Robust stability of uncertain discrete-time singular fuzzy systems

Fuzzy Sets and Systems

Volumn 158, Issue 20, 2007, Pages 2306-2316

  Xu, Shengyuan ^a   Song, Bo ^a   Lu, Junwei ^b   Lam, James ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANJING NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Discrete systems; Linear matrix inequality; Singular systems; Takagi Sugeno fuzzy models; Uncertain systems

Indexed keywords

ALGORITHMS; DYNAMIC MODELS; LINEAR MATRIX INEQUALITIES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

DISCRETE SYSTEMS; PARAMETER UNCERTAINTIES; SINGULAR SYSTEMS; TAKAGI-SUGENO FUZZY MODELS;

FUZZY SYSTEMS;

EID: 34547808834     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.05.008     Document Type: Article

References (25)

1. Boyd S., El Ghaoui L., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics (1994), SIAM, Philadelphia, Pennsylvania
2. ∞ control of uncertain fuzzy continuous-time systems. Fuzzy Sets and Systems 115 (2000) 171-190
3. Dai L. Filtering and LQG problems for discrete-time stochastic singular systems. IEEE Trans. Automat. Control 34 (1989) 1105-1108
4. Dai L. Singular Control Systems (1989), Springer, Berlin
5. Huang C.-P. Stability analysis of discrete singular fuzzy systems. Fuzzy Sets and Systems 151 (2005) 155-165
6. ∞ control for uncertain nonlinear systems via state feedback: an LMI approach. Fuzzy Sets and Systems 120 (2001) 123-134
7. Lewis F.L. A survey of linear singular systems. Circuits Systems Signal Process. 5 (1986) 3-36
8. ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica 39 (2002) 1571-1582
9. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modelling and control. IEEE Trans. Systems Man Cybernet. 15 (1985) 116-132
10. ∞ control theory and linear matrix inequalities. IEEE Trans. Fuzzy Systems 4 (1996) 1-13
11. Tanaka K., and Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45 (1992) 135-156
12. Tanaka K., and Wang H.O. Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach (2001), Wiley, New York
13. Taniguchi T., Tanaka K., and Wang H.O. Fuzzy descriptor systems and nonlinear model following control. IEEE Trans. Fuzzy Systems 8 (2000) 442-452
14. Wang H.O., Tanaka K., and Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. Fuzzy Systems 4 (1996) 14-23
15. Y. Wang, Q.L. Zhang, W.Q. Liu, Stability analysis and design for T-S fuzzy descriptor systems, in: Proceedings of the 40th Conference on Decision Control, Orlando, Florida, 2001, pp. 3962-3967.
16. Wu H.-N., and Cai K.-Y. Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations. Inform. Sci. 177 (2007) 1509-1522
17. ∞ control for uncertain discrete time-delay fuzzy systems via output feedback controllers. IEEE Trans. Fuzzy Systems 13 (2005) 82-93
18. Xu S., and Lam J. Robust Control and Filtering of Singular Systems (2006), Springer, Berlin
19. ∞ control for uncertain fuzzy neutral delay systems. European J. Control 10 (2004) 365-380
20. Xu S., and Yang C. Robust stabilization for generalized state-space systems with uncertainty. Int. J. Control 72 (1999) 1659-1664
21. Xu S., and Yang C. Stabilization of discrete-time singular systems: a matrix inequalities approach. Automatica 35 (1999) 1613-1617
22. Xu S., and Yang C. An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems. Int. J. Systems Sci. 31 (2000) 55-61
23. ∞-control for Takagi-Sugeno fuzzy descriptor systems, in: IEEE Conference on Systems, Man, and Cybernetics, Vol. III, Tokyo, 1999, pp. 28-33.
24. Zhou S., Feng G., and Feng C.-B. Robust control for a class of uncertain nonlinear systems: adaptive fuzzy approach based on backstepping. Fuzzy Sets and Systems 151 (2005) 1-20
25. Zhou S., and Li T. Robust stabilization for delayed discrete-time fuzzy systems via basis-dependent Lyapunov-Krasovskii function. Fuzzy Sets and Systems 151 (2005) 139-153