著作 
名稱  B.S. Chen, C.C. Chiang and F.H. Hsiao (1984), “Deadbeat Controller Synthesis: Multivariable Case”, International Journal of Control, Vol. 40, No. 6, pp. 12071213 (SCI & EI). 
年度  1984 
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名稱  F.H. Hsiao and B.S. Chen (1987), “LQG Optimal Controller Synthesis with Robust Optimization in Multivariable Systems”, Journal of Chinese Institute of Engineers, Vol. 10, No. 5, pp. 517529 (SCI & EI). 
年度  1987 
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名稱  F.H. Hsiao and B.S. Chen (1988), “LQG Optimal and Robust Controller Design for Nonlinear Stochastic System: Multivariable Case”, Journal of The Franklin Institute, Vol. 325, No. 2, pp. 189206 (SCI & EI). 
年度  1988 
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名稱  F.H. Hsiao and B.S. Chen (1988), “The Optimal Robustness in LQG Multivariable Systems with TimeVarying Nonlinear Uncertainties”, Tatung Journal, Vol. 16, pp. 131138. 
年度  1988 
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名稱  F.H. Hsiao and B.S. Chen (1988), “Robust Controller Synthesis of Multivariable System Subjected to Noises and Nonlinear Timevarying Plant Perturbation”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 110, No. 3, pp. 336340 (SCI & EI). 
年度  1988 
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名稱  F.H. Hsiao and B.S. Chen (1988), “The Robust Optimization of Multivariable Systems with Timevarying Nonlinear Perturbations”, Journal of Chinese Institute of Engineers, Vol. 10, No. 3, pp. 317327 (SCI & EI). 
年度  1988 
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名稱  F.H. Hsiao and B.S. Chen (1988), “LQG Controller Synthesis with Noise Spectral Uncertainties and Nonlinear Timevarying Perturbations”, Journal of The Franklin Institute, Vol. 325, No. 6, pp. 669 686 (SCI & EI). 
年度  1988 
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名稱  F.H. Hsiao and B.S. Chen (1988), “The Robustness Optimization in LQG Multivariable Systems with Timevarying Nonlinear Perturbations”, International Journal of Systems Science, Vol. 19, No. 10, pp. 20192046 (SCI & EI). 
年度  1988 
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名稱  J.G. Hsieh and F.H. Hsiao (1989), “Robust Controller Synthesis in Nonlinear Multivariable Systems: Using Dither as Auxiliary”, International Journal Systems Science, Vol. 20, No. 12, 25152537 (SCI & EI). 
年度  1989 
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名稱  F.H. Hsiao and B.S. Chen (1989), “Robust Controller Synthesis of LQG Optimal System with Noise Spectral Uncertainties and Nonlinear Timevarying Unmodeled Dynamics”, Journal of Chinese Institute Engineers, Vol. 12, No. 1, pp. 4757 (SCI & EI). 
年度  1989 
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名稱  J.G. Hsieh and F.H. Hsiao (1989), “Robust Controller Synthesis in Nonlinear Multivariable Systems”, International Journal of Systems Science, Vol. 20, No. 12, pp. 25152537 (SCI & EI). 
年度  1989 
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名稱  J.G. Hsieh and F.H. Hsiao (1990), “MultiObjective Controller Design for Discrete Stochastic Optimal Systems with Nonlinear Timevarying Unmodeled Dynamics and Noise Spectral Uncertainties”, International Journal of Systems Science, Vol. 21, No. 10, pp. 19771996 (SCI & EI). 
年度  1990 
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名稱  F.H. Hsiao and J.G. Hsieh (1991), “Robust LQG Optimal Controller Design for Multivariable Discrete Saturating Systems with Noise Spectral Uncertainties and Nonlinear Timevarying Unmodeled Dynamics”, International Journal of Systems Science, Vol. 22, No. 11, pp. 21212142 (SCI & EI). 
年度  1991 
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名稱  F.H. Hsiao, J.G. Hsieh and S.L. Fann (1991), “Application of Persidskii Theorem to Nonlinear System Stabilization via Dynamic Output Feedback”, International Journal of Systems Science, Vol. 22 , No. 11, pp. 21432151 (SCI & EI). 
年度  1991 
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名稱  J.S. Cheng, F.H. Hsiao and J.G. Hsieh (1991), “Multipurpose Controller Design Using Parametric Optimization with Dynamic Constraints”, International Journal of Systems Science, Vol. 22, No.11, pp. 21012119 (SCI & EI). 
年度  1991 
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名稱  F.H. Hsiao, J.G. Hsieh and M.S. Wu (1991), “Determination of the Tolerable Sector of Series Nonlinearities in Uncertain Timedelay Systems under Dynamical Output Feedback”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 113, No. 3, pp. 525531(SCI & EI). 
年度  1991 
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名稱  F.H. Hsiao and J.G. Hsieh (1991), “Robust LQG Optimal Controller Design for Multivariable Discrete Saturating Systems with Noise Spectral Uncertainties and Nonlinear Timevarying Unmodeled Dynamics”, International Journal of Systems Science, Vol. 22, No. 11, pp. 21212142 (SCI & EI). 
年度  1991 
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名稱  F.H. Hsiao and J.G. Hsieh (1992), “Robust LQG Optimal Controller Synthesis Against Noise Spectral Uncertainties and Nonlinear Timevarying Unmodeled Dynamics”, Systems & Control Letters, Vol. 16, No. 3, pp. 167178 (SCI & EI). 
年度  1992 
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名稱  F.H. Hsiao (1992), “Robust Stability of Discrete Multivariable Systems Subject to Nonlinear Timevarying Unmodeled Dynamics”, International Journal of Systems Science, Vol. 23, No. 10, pp. 17171730 (SCI & EI). 
年度  1992 
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名稱  F.H. Hsiao, K.L. Yeh and L.G. Shiau (1993),”Robust Dstability Analysis for Discrete Uncertain Systems with Multiple Time Delays”, IEEE TENCON on Computers, Communication and Automation, pp. 451454. 
年度  1993 
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名稱  F.H. Hsiao (1993),”Stabilization of Uncertain Timedelay Systems with Series Nonlinearities”, International Journal of Systems Science, Vol. 24, No.11, pp. 21752186 (SCI & EI). 
年度  1993 
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名稱  F.H. Hsiao (1993), “Robustness Optimization of Discrete Multivariable Systems with Nonlinear Timevarying Unmodelled Dynamics”, International Journal of Systems Science, Vol. 24, No.1, pp. 7996 (SCI & EI). 
年度  1993 
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名稱  F.H. Hsiao, J.D. Hwang, S.T. Pan and L.G. Shiau (1993), “Stability Analysis of Dithered Nonlinear Singularly Perturbed Systems with Multiple Time Delays”, IEEE TENCON on Computers, Communication and Automation, pp. 14. 
年度  1993 
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名稱  F.H. Hsiao (1994), “Optimal Controller Design for Discrete Saturating Systems”, International Journal of Control, Vol. 59, No. 2, pp. 411438 (SCI & EI). 
年度  1994 
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名稱  F.H. Hsiao, J.G. Hsieh and C.Y. Deng (1994), “Using Linear Feedback Laws to Augment the Quadratic Estimates of Stability Region of Nonlinear Systems”, International Journal of Systems Science, Vol. 25, No.1, pp. 6581 (SCI & EI). 
年度  1994 
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名稱  F.H. Hsiao, J.G. Hsieh and J.S. Chang (1995), “New Algebraic Criteria for Absolute Stability of Nonlinear Systems”, International Journal of Robust and Nonlinear Control, Vol. 5, No. 6, pp. 591607 (SCI & EI). 
年度  1995 
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名稱  F.H. Hsiao (1995), “Stability Analysis of Nonlinear Multiple Timedelay Systems with a Periodic Input”, ControlTheory and Advanced Technology, Vol. 10, No. 4, Part 2, pp. 12231233 (SCI & EI). 
年度  1995 
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名稱  F.H. Hsiao, S.T. Pan and S.L. Fann (1995), “Application of A Twostep Compensating Scheme to A Class of Nonlinear Control Systems”, Journal of The Franklin Institute, Vol. 332B, No. 3, pp. 275284 (SCI & EI). 
年度  1995 
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名稱  F.H. Hsiao, S.T. Pan and S.L. Fann (1995), “Stabilization of A Class of Nonlinear Control Systems via Dynamic Output Feedback”, Journal of The Franklin Institute, Vol. 332B, No. 3, pp. 263273 (SCI & EI). 
年度  1995 
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名稱  F.H. Hsiao and J.D. Hwang (1996), “Stabilization of Nonlinear Singularly Perturbed Multiple Timedelay Systems by Dither”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 118, No. 1, pp. 176181 (SCI & EI). 
年度  1996 
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名稱  S.T. Pan, F.H. Hsiao and C.C. Teng (1996), “Stability Bound of Multiple Timedelay Singularly Perturbed Systems”, Electronics Letters, Vol. 32, No. 14, pp. 13271328 (SCI & EI). 
年度  1996 
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名稱  F.H. Hsiao and S.T. Pan (1996), “Robust Kalman Filter Synthesis of Uncertain Multiple Timedelay Systems”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 118, No. 4, pp. 803808 (SCI & EI). 
年度  1996 
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名稱  F.H. Hsiao and J.D. Hwang (1996), “Criterion for Asymptotic Stability of Uncertain Multiple Timedelay Systems”, Electronics Letters, Vol. 32, No. 4, pp. 410411 (SCI & EI). 
年度  1996 
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名稱  S.T. Pan, F.H. Hsiao and C.C. Teng (1996), “Dynamic Output Feedback Control of Nonlinear Singularly Perturbed Systems”, Journal of The Franklin Institute, Vol. 333b, No. 6, pp. 947973 (SCI & EI). 
年度  1996 
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名稱  F.H. Hsiao, C.E. Lin, C.D. Yang and C.Y. Chang (1996), “HInfinity Optimal ObserverBased Controller Design for Nonlinear Multivariable Systems”, Journal of Mathematical Analysis and Applications, Vol. 203, pp. 573596 (SCI & EI). 
年度  1996 
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名稱  F.H. Hsiao, S.T. Pan and C.C. Teng (1996), “Optimal Dstable Control for Discrete Multiple Timedelay Systems with Parametric Uncertainties”, Journal of The Franklin Institute, Vol. 333b, No. 6, pp. 9911000 (SCI & EI). 
年度  1996 
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名稱  F.H. Hsiao and J.D. Hwang (1997), “Dither in Linear Systems with Memoryless Nonlinearity and Optimal Control”, IEEE Trans. on Circuits and SystemsPart I, Vol. 44, No. 5, pp. 412421 (Full Paper) (SCI & EI). 
年度  1997 
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名稱  F.H. Hsiao, S.T. Pan and C.C. Teng (1997), “Dstability Bound Analysis for Discrete Multiparameter Singularly Perturbed Systems”, IEEE Trans. on Circuits and SystemsPart I, Vol. 44, No. 4, pp. 347351 (SCI & EI). 
年度  1997 
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名稱  F.H. Hsiao, S.T. Pan and C.C. Teng (1997), “Robust Controller Design for Discrete Uncertain Multiple Timedelay Systems”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 119, No. 1, pp. 122127 (SCI & EI). 
年度  1997 
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名稱  F.H. Hsiao and J.D. Hwang (1997), “Optimal Controller for Dithered Systems with Backlash or Hysteresis”, Journal of Optimization Theory and Applications, Vol. 94, No. 1, pp. 87113 (SCI & EI). 
年度  1997 
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名稱  F.H. Hsiao and J.D. Hwang (1997), “Stability Analysis of Uncertain Feedback Systems with Multiple Time Delays and Series Nonlinearities”, Journal of The Franklin Institute, Vol. 334b, No. 3, pp. 491505 (SCI & EI). 
年度  1997 
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名稱  F.H. Hsiao, J.D. Hwang and I.L. Chen (1998), “Stabilization of Nonlinear Largescale Systems by Dithers”, International Journal of Control, Vol. 70, No. 2, pp. 203226 (SCI & EI). 
年度  1998 
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名稱  S.T. Pan, F.H. Hsiao and L.G. Shiau (1998), “Composite Feedback Control of Discrete Multiparameter Singularly Perturbed Systems”, International Journal of Control, Vol. 69, No. 4, pp. 577597 (SCI & EI). 
年度  1998 
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名稱  F.H. Hsiao, J.D. Hwang and S.T. Pan (1998), “Dstability Analysis for Discrete Uncertain Timedelay Systems”, Applied Mathematics Letters, Vol. 11, No. 2, pp. 109114 (SCI & EI). 
年度  1998 
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名稱  F.H. Hsiao, S.T. Pan and C.C. Teng (1999), “An Efficient Algorithm for Finding The Dstability Bound of Discrete Singularly Perturbed Systems with Multiple Time Delays”, International Journal of Control, Vol. 72, No. 1, pp.117 (SCI & EI). 
年度  1999 
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名稱  F.H. Hsiao, S.T. Pan and J.D. Hwang (2000), “Dstabilization Control for Discrete TwoTimeScale Systems”, IEEE Control Systems Magazine, Vol. 20, No. 1, pp. 5666 (SCI & EI). 
年度  2000 
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名稱  F.H. Hsiao, J.D. Hwang and Z.R. Tsai (2001), ”Taming Chaotic Systems with Dithers”, Physica D, Vol. 156, pp. 239246 (SCI & EI). 
年度  2001 
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名稱  F.H. Hsiao, J.D. Hwang and S.T. Pan (2001), ”Stabilization of Discrete Singularly Perturbed Systems under Composite Observerbased Control”, ASME Trans. Journal of Dynamic Systems, Measurement, and Control, Vol. 123, No. 1, pp. 132139 (SCI & EI). 
年度  2001 
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名稱  F.H. Hsiao and J.D. Hwang (2002), “Stability Analysis of Fuzzy LargeScale Systems”, IEEE Trans. on Systems, Man, and CyberneticsPart B, Vol. 32, pp. 122126 (SCI & EI). 
年度  2002 
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名稱  J.D. Hwang and F.H. Hsiao (2003), “Stability Analysis of NeuralNetwork Interconnected Systems“, IEEE Trans. on Neural Networks, Vol. 14, No. 1, pp. 201208 (SCI & EI). 
年度  2003 
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名稱  F.H. Hsiao, C.W. Chen and W.L. Chiang (2003), “Application of Fuzzy Control via TS Fuzzy Models for Nonlinear TimeDelay Systems”, International Journal on Artificial Intelligence Tools, Vol. 12, No. 2, pp. 117137. 
年度  2003 
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名稱  F.H. Hsiao, J.D. Hwang and S.T. Pan (2003), “Dstability Problem of Discrete Singularly Perturbed Systems“, International Journal of Systems Science, Vol. 34, No. 3, pp. 227236 (SCI & EI). 
年度  2003 
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名稱  F.H. Hsiao, W.L. Chiang and C.W. Chen (2003), ”Application of Stability Criterion for Structure Systems”, Journal of The Society of Naval Architects and Marine Engineers, Vol. 22, No. 3, pp. 153158 (EI). 
年度  2003 
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名稱  C.W. Chen, W.L. Chiang and F.H. Hsiao (2004), “Stability Analysis of TS Fuzzy Models for Nonlinear Multiple TimeDelay Interconnected Systems”, Mathematics and Computers in Simulation, Vol. 66, No. 6, pp. 523537 (SCI & EI). 
年度  2004 
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名稱  W.L. Chiang, C.W. Chen and F.H. Hsiao (2004), “Stability Analysis of Nonlinear Interconnected Systems via TS Fuzzy Models”, International Journal of Computational Intelligence and Applications, Vol. 4, No. 1, pp. 4155 ( EI). 
年度  2004 
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名稱  F.H. Hsiao and J.D. Hwang (2004), “Fuzzy Control of Chaotic Systems by Dithers”, International Journal of Theoretical Physics, Group Theory, and Nonlinear Optics, Vol. 10, No. 4, pp. 387414 (SCI & EI). 
年度  2004 
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名稱  F.H. Hsiao, S.D. Xu, C.Y. Lin and Z.R. Tsai, “Robustness Design of Fuzzy Control for Nonlinear Multiple TimeDelay Largescale Systems via NeuralNetworkBased Approach”, IEEE Trans. on Systems, Man, and CyberneticsPart B, Vol. 38, pp. 244251. 
年度  2008 
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名稱  F.H. Hsiao, “Fuzzy Control of Dithered Chaotic Systems via NeuralNetworkBased Approach”, Journal of the Franklin Institute, Vol. 347, pp. 11141136. 
年度  2010 
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名稱  F. H. Hsiao, "Robust Fuzzy Controller Design for Nonlinear Multiple TimeDelay Systems by Dithers", Fuzzy Sets and Systems, Vol. 161, pp. 27602779. 
年度  2010 
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名稱  K.H. Su and F.H. Hsiao, “Design of GABased Control for Electrical Servo Drive”, Advanced Materials Research, Vol. 201, pp. 23752378. 
年度  2011 
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名稱  TS Fuzzy Control for Dithered Nonlinear Singularly Perturbed Systems with Multiple Time Delays 
年度  2012 
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摘要  This paper is concerned with the stability problem of nonlinear multiple timedelay singularly perturbed (NDSP) systems. To overcome the effect of modeling error between the reducedorder model of the NDSP plant and Takagi–Sugeno (TS) fuzzy models, a robustness design of modelbased fuzzy control is proposed in this study. A stability criterion in terms of Lyapunov’s direct method is derived to guarantee the asymptotic stability of NDSP systems. According to this criterion, a modelbased fuzzy controller is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the NDSP system. If the designed fuzzy controller cannot stabilize the NDSP system, a highfrequency signal, commonly referred to as dither, is simultaneously introduced to stabilize it. Based on the relaxed method, the NDSP system can be stabilized by regulating appropriately the parameters of dither. If the dither’s frequency is high enough, the output of the dithered reduced system and that of its corresponding mathematical modelthe relaxed reduced system can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered reduced system based on the one of the relaxed reduced system. 
關鍵字  Singularly perturbed systems, TS fuzzy control, dither, relaxed system 
名稱  Robust Fuzzy Control of Dithered Chaotic System 
年度  2012 
類別  期刊論文 
摘要  In this study, a combining scheme of fuzzy controllers and dithers via NNbased approach was proposed to tame the chaotic system. In terms of Lyapunov＊s direct method, a stability criterion was derived to guarantee that the trajectory described by the chaotic system under fuzzy control can be steered into a periodic orbit or a steady state. According to the stability condition of this criterion, a fuzzy controller was then synthesized to control chaos and achieve the H control performance at the same time. A high frequency signal (commonly referred to as dither) was simultaneously injected to quench the chaotic motion when the fuzzy controller cannot quell the chaos. Finally, a numerical example of Chua＊s oscillator circuit with simulations is provided to demonstrate the feasibility of our approach. 
關鍵字  Chaos, Dither, Fuzzy control, Neural networks. 
名稱  An NNBased Approach to Hinfinity Fuzzy Control for Nonlinear Multiple TimeDelay Systems by Dithers 
年度  2012 
類別  期刊論文 
摘要  This study presents a robustness design of fuzzy control for nonlinear multiple timedelay (NMTD) systems. First, a neuralnetwork (NN) model is constructed for the NMTD plant. The dynamics of the NN model is then converted into a linear differential inclusion (LDI) statespace representation. Next, in terms of Lyapunov’s direct method, a delaydependent stability criterion is derived to guarantee the stability of NMTD systems. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). Based on the LMI, a fuzzy controller is synthesized to stabilize the NMTD system and achieve the control performance at the same time. When the designed fuzzy controller cannot stabilize the NMTD system, a highfrequency signal (commonly referred to as dither) is simultaneously introduced to stabilize it. If the dither’s frequency is high enough, the output of the dithered system and that of its corresponding mathematical model the relaxed system can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered system based on the one of the relaxed system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper. 
關鍵字  Neural network (NN), Modeling error, fuzzy control, Dither. 
名稱  DelayDependent Exponential Optimal Hinfinity Synchronization for Nonidentical Chaotic Systems via NeuralNetworkBased Approach 
年度  2013 
類別  期刊論文 
摘要  In this study, a novel approach is presented to realize the optimal H ∞ exponential synchronization of nonidentical multiple timedelay chaotic (MTDC) systems via fuzzy control scheme. A neuralnetwork (NN) model is first constructed for the MTDC system. Then, a linear differential inclusion (LDI) statespace representation is established for the dynamics of the NN model. Based on this LDI statespace representation, a delaydependent exponential stability criterion of the error system derived in terms of Lyapunov’s direct method is proposed to guarantee that the trajectories of the slave system can approach those of the master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). According to the LMI, a fuzzy controller is synthesized not only to realize the exponential synchronization but also to achieve the optimal H ∞ performance by minimizing the disturbance attenuation level at the same time. Finally, a numerical example with simulations is given to demonstrate the effectiveness of our approach. 
關鍵字  Exponential H ∞ synchronization, Nonidentical chaotic systems, Neural network model, Delaydependent stability criterion. 
名稱  DelayDependent Fuzzy Control for Nonlinear Multiple TimeDelay Largescale Systems by Dithers: NeuralNetworkBased Approach 
年度  2013 
類別  期刊論文 
摘要  In this study, the stabilization problem for nonlinear multiple timedelay largescale systems is considered. First, a neuralnetwork (NN) model is employed to approximate each interconnected subsystem. Then, a linear differential inclusion (LDI) statespace representation is established for the dynamics of the NN model. Based on this LDI statespace representation, a robust fuzzy control design is proposed to overcome the effect of modeling errors between the nonlinear multiple timedelay largescale systems and the NN models. Next, in terms of Lyapunov’s direct method, a delaydependent criterion is derived in order to guarantee the stability (UUB) of nonlinear multiple timedelay largescale systems. Subsequently, the stability conditions of this criterion are reformulated into linear matrix inequalities (LMIs). Based on the LMIs and the decentralized control scheme, a set of fuzzy controllers is then synthesized to stabilize the nonlinear largescale system and the control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the nonlinear largescale system, a batch of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the nonlinear largescale system. The injection of highfrequency signals, commonly called dithers, into nonlinear systems may improve their performance. If the frequencies of the dithers are high enough, the outputs of the dithered largescale system and those of its corresponding mathematical model—the relaxed largescale system can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered largescale system by establishing that of the relaxed largescale system. Finally, a numerical example with simulations is provided to illustrate the feasibility of our approach. 
關鍵字  Largescale systems, Dither, control, Delaydependent stability criterion. 
名稱  Delaydependent TS Fuzzy Control for Nonlinear Interconnected Systems: Using Dithers as Auxiliaries 
年度  2013 
類別  期刊論文 
摘要  In this study, a novel approach via the composite of fuzzy controllers and dithers is presented. According
to this approach, we can synthesize a set of fuzzy controllers and find appropriate dithers to stabilize nonlinear
multiple timedelay (NMTD) interconnected systems. A robustness design of modelbased fuzzy
control is first proposed to overcome the effect of modeling errors between the NMTD interconnected subsystems
and Takagi–Sugeno (T–S) fuzzy models. In terms of Lyapunov’s direct method, a delaydependent
stability criterion is then derived to guarantee the asymptotic stability of NMTD interconnected systems.
Based on this criterion and the decentralized control scheme, a set of modelbased fuzzy controllers is
synthesized via the technique of parallel distributed compensation (PDC) to stabilize the NMTD interconnected
system. When the designed fuzzy controllers cannot stabilize the NMTD interconnected systems,
a batch of highfrequency signals (commonly referred to as dithers) is simultaneously introduced to stabilize
it. If the frequencies of dithers are high enough, the outputs of the dithered interconnected system
and those of its corresponding mathematical model–the relaxed interconnected system can be made as
close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered interconnected
system based on the one of the relaxed interconnected system. Finally, a numerical example
is given to illustrate the feasibility of our approach. 
關鍵字  
名稱  Robustness Design of Fuzzy Controllers for Nonlinear Multiple TimeDelay Singularly Perturbed Systems: Using Dither as Auxiliary 
年度  2013 
類別  期刊論文 
摘要  The stabilisation problem is considered in this study for nonlinear multiple timedelay singularly perturbed
(NDSP) systems. First, a neuralnetwork (NN) model is employed to approximate the reducedorder model of
the NDSP plant. Then, a linear differential inclusion (LDI) statespace representation is established for the
dynamics of the NN model. Based on this LDI statespace representation, a robustness design of fuzzy control is
proposed to stabilise the NDSP system. If the designed fuzzy controller cannot stabilise the NDSP system, a
dither (as an auxiliary of the fuzzy controller) is simultaneously introduced to stabilise the NDSP system. If the
frequency of dither is high enough, the outputs of the dithered system and its corresponding mathematical model,
the relaxed system, can be made as close as desired. This makes it possible to obtain a rigorous prediction of the
stability of the dithered system by establishing that of the relaxed system. Finally, this study provides a numerical
example with simulations to illustrate the concepts discussed throughout this article. 
關鍵字  
名稱  Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control 
年度  2013 
類別  期刊論文 
摘要  This study presents an effective approach to realize the optimal exponential synchronization of multiple timedelay chaotic (MTDC) systems. First, a neural network (NN) model is employed to approximate the MTDC system. Then, a linear differential inclusion (LDI) statespace representation is established for the dynamics of the NN model. Based on this LDI statespace representation, this study proposes a delaydependent exponential stability criterion of the error system derived in terms of Lyapunov’s direct method to ensure that the trajectories of the slave system can approach those of the master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). Based on the LMI, a fuzzy controller is synthesized not only to realize the exponential synchronization but also to achieve the optimal performance by minimizing the disturbance attenuation level. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this work. 
關鍵字  
名稱  Optimal Hinfinity Fuzzy Control for Nonlinear Multiple TimeDelay Interconnected Systems: Using Dithers as Auxiliaries 
年度  2014 
類別  期刊論文 
摘要  This paper presents an effective approach to stabilize nonlinear multiple timedelay (NMTD) interconnected
systems via a composite of fuzzy controllers and dithers. First, a neuralnetwork (NN) model is employed to
approximate each subsystem. Then, the dynamics of the NN model is converted into a linear differential inclusion
(LDI) statespace representation. Next, in terms of Lyapunovs direct method, a delaydependent stability criterion is
derived to guarantee the exponential stability of the NMTD interconnected system. Subsequently, the stability
conditions of this criterion are reformulated into a linear matrix inequality (LMI). Based on the LMI, a robustness
design of fuzzy control is synthesized not only to stabilize the NMTD interconnected system but also to achieve the
optimal H1 performance by minimizing the disturbance attenuation level. A set of highfrequency signals
(commonly referred to as dithers) is simultaneously injected to stabilize the NMTD interconnected system when
the designed fuzzy controllers cannot stabilize it. If the dithers’ frequencies are high enough, the outputs of the
dithered interconnected system and those of its corresponding mathematical model, the relaxed interconnected
system, can be made as close as desired. This makes it possible to get a rigorous prediction of the stability of the
dithered interconnected system by establishing the stability of the relaxed interconnected system. Finally, a
numerical example with simulations is given to illustrate the feasibility of our approach.
& 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. 
關鍵字  
名稱  DelayDependent Stability of Chaotic Systems with Exponential Synchronization 
年度  2014 
類別  期刊論文 
摘要  This study is concerned with the synchronization problem for a class of chaotic systems with multiple timedelays and transmitted noise. A dynamic compensator is proposed to achieve the synchronization between master and slave chaotic systems with multiple timedelays. First, the neuralnetwork (NN) model is employed to approximate the chaotic systems with multiple time delays. Then, a linear differential inclusion (LDI) statespace representation is established for the dynamics of the NN model. Based on the LDI statespace representation, an exponential stability criterion of error dynamics derived in terms of Lyapunov’s direct method is proposed to ensure that the trajectories of the slave system can approach those of master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). Based on the LMI, a fuzzy controller is synthesized to realize the exponential synchronization of the chaotic masterslave systems. Finally, this study provides a numerical example with simulations is given to illustrate the concepts discussed throughout this work. 
關鍵字  
名稱  Exponential H ∞ Synchronization of Chaotic Cryptosystems Using an Improved Genetic Algorithm 
年度  2015 
類別  期刊論文 
摘要  This paper presents a systematic design methodology for neuralnetwork (NN) based secure communications in multiple timedelay chaotic (MTDC) systems with optimal𝐻∞ performance and cryptography. On the basis of the Improved Genetic Algorithm (IGA), which is demonstrated to have better performance than that of a traditional GA, a modelbased fuzzy controller is then synthesized to stabilize the MTDC systems. A fuzzy controller is synthesized to not only realize the exponential synchronization, but also achieve optimal𝐻∞ performance by minimizing the disturbance attenuation level. Furthermore, the error of the recovered message is stated by using the 𝑛shift cipher and key. Finally, a numerical example with simulations is given to demonstrate the effectiveness of our approach. 
關鍵字  Exponential synchronization, Chaotic communication, Cryptography, Fuzzy control, Genetic algorithm, Neural Network. 
名稱  A NeuralNetwork Based Exponential H∞ Synchronization for Chaotic Secure Communication via Improved Genetic Algorithm 
年度  2015 
類別  期刊論文 
摘要  In this study, a novel approach via improved genetic algorithm (IGA)based fuzzy observer is proposed to
realise exponential optimal H synchronisation and secure communication in multiple timedelay chaotic
(MTDC) systems. First, an original message is inserted into the MTDC system. Then, a neuralnetwork (NN)
model is employed to approximate the MTDC system. Next, a linear differential inclusion (LDI) statespace
representation is established for the dynamics of the NN model. Based on this LDI statespace representation,
this study proposes a delaydependent exponential stability criterion derived in terms of Lyapunov’s
direct method, thus ensuring that the trajectories of the slave system approach those of the master system.
Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI).
Due toGA’s random global optimisation search capabilities, the lower and upper bounds of the search space
can be set so that the GA will seek better fuzzy observer feedback gains, accelerating feedback gainbased
synchronisation via the LMIbased approach. IGA, which exhibits better performance than traditional GA,
is used to synthesise a fuzzy observer to not only realise the exponential synchronisation, but also achieve
optimal H performance by minimizing the disturbance attenuation level and recovering the transmitted
message. Finally, a numerical example with simulations is given in order to demonstrate the effectiveness
of our approach.
1. 
關鍵字  Delaydependent stability criterion, Improved genetic algorithm, fuzzy observer 
名稱  NeuralNetwork Based Approach on Delaydependent Robust Stability Criteria for Dithered Chaotic Systems with Multiple TimeDelay 
年度  2016 
類別  期刊論文 
摘要  A novel approach is proposed in this study to eliminate the chaotic motion by a fuzzy controller and an appropriate dither. First, a backpropagation (BP) neuralnetwork (NN) model is used to approximate the multiple timedelay chaotic system. Then, a linear differential inclusion (LDI) statespace representation is established for the dynamics of the NN model. Based on the LDI statespace representation, this study proposes a delaydependent stability criterion derived in terms of Lyapunov’s direct method to guarantee that the trajectories of the multiple timedelay chaotic (MTDC) system under fuzzy control can be steered into a periodic orbit. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). According to the LMI, a fuzzy controller is then synthesized to tame the multiple timedelay chaotic (MTDC) system. If the fuzzy controller cannot suppress the chaos, a high frequency signal, commonly called dither, is simultaneously injected to eliminate the chaotic motion by regulating the dither’s parameters. If the frequency of dither is high enough, the trajectories of the dithered chaotic system and its corresponding mathematical modelthe relaxed system can be made as close as desired. This make it possible to obtain a rigorous prediction of the dithered chaotic system’s behavior by establishing the relaxed system. Finally, this study provides a numerical example of the Chen’s chaotic system with simulations to illustrate the concepts discussed throughout this paper.

關鍵字  Delay dependent stability criterion; Neural network; Chaos; Dither; Fuzzy control 
名稱  Optimal Fuzzy Control of Exponential Synchronization via Genetic Algorithm 
年度  2016 
類別  期刊論文 
摘要  In this study, a novel approach via GAbased fuzzy control is proposed to realize the exponential optimal Hœ synchronisation of MTDC systems. A robustness design of modelbased fuzzy control is first presented to overcome the effect of modelling errors between the MTDC systems and TS fuzzy models. Next, a delay dependent exponential stability criterion is derived in terms of Lyapunov’s direct method to guarantee that the trajectories of the slave system can approach those of the master system. Subsequently, the stability conditions of this criterion are reformulated into LMIs. According to the LMIs, a fuzzy controller is then syn thesised to exponentially stabilise the error systems. Moreover, the capability of GA in random search for nearoptimal solutions, the lower and upper bounds of the search space based on the feedback gains via LMI approach can be set so that the GA will seek better feedback gains of fuzzy controllers to speed up the synchronisation. Additionally, an IGA was proposed to overcome both the shortcomings of premature con vergence of GA and local search. According to the IGA, a fuzzy controller is synthesised not only to realise the exponential synchronisation but also to achieve the optimal Hœ performance by minimising the disturbance attenuation level.

關鍵字  Exponential H∞ synchronisation; chaotic systems; delaydependent stability criterion; improved genetic algorithm 
名稱  Applying Elliptic Curve Cryptography to A Chaotic Synchronization System: Neuralnetworkbased Approach 
年度  2017 
類別  期刊論文 
摘要  In order to obtain double encryption via elliptic curve cryptography (ECC) and chaotic synchronisation, this
study presents a design methodology for neuralnetwork (NN)based secure communications in multiple
timedelay chaotic systems. ECC is an asymmetric encryption and its strength is based on the difficulty of
solving the elliptic curve discrete logarithm problem which is a much harder problem than factoring integers.
Because it is much harder, we can get away with fewer bits to provide the same level of security. To
enhance the strength of the cryptosystem, we conduct double encryption that combines chaotic synchronisation
with ECC. According to the improved genetic algorithm, a fuzzy controller is synthesised to realise the
exponential synchronisation and achieves optimal H performance by minimising the disturbances attenuation
level. Finally, a numerical example with simulations is given to demonstrate the effectiveness of the
proposed approach. 
關鍵字  Elliptic curve cryptography; double encryption; chaotic synchronisation; improved genetic algorithm 
名稱  Chaotic synchronization cryptosystems combined with RSA encryption algorithm 
年度  2017 
類別  期刊論文 
摘要  Chaotic synchronization has suffered from demodulating information by hackers via the public channel. Different methods have been developed to hide the contents of a message using chaotic signals. Nevertheless, many studies have shown that most of the existing methods are unreliable in the aspect of security. According to the above, in order to enhance the strength of the cryptosys tem and provide greater security, we carry out double encryption which combines chaotic synchronization with RSA algorithm. In this study, a design methodology for neuralnetwork (NN)based secure communications in multiple timedelay chaotic (MTDC) systems is proposed to obtain double encryption via RSA algorithm and chaotic synchronization. RSA algorithm is an asymmetric encryption and its strength is based on the tremendous difficulty of factorizing two large prime numbers. Accordingly, it takes much more time to process RSA algorithm if the length of the key is much longer. A shorter key is used to decrease the process ing time of RSA algorithm in this work. Nevertheless, it will result in a lower security of the cryptosystem. In order to enhance the strength of the cryptosystem, we carry out double encryption which combines chaotic synchronization with RSA algorithm. Moreover, an IGA is proposed in this study to effectively overcome the weakness of the traditional GA. On the basis of the IGA,
a fuzzy controller is synthesized to not only realize the exponential synchronization, but also achieve optimal H ∞ performance by
minimizing the disturbances attenuation level. Finally, a numerical example with simulations is given to illustrate the effectiveness of our approach.

關鍵字  Chaotic synchronization cryptosystems combined with RSA encryption algorithm 
名稱  J. D. Hwang and F.H. Hsiao (1998), “多重時間延遲不確定迴授系統之穩定性分析”, 第十三屆全國技術及職業教育研討會工業類：電機組， pp. 2331. 
年度  1998 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, F.H. Hsiao, L. I. Yang and K. Y. Chiang (1999), “Controlling a class of chaotic systems by dithers”, Proceedings of Automatic Control Conference, pp. 620624, . 
年度  1999 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, C. L. Yeh, F.H. Hsiao and L. I. Yang (1999), “Fuzzy control of chaotic systems by dithers”, 第十一屆全國自動化科技研討會, pp. 14811487. 
年度  1999 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, C. L. Yeh, F.H. Hsiao and K. Y. Chiang (1999), “Fuzzy control of nonlinear systems: using dithers as auxiliaries”, 第十一屆全國自動化科技研討會, pp. 14891496. 
年度  1999 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, Y. C. Lin, Z. R Tsai and F.H. Hsiao (2000), “Stability analysis of fuzzy largescale systems”, Proceedings of Automatic Control Conference, pp. 547551. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  C. L. Yeh, J. D. Hwang, Y. Z. Qiu and F.H. Hsiao (2000), “Fuzzy control of nonlinear systems: using dithers as auxiliaries”, Proceedings of Automatic Control Conference, pp. 967972. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  Z. R. Tsai, J. D. Hwang, L. G. Shiau and F.H. Hsiao (2000), “Stabilization of Fuzzy LargeScale Systems with Multiple Time Delays”, Proceedings of the Fifth Conference on Artificial Intelligence and Application (TAAI), pp. 137142. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, J.D. Hwang and L.G. Shiau (2000), “Decentralized Stabilization of Fuzzy LargeScale Systems”, Proceedings of the 39th IEEE Conference on Decision & Control, Sydney, Australia, pp. 34473452. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, L. G. Shiau and F.H. Hsiao (2000), “Stability Analysis of NeuralNetwork LargeScale Systems”, Proceedings of Eighth National Conference on Fuzzy Theory and Its Application. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  Z. R. Tsai, L. G. Shiau, J. D. Hwang, C.W. Chen and F.H. Hsiao (2000), “Robustness Design of Nonlinear Largescale Systems via Decentralized Fuzzy Control”, Proceedings of Eighth National Conference on Fuzzy Theory and Its Application,. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  Z. R. Tsai, J. D. Hwang, C.W. Chen and F.H. Hsiao (2000), “Delay dependent Stability Criterion for Multiple TimeDelay Fuzzy Largescale Systems”, Proceedings of Eighth National Conference on Fuzzy Theory and Its Application. 
年度  2000 
類別  研討會 
摘要  
關鍵字  
名稱  蕭鳳翔、王國彬、吳東昆、強國甯、林文星 (2001), “聚乙烯產物等級轉換控制研究”, 第一屆台塑集團應用工程技術研討會(C0005)。 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  王國彬、蕭鳳翔、錢義隆、吳東昆、強國甯、林文星 (2001), “聚乙烯重合反應製程之進階控制研究”, 第一屆台塑集團應用工程技術研討會(C0007)。 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  王國彬、蕭鳳翔、錢義隆、吳東昆、強國甯、林文星 (2001), “應用模式辨別技術於工業級聚合反應器”, 第一屆台塑集團應用工程技術研討會(C0008)。 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  Z.R. Tsai, J.D. Hwang, C.W. Chen and F.H. Hsiao (2001), “Robust Stabilization of Nonlinear Multiple TimeDelay Systems via Decentralized Fuzzy control”, Proceedings of Chinese Automatic Control Conference, pp. 915920. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, Y. H. Wu, C.W. Chen, W. L. Chiang, and F.H. Hsiao (2001), “Robustness Design of Fuzzy Decentralized PDC Controllers for Nonlinear Interconnected Systems“, 第十二屆全國自動化科技研討會, pp. 2525. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, J.D. Hwang and Z.R. Tsai (2001), “Stabilization of Fuzzy Interconnected Systems with Multiple Time Delays”, Proceedings of 1st IFAC Symposium on System Structure and Control, Prague. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, C.W. Chen, C. L. Wu, K. C. Tsao and F.H. Hsiao (2001), “Robustness Design of Nonlinear Interconnected Systems via Decentralized Fuzzy Control”, Proceedings of Ninth National Conference on Fuzzy Theory and Its Applications, Taoyuan, pp. 237251. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, S. C. Liao, C.Y. Chen and F.H. Hsiao (2001), “Robustness Design of Fuzzy Control for Nonlinear Multiple TimeDelay Largescale Systems via NeuralNetworkBased Approach”, Proceedings of Ninth National Conference on Fuzzy Theory and Its Applications, Taoyuan, pp.726731. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, C.W. Chen and F.H. Hsiao (2001), “Fuzzy Control Design for Nonlinear Interconnected Systems via NeuralNetworkBased Approach”, 第18屆機械學術研討會, Taipei. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, Z. R. Tsai and F.H. Hsiao (2001), “Decentralized Stabilization of Neural Network Systems”, Proceedings of Chinese Automatic Control Conference, Taoyuan , pp.10351042. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, C.W. Chen, C.L. Wu, K.C. Tsao and F.H. Hsiao (2001), “Robustness Design of Fuzzy Control for Nonlinear Interconnected Systems”, Proceedings of the Sixth Conference on Artificial Intelligence and Application (TAAI), Kaohsiung, pp. 376381. 
年度  2001 
類別  研討會 
摘要  
關鍵字  
名稱  J. D. Hwang, S. C. Liao, C. Y. Chen and F.H. Hsiao (2002), “Fuzzy Control for Nonlinear Largescale Systems via NeuralNetworkBased Approach”, Proceedings of Chinese Automatic Control Conference, Tainan, pp. 12531258. 
年度  2002 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao; J.D. Hwang and C.W. Chen (2002), “Fuzzy Controllers Design for NeuralNetwork Interconnected Systems”, Proceedings of the 41st SICE Annual Conference, Japan, pp. 2788 2793. 
年度  2002 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, J.D. Hwang and C.W. Chen (2003), “Fuzzy Control of Chaotic
Systems：Using Dither as Auxiliary”, Proceedings of Shanghai International Symposium on Nonlinear Science and Applications, Shanghai. 
年度  2003 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, J.D. Hwang and C.W. Chen (2004), “Decentralized Fuzzy Control for Nonlinear Multiple Timedelay Largescale Systems”, Proceedings of International Conference on Dynamics, Instrumentation and Control, Nanjing. 
年度  2004 
類別  研討會 
摘要  
關鍵字  
名稱  C.W. Chen, W.L. Chiang, F.H. Hsiao and C.H. Tsai (2004),”H Fuzzy Control of Structural Systems Using TakagiSugeno Fuzzy Model”, Proceedings of IEEE International Conference on Mechatronics, Istanbul. 
年度  2004 
類別  研討會 
摘要  
關鍵字  
名稱  C.W. Chen, W.L. Chiang and F.H. Hsiao (2004),”A Study of PDC Fuzzy Control of Structural Systems Using LMI Approach”, Proceedings of IASTED International Symposium on Artificial Intelligence and Applications, Innsbruck. 
年度  2004 
類別  研討會 
摘要  
關鍵字  
名稱  F. H. Hsiao, Y. W. Liang, S.D. Xu and G. C. Lee (2004), “Decentralized Stabilization of Neural Network Interconnected Systems via TS Fuzzy Control”, Proceedings of National Conference on Fuzzy Theory and Its Application, Yilan, Taiwan. 
年度  2004 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, C.W. Chen, S. D. Xu and W.L. Chiang (2005), “Robustness Design of Fuzzy Controllers for Nonlinear Interconnected Systems”, Proceedings of the 44st SICE Annual Conference, Okayama, pp. 34543459. 
年度  2005 
類別  研討會 
摘要  
關鍵字  
名稱  F.H. Hsiao, S.D. Xu, C.Y. Lin, Y. J. Chou, Y.C. Chen and C.H. Wang (2006), “Decentralized Stabilization of Nonlinear Multiple TimeDelay Interconnected Systems via Hinfinity Fuzzy Control”, IEEE International Conference on Systems, Man, and Cybernetics. 
年度  2006 
類別  研討會 
摘要  
關鍵字  
名稱  錢義隆、蕭鳳翔 (1996), “膜及布製程厚度的均勻控制”, 南亞塑膠公司建教合作案報告書。 
年度  1996 
類別  技術報告 
摘要  
關鍵字  
名稱  錢義隆、蕭鳳翔 (1997), “聚酯纖維製成控制改善研究”, 南亞塑膠公司建教合作案報告書。 
年度  1997 
類別  技術報告 
摘要  
關鍵字  
名稱  蕭鳳翔 (1999), “聚乙烯產物品質控制研究”, 台灣塑膠公司建教合作案報告書 
年度  1999 
類別  技術報告 
摘要  
關鍵字  
名稱  蕭鳳翔 (2001), “聚乙烯重合反應之模式預測及控制研究”, 台灣塑膠公司建教合作案報告書 
年度  2001 
類別  技術報告 
摘要  
關鍵字  