Robust H∞ control for nonlinear uncertain stochastic TS fuzzy systems with time delays

Applied Mathematics Letters

Volumn 24, Issue 12, 2011, Pages 1986-1994

  Senthilkumar, T ^a   Balasubramaniam, P ^a  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

Author keywords

Linear matrix inequalities (LMIs); Nonlinear disturbance; Robust H control; Stochastic systems; TakagiSugeno (TS) fuzzy systems

Indexed keywords

CONTROL SCHEMES; DELAY-DEPENDENT; LYAPUNOV-KRASOVSKII FUNCTIONALS; NONLINEAR DISTURBANCE; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; ROBUST H; STOCHASTIC DISTURBANCES; STOCHASTIC T-S FUZZY SYSTEM; TAKAGI SUGENO FUZZY SYSTEMS;

FUZZY SYSTEMS; NUMERICAL METHODS; STOCHASTIC SYSTEMS; TIME DELAY; UNCERTAINTY ANALYSIS;

LINEAR MATRIX INEQUALITIES;

EID: 79961169031     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.05.023     Document Type: Article

References (31)

1. T. Takagi, and M. Sugeno Fuzzy identification of systems and its applications to modeling and control IEEE Trans. Syst., Man, Cybern. 15 1985 116 132
2. S.G. Cao, N.W. Rees, and G. Feng Analysis and design of a class of continuous time fuzzy control systems Int. J. Control 64 1996 1069 1087 (Pubitemid 126519438)
3. G. Feng Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions IEEE Trans. Fuzzy Syst. 11 2003 605 612
4. E. Kim, and H. Lee New approaches to relaxed quadratic stability condition of fuzzy control systems IEEE Trans. Fuzzy Syst. 8 2000 523 534
5. H∞ control for TS fuzzy systems Automatica 41 2005 1651 1656 (Pubitemid 41000135)
6. X. Liu, and Q.L. Zhang New approaches to controller designs based on fuzzy observers for TS fuzzy systems via LMI Automatica 39 2003 1571 1582
7. K. Tanaka, T. Ikeda, and H.O. Wang Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs IEEE Trans. Fuzzy Syst. 6 1998 250 265 (Pubitemid 128750059)
8. K. Tanaka, and M. Sugeno Stability analysis and design of fuzzy control systems Fuzzy Sets Syst. 45 1992 135 156
9. H∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions Inform. Sci. 174 2005 197 217 (Pubitemid 40893970)
10. Y.Y. Cao, and P.M. Frank Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach IEEE Trans. Fuzzy Syst. 8 2000 200 211
11. Y.Y. Cao, and P.M. Frank Stability analysis and synthesis of nonlinear time-delay systems via linear TakagiSugeno fuzzy models Fuzzy Sets Syst. 124 2001 213 229 (Pubitemid 32842234)
12. J. Yoneyama New delay-dependent approach to robust stability and stabilization for TakagiSugeno fuzzy time-delay systems Fuzzy Sets Syst. 158 2007 2225 2237 (Pubitemid 47238187)
13. H∞ control for uncertain discrete time-delay fuzzy systems via output feedback controllers IEEE Trans. Fuzzy Syst. 13 2005 82 93 (Pubitemid 40319312)
14. H∞ Control for uncertain TakagiSugeno fuzzy systems with interval time-varying delay IEEE Trans. Fuzzy Syst. 15 2007 321 331 (Pubitemid 46563431)
15. H∞ control for uncertain TakagiSugeno fuzzy systems with time-varying delays and nonlinear perturbations Chaos, Solitons Fractals 39 2009 1426 1439
16. C. Lin, Q.G. Wang, and T.H. Lee Stabilization of uncertain fuzzy time-delay systems via variable structure control approach IEEE Trans. Fuzzy Syst. 13 2005 787 798 (Pubitemid 43065962)
17. Y. Zhao, H. Gao, J. Lam, and B. Du Stability and stabilization of delayed TS fuzzy systems: a delay partitioning approach IEEE Trans. Fuzzy Syst. 17 2009 750 762
18. X-P. Guan, and C-L. Chen Delay-dependent guaranteed cost control for TS fuzzy systems with time delays IEEE Trans. Fuzzy Syst. 12 2004 236 249
19. H∞ control for uncertain stochastic systems with state delay IEEE Trans. Automat. Control 47 2002 2089 2094
20. G. Wei, Z. Wang, H. Shu, and J. Fang Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances Systems Control Lett. 56 2007 623 633 (Pubitemid 47081212)
21. H∞ control of stochastic time-delay jumping systems with nonlinear disturbances Optim. Control Appl. Meth. 27 2006 255 271 (Pubitemid 44662015)
22. H. Gao, J. Lam, and C. Wang Robust energy-to-peak filter design for stochastic time-delay systems Systems Control Lett. 55 2006 101 111 (Pubitemid 41745427)
23. Z. Wang, D.W.C. Ho, and X. Liu A note on the robust stability of uncertain stochastic fuzzy systems with time-delays IEEE Trans. Systems Man Cybern. A 34 2004 570 576
24. B. Zhang, S. Xu, G. Zong, and Y. Zou Delay-dependent stabilization for stochastic fuzzy systems with time delays Fuzzy Sets Syst. 158 2007 2238 2250 (Pubitemid 47238190)
25. L. Hu, and A. Yang Fuzzy model-based control of nonlinear stochastic systems with time-delay Nonlinear Anal.: TMA 71 2009 2855 2865
26. D.W.C. Ho, and Y. Niu Robust fuzzy design for nonlinear uncertain stochastic systems via sliding-mode control IEEE Trans. Fuzzy Syst. 15 2007 350 358 (Pubitemid 46971548)
27. H. Zhang, Y. Wang, and D. Liu Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays IEEE Trans. Syst. Man, Cybern. B, Cybern. 38 2008 126 140 (Pubitemid 351285020)
28. S. Boyd, L.E. Ghauoi, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory 1994 SIAM Philadelphia, PA
29. Y. Wang, L. Xie, and C.E. de Souza Robust control of a class of uncertain nonlinear system Systems Control Lett. 19 1992 139 149 (Pubitemid 23572546)
30. X. Mao Stochastic Differential Equations and Their Applications 1997 Horwood Chichester
31. V.B. Kolmanovskii, and A.D. Myshkis Applied Theory of Functional Differential Equations 1992 Kluwer Dordrecht, The Netherlands