New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay

Fuzzy Sets and Systems

Volumn 161, Issue 15, 2010, Pages 2033-2042

  Liu, Fang ^a,b   Wu, Min ^a   He, Yong ^a   Yokoyama, Ryuichi ^b  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b WASEDA UNIVERSITY   (Japan)

Author keywords

Delay dependent stability; Linear matrix inequalities (LMIs); Lyapunov Krasovskii functional; T S fuzzy systems; Time varying delay

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT STABILITY; FREE-WEIGHTING MATRICES; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; STABILITY PROBLEM; T S FUZZY SYSTEM; TIME-VARYING DELAY; UPPER BOUND;

FREQUENCY SELECTIVE FADING; FUZZY CONTROL; FUZZY SETS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; SWITCHING SYSTEMS; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

STABILITY CRITERIA;

EID: 77955278173     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.12.014     Document Type: Article

References (29)

1. T. Takagi, and M. Sugeno Fuzzy identification of systems and its application to modeling and control IEEE Transactions Systems Man Cybernetics 15 1985 116 132
2. K. Tanaka, and M. Sano A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer IEEE Transactions on Fuzzy Systems 2 1994 119 134
3. B.S. Chen, C.S. Tseng, and H.J. Uang Mixed H 2 / H ∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach IEEE Transactions on Fuzzy Systems 8 2000 249 265
4. H.O. Wang, K. Tanaka, and M.F. Griffin An approach to fuzzy control of nonlinear systems: stability and design issues IEEE Transactions on Fuzzy Systems 4 1996 14 23 (Pubitemid 126782417)
5. M.C. Teixeira, and S.H. Zak Stabilizing controller design for uncertain nonlinear systems using fuzzy models IEEE Transactions on Fuzzy Systems 7 1999 133 144
6. H. Ying The Takagi-Sugeno fuzzy controllers using the simplified linear control rules are nonlinear variable gain controllers Automatica 34 1998 157 167
7. M. Akar, and U. Ozguner Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems IEEE Transactions on Fuzzy Systems 8 2000 691 704
8. Y.Y. Cao, and P.M. Frank Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models Fuzzy Sets and Systems 124 2001 213 229
9. W.J. Chang, W. Chang, Fuzzy control of continuous time-delay affine T-S fuzzy systems, in: Proc. 2004 IEEE Internat. Conf. on Networking, Sensing and Control Taipei, Taiwan, 2004, pp. 618-623.
10. B.C. Ding, H.X. Sun, and P. Yang Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form Automatica 42 2006 503 508
11. E.G. Tian, and C. Peng Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay Fuzzy Sets and Systems 157 2006 544 559
12. X.P. Guan, and C.L. Chen Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays IEEE Transactions on Fuzzy Systems 12 2004 236 249
13. J. Yoneyama Robust control analysis and synthesis for uncertain fuzzy systems with time-delay IEEE International Conference on Fuzzy Systems 1 2003 396 401
14. H.N. Wu, and H.X. Li New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay IEEE Transactions on Fuzzy Systems 15 2007 482 493
15. C. Lin, Q.G. Wang, T.H. Lee, Y. He, and B. Chen Observer-based H ∞ fuzzy control design for T-S fuzzy systems with state delays Automatica 44 2008 868 874
16. X.D. Liu, and Q.L. Zhang New approaches to H ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI Automatica 39 2003 1571 1582
17. Y.B. Luo, Y.Y. Cao, and Y.X. Sun Robust stability of uncertain Takagi-Sugeno fuzzy systems with time-varying input-delay Acta Automatica Sinica 34 2008 87 92
18. B. Chen, X.P. Liu, S.C. Tong, and C. Lin Observer-based stabilization of T-S fuzzy systems with input delay IEEE Transactions on Fuzzy Systems 16 2008 652 663
19. C. Lin, Q.G. Wang, T.H. Lee, and B. Chen H ∞ filter design for nonlinear systems with time-delay through T-S fuzzy model approach IEEE Transactions on Fuzzy Systems 16 2008 739 746
20. Y.S. Moon, P. Park, W.H. Kwon, and Y.S. Lee Delay-dependent robust stabilization of uncertain state-delayed systems International Journal of Control 74 2001 1447 1455
21. C.G. Li, H.J. Wang, and X.F. Liao Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays IEE Proceedings - Control Theory and Applications 151 2004 417 421
22. Y. He, M. Wu, J.H. She, and G.P. Liu Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Systems & Control Letters 51 2004 57 65
23. B. Chen, X.P. Liu, and S.C. Tong New delay-dependent stabilization conditions of T-S systems with constant delay Fuzzy Sets and Systems 158 2007 2209 2224
24. C.H. Lien Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay Chaos, Solitons and Fractals 28 2006 422 427
25. C.H. Lien, K.W. Yu, W.D. Chen, Z.L. Wan, and Y.J. Chung Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay IET Control Theory and Applications 1 2007 746 769
26. S. Boyd, L.E. Ghaoui, and E. Feron Linear Matrix Inequality in System and Control Theory SIAM Studies in Applied Mathematics 1994 SIAM Philadelphia
27. I.R. Petersen, and C.V. Hollot A Riccati equation approach to the stabilization of uncertain linear systems Automatica 22 1986 397 411
28. C. Peng, Y.C. Tian, and E.G. Tian Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay Fuzzy Sets and Systems 159 2008 2713 2729
29. C. Peng, and Y.C. Tian Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay Journal of Computational and Applied Mathematics 214 2008 480 494