Robust control of Takagi–Sugeno fuzzy systems with state and input time delays

作者: Bing Chen , Xiaoping Liu , Chong Lin , Kefu Liu

DOI: 10.1016/J.FSS.2008.03.024

关键词:

摘要: This paper addresses the robust H"~ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi-Sugeno (T-S) model approach. The are assumed to be interval time-varying delays, no restriction is imposed on derivative of delay. Based Lyapunov-Krasoviskii functional method, delay-dependent sufficient conditions existence an controller proposed in linear matrix inequality (LMI) format. Illustrative examples given show effectiveness merits design methodology.

参考文章(35)
Yong He, Min Wu, Jin-Hua She, Guo-Ping Liu, Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties IEEE Transactions on Automatic Control. ,vol. 49, pp. 828- 832 ,(2004) , 10.1109/TAC.2004.828317
Shu-Guang Cao, N.W. Rees, Gang Feng, Analysis and design of fuzzy control systems using dynamic fuzzy-state space models IEEE Transactions on Fuzzy Systems. ,vol. 7, pp. 192- 200 ,(1999) , 10.1109/91.755400
L. Wang, G. Feng, Piecewise H/sub /spl infin// controller design of discrete time fuzzy systems systems man and cybernetics. ,vol. 34, pp. 682- 686 ,(2004) , 10.1109/TSMCB.2003.809229
Kazuo Tanaka, Hua O. Wang, Fuzzy control systems design and analysis ,(2001)
Gang Feng, Cai-Lian Chen, Dong Sun, Yan Zhu, H/sub /spl infin// controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities IEEE Transactions on Fuzzy Systems. ,vol. 13, pp. 94- 103 ,(2005) , 10.1109/TFUZZ.2004.839662
J.-C. Lo, M.-L. Lin, Observer-based robust H/sub /spl infin// control for fuzzy systems using two-step procedure IEEE Transactions on Fuzzy Systems. ,vol. 12, pp. 350- 359 ,(2004) , 10.1109/TFUZZ.2004.825992
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
Chunguang Li, Houjun Wang, Xiaofeng Liao, Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays IEE Proceedings - Control Theory and Applications. ,vol. 151, pp. 417- 421 ,(2004) , 10.1049/IP-CTA:20040641