Robust Hinfin fuzzy output feedback control for uncertain discrete-time nonlinear systems

International Journal of Fuzzy Systems

Volumn 12, Issue 3, 2010, Pages 218-226

  Wang, Li Kui ^a   Liu, Xiao Dong ^b  

^a NANCHANG HANGKONG UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Linear matrix inequality; Nonquadratic lyapunov function; State observer; Takagi Sugeno's fuzzy model

Indexed keywords

CONVEX OPTIMIZATION; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; FUZZY CONTROL; LYAPUNOV FUNCTIONS; MEMBERSHIP FUNCTIONS; NONLINEAR SYSTEMS; ROBUST CONTROL;

DISCRETE-TIME NONLINEAR SYSTEMS; FUZZY OUTPUT-FEEDBACK; LINEAR MATRIX IN EQUALITIES; MATRIX; NON-QUADRATIC LYAPUNOV FUNCTIONS; OUTPUT FEEDBACK CONTROLS; PARALLEL DISTRIBUTED COMPENSATION; ROBUST H; STATES OBSERVER; TAKAGI SUGENO FUZZY MODELS;

LINEAR MATRIX INEQUALITIES;

EID: 77957828233     PISSN: 15622479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern. B, Cybern, vol.15, no.1, pp. 116-132, 1985.
2. M. Sugeno and G. T. Kang, "Structure identification of fuzzy model," Fuzzy Sets Syst., vol.28, no.1, pp. 15-33, 1988.
3. ∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol.4, no.1, pp. 1-13, 1996.
4. W. Y. Wang, Y. H. Chien, Y. G. Leu, and T. T. Lee, "On-line adaptive T-S fuzzy-neural control for a Class of general multi-link robot manipulators," International Journal of Fuzzy Systems, vol.10, no.4, pp. 240-249, 2008.
5. E. Kim and H. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems," IEEE Trans. Fuzzy Syst, vol.8, no.5, pp. 523-534, 2000.
6. ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI," Automatica, vol.39, pp. 1571-1582, no.9, 2003.
7. ∞ control designs for T-S fuzzy systems," IEEE Trans. Fuzzy Syst, vol.11, no.6, pp. 830-839, 2003.
8. C. H. Fang, Y. S. Liu, S. W. Kau, L. Hong, and C. H. Lee, "A new LMI-Based approach to relaxed quadratic stabilization of T-S fuzzy control systems," IEEE Trans. Fuzzy Syst., vol.14, no.3, pp. 386-397, 2006.
9. L. K. Wang and X. D. Liu, "Comments on 'Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi- Sugeno's form," Automatica, vol.44, no.11, pp. 2992-2993, 2008.
10. ∞ controller design of discrete time fuzzy systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol.34, no.1, pp. 682-686, 2004.
11. W. J. Wang and C. H. Sun, "Relaxed stability and stabilization conditions for a TS fuzzy discrete system," Fuzzy Sets Syst., vol.156, no.2, pp. 208-225, 2005.
12. W. J. Wang and C. H. Sun, "A relaxed criterion for T-S fuzzy discrete systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol.34, no.5, pp. 2155-2158, 2004.
13. L. K. Wang and X. D. Liu, "New relaxed stabilization conditions for fuzzy control systems," International Journal of Innovative Computing, Information and Control, vol.5, no.5, pp. 1451-1460, 2009.
14. W. J. Wang, Y. J. Chen, and C. H. Sun, "Relaxed stabilization criteria for discrete-time T-S fuzzy control systems based on a switching fuzzy model and piecewise Lyapunov function," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol.37, no.3, pp. 551-559, 2007.
15. ∞ performance conditions," IEEE Trans. Fuzzy Syst., vol.15, no.2, pp. 188-199, 2007.
16. T. M. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form," Automatica, vol.40, no.5, pp. 823-829, 2004.
17. 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, vol.42, no.3, pp. 503-508, 2006.
18. B. C. Ding and B. Huang, "Reformulation of LMI-based stabilization conditions for non-linear systems in Takagi-Sugeno's form," International Journal of Systems Science, vol.39, no.5, pp. 487-496, 2008.
19. ∞ control for discrete fuzzy systems via basis-dependent Lyapunov functions," Inf. Sci, vol.174, no.3-4, pp. 197-217, 2005.
20. ∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers," IEEE Trans. Fuzzy Syst., vol.13, no.1, pp. 82-93, 2005.
21. G. R. Yu and C. S. You, "Nonlinear robust control of fuzzy time-delay systems," International Journal of Fuzzy Systems, vol.11, no.1, pp. 29-35, 2009.
22. J. S. Chiou, C. J. Wang, C. M. Cheng, and C. C. Wang, "Stability analysis and controller design of the nonlinear switched systems via T-S discrete-time fuzzy model," International Journal of Fuzzy Systems, vol.11, no.4, pp. 213-224, 2009.
23. 2 fuzzy output feedback control for discrete-time nonlinear systems with parametric uncertainties," Int. J. Approx. Reason., vol.46, no.1, pp. 151-165, 2007.
24. ∞ control for fuzzy systems using two-step procedure," IEEE Trans. Fuzzy Syst., vol.12, no.3, pp. 350-359, 2004.
25. ∞ control of uncertain linear state-delayed systems," Automatica, vol.35, no.7, pp. 1313-1321, 1999.
26. A. Sala and C. Ariño, "Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem," Fuzzy Sets Syst., vol.158, pp. 2671-2686, 2007.
27. S. Kawamoto, "Nonlinear control and rigorous stability analysis based on fuzzy system for inverted pendulum," Proc. FUZZ-IEEE, vol.2, pp. 1427-1432, 1996.