An improved result on the stability of uncertain T-S fuzzy systems with interval time-varying delay

Fuzzy Sets and Systems

Volumn 212, Issue , 2013, Pages 97-109

  Peng, Chen ^a,b   Fei, Min Rui ^b  

^a NANJING NORMAL UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Delay partitioning; Fuzzy system models; Interval time varying delay; Linear matrix inequalities (LMIs)

Indexed keywords

CONVEX COMBINATIONS; DELAY-DEPENDENT; DELAY-PARTITIONING; FREE-WEIGHTING MATRICES; FUZZY SYSTEM MODELS; INTERVAL TIME-VARYING DELAYS; LINEAR MATRIX INEQUALITY (LMIS); LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; T S FUZZY SYSTEM; TIME VARYING;

FUZZY SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STABILITY CRITERIA;

TIME VARYING CONTROL SYSTEMS;

EID: 84868532539     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2012.06.009     Document Type: Article

References (24)

1. H.K. Lam, and M. Narimani Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching IEEE Trans. Fuzzy Syst. 17 4 2009 949 961
2. 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 Trans. Fuzzy Syst. 15 October 2007 482 493
3. ∞ fuzzy control design of discrete-time nonlinear active fault-tolerant control systems Int. J. Robust Nonlinear Control 19 2009 1129 1149
4. C. Peng, and T.C. Yang Communication delay distribution dependent networked control for a class of T-S fuzzy system IEEE Trans. Fuzzy Syst. 18 April 2010 326 335
5. J. Yoneyama Robust stability and stabilization for uncertain Takagi-Sugeno fuzzy time-delay systems Fuzzy Sets Syst. 158 2007 115 134
6. C. Lien, K. Yu, W. Chen, Z. Wan, and Y. Chung Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay IET Control Theory Appl. 1 3 2007 764 769
7. ∞ control for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay IEEE Trans. Fuzzy Syst. 15 April 2007 321 331
8. H.K. Lam, and F.H.F. Leung Sampled-data fuzzy controller for time-delay nonlinear systems: fuzzy-based LMI approach IEEE Trans. Syst. Man Cybern. - Part B: Cybern. 37 June 2007 617 629
9. F. Gouaisbaut, D. Peaucelle, Delay-dependent stability analysis of linear time delay systems, in: IFAC Workshop on Time Delay Systems, 2006.
10. Y. He, M. Wu, and G.P. Liu Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Trans. Autom. Control 49 2004 828 832
11. ∞ control for uncertain T-S fuzzy systems with interval time-varying delay IEEE Trans. Fuzzy Syst. 17 August 2009 890 900
12. ∞ control for nonlinear system over network: a piecewise analysis method Fuzzy Sets Syst. 161 November 2010 2731 2745
13. S. Jeeva Sathya Theesar, P. Balasubramaniam, Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay, in: 2010 IEEE International Conference on Communication Control and Computing Technologies (ICCCCT), pp. 707-712.
14. X. Zhang, and Q.-L. Han A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays Int. J. Robust Nonlinear Control 19 17 2009 1922 1930
15. X. Meng, J. Lam, B. Du, and H. Gao A delay-partitioning approach to the stability analysis of discrete-time systems Automatica 46 3 2010 610 614
16. Q.-L. Han A discrete delay decomposition approach to stability of linear retarded and neutral systems Automatica 45 2 2009 517 524
17. P. Park, and J. Wan Ko Stability and robust stability for systems with a time-varying delay Automatica 43 October 2007 1855 1858
18. K. Gu, V.L. Kharitonov, J. Chen, Stability of time-delay systems, Birkhauser, 2003.
19. E.G. Tian, and C. Peng Delay dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay Fuzzy Sets Syst. 157 4 2006 544 559
20. ∞ control of networked control systems Eur. J. Control 15 5 2009 523 533
21. P. Park, J. Ko, and C. Jeong Reciprocally convex approach to stability of systems with time-varying delays Automatica 47 January 2011
22. ∞ control for T-S fuzzy systems with time-delay and uncertainties Fuzzy Sets Syst. 179 September 2011 20 23
23. C. Peng, and Q.-L. Han Delay-range-dependent robust stabilization for uncertain T-S fuzzy systems with interval time-varying delay Inf. Sci. 181 October 2011 4287 4299
24. ∞ control for uncertain fuzzy systems with time-varying delays Nonlinear Anal. 68 2008 1352 1361