H∞ and mixed H2/H∞ control of discrete-time T--S fuzzy systems with local nonlinear models
作者： Jiuxiang Dong , Youyi Wang , Guang-Hong Yang
DOI: 10.1016/J.FSS.2010.09.014
关键词: Fuzzy control system 、 Contrast (statistics) 、 Fuzzy number 、 Nonlinear system 、 Mathematics 、 Type (model theory) 、 Set (abstract data type) 、 Discrete time and continuous time 、 Control theory 、 Fuzzy logic
摘要: Abstract: This paper addresses the H"~ and mixed H"2/H"~ control synthesis problems of nonlinear discrete-time systems, which are represented by a new type T-S fuzzy models. The systems consist local models with fewer rules than conventional linear A scheme feedbacks is proposed conditions given in terms solutions to set matrix inequalities (LMIs). In contrast existing for designing controllers, ones can be used design controllers based on as well less computational burden. particular, methods also give conservative results. numerical example illustrate effectiveness methods.
elsevier.com
sci-hub.se 参考文章(40)
Ewa Pawłuszewicz, Zbigniew Bartosiewicz, Euler’s discretization and dynamic equivalence of nonlinear control systems Springer, London. pp. 183- 191 ,(2001) , 10.1007/BFB0110301
Kazuo Tanaka, Hua O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach ,(2008)
Ji-Chang Lo, Min-Long Lin, Robust H/sub /spl infin// nonlinear control via fuzzy static output feedback IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 50, pp. 1494- 1502 ,(2003) , 10.1109/TCSI.2003.818623
Doo Jin Choi, PooGyeon Park, H/sub /spl infin// state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions IEEE Transactions on Fuzzy Systems. ,vol. 11, pp. 271- 278 ,(2003) , 10.1109/TFUZZ.2003.809903
G. Feng, H/sub /spl infin// controller design of fuzzy dynamic systems based on piecewise Lyapunov functions systems man and cybernetics. ,vol. 34, pp. 283- 292 ,(2004) , 10.1109/TSMCB.2003.811500
Shaosheng Zhou, Gang Feng, James Lam, Shengyuan Xu, Robust H ∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions Information Sciences. ,vol. 174, pp. 197- 217 ,(2005) , 10.1016/J.INS.2004.07.015
Huai-Ning Wu, Hong-Yue Zhang, Reliable mixed L2/H∞ fuzzy static output feedback control for nonlinear systems with sensor faults Automatica. ,vol. 41, pp. 1925- 1932 ,(2005) , 10.1016/J.AUTOMATICA.2005.05.006
Antonio Sala, Carlos Ariño, Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem Fuzzy Sets and Systems. ,vol. 158, pp. 2671- 2686 ,(2007) , 10.1016/J.FSS.2007.06.016
Thierry Marie Guerra, Laurent Vermeiren, LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form Automatica. ,vol. 40, pp. 823- 829 ,(2004) , 10.1016/J.AUTOMATICA.2003.12.014
Shengyuan Xu, J. Lam, Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers IEEE Transactions on Fuzzy Systems. ,vol. 13, pp. 82- 93 ,(2005) , 10.1109/TFUZZ.2004.839661