A new approach to robust and non-fragile H∞ control for uncertain fuzzy systems

Information Sciences

Volumn 177, Issue 22, 2007, Pages 5118-5133

  Zhang, Baoyong ^a   Zhou, Shaosheng ^b   Li, Tao ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HANGZHOU DIANZI UNIVERSITY   (China)

^c SOUTHEAST UNIVERSITY   (China)

Author keywords

Linear matrix inequality (LMI); Non fragile control; Robust H control; Takagi Sugeno (T S) fuzzy systems; Uncertain systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FUZZY CONTROL; FUZZY SYSTEMS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; PARAMETER ESTIMATION; UNCERTAINTY ANALYSIS;

FUZZY CONTROLLERS; LINEAR FRACTIONAL PARAMETRIC UNCERTAINTIES;

ROBUST CONTROL;

EID: 34548277417     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.05.004     Document Type: Article

References (25)

1. ∞ control of discrete-time fuzzy systems: a cone complementarity linearization approach. Informat. Sci. 175 (2005) 57-77
2. ∞ fuzzy control system design with T-S framework. Informat. Sci. 123 (2000) 163-179
3. Keel L.H., and Bhattacharyya S.P. Robust, fragile, or optimal. IEEE Trans. Automat. Contr. 42 8 (1997) 1098-1105
4. Kim E., and Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Trans. Fuzzy Syst. 8 5 (2000) 523-534
5. ∞ control of parameter uncertain time-varying delay systems, in: Proceedings of the 38th SICE Annual Conference, Morioka, Japan, 1999, pp. 927-932.
6. Lee H.J., Park J.B., and Chen G. Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Trans. Fuzzy Syst. 9 2 (2001) 369-379
7. ∞ control for uncertain nonlinear systems via state feedback: an LMI approach. Fuzzy Sets Syst. 120 (2001) 123-134
8. Li N., Li S.Y., and Xi Y.G. Multi-model predictive control based on the Takagi-Sugeno fuzzy models: a case study. Informat. Sci. 165 (2004) 247-263
9. Liu X., and Zhang Q.L. New approaches to controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica 39 (2003) 1571-1582
10. ∞ control of fuzzy dynamic systems. Fuzzy Sets Syst. 137 (2003) 367-386
11. ∞ fuzzy output feedback control design for nonlinear systems: an LMI approach. IEEE Trans. Fuzzy Syst. 11 3 (2003) 331-340
12. ∞ output feedback control design for fuzzy dynamic systems with quadratic D stability constraints: an LMI approach. Informat. Sci. 176 (2006) 2161-2191
13. Park C.W. LMI-based robust stability analysis for fuzzy feedback linearization regulators with its applications. Informat. Sci. 152 (2003) 287-301
14. Takagi T., and Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Syst. Man Cybern. 15 1 (1985) 116-132
15. Tanaka K., and Sugeno M. Stability analysis and design of fuzzy control system. Fuzzy Sets Syst. 45 (1992) 135-156
16. ∞ control theory, and linear matrix inequalities. IEEE Trans. Fuzzy Syst. 4 1 (1996) 1-13
17. Tanaka K., Ikeda T., and Wang H.O. Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs. IEEE Trans. Fuzzy Syst. 6 2 (1998) 250-265
18. Ting C.S. Stability analysis and design of Takagi-Sugeno fuzzy systems. Informat. Sci. 176 (2006) 2817-2845
19. Wang H.O., Tanaka K., and Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. Fuzzy Syst. 4 2 (1996) 14-23
20. ∞ control of systems with parameter uncertainty. Int. J. Control 63 4 (1996) 741-750
21. Xu S., Lam J., Wang J.L., and Yang G.H. Non-fragile positive real control for uncertain linear neutral delay systems. Syst. Control Lett. 52 (2004) 59-74
22. ∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers. IEEE Trans. Fuzzy Syst. 13 1 (2005) 82-93
23. ∞ output feedback controller design for linear systems. J. Dynam. Syst. Measure. Contr. 125 (2003) 117-123
24. ∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions. Informat. Sci. 174 (2005) 197-217
25. ∞ performance conditions. IEEE Trans. Fuzzy Syst. 15 2 (2007) 188-199