Robust H∞ control for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay

IEEE Transactions on Fuzzy Systems

Volumn 15, Issue 2, 2007, Pages 321-331

  Jiang, Xiefu ^a   Han, Qing Long ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

H control; Interval time varying delay; Linear matrix inequality (LMI); Takagi Sugeno (T S) fuzzy systems; Uncertainty

Indexed keywords

FUZZY SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUST CONTROL; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

INTERVAL TIME-VARYING DELAY; TAKAGI-SUGENO (T-S) MODEL;

OPTIMAL CONTROL SYSTEMS;

EID: 34147166473     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.878251     Document Type: Article

References (22)

1. Y. Y. Cao and P. M. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 2, pp. 200-211, Apr. 2000.
2. B.-S. Chen, C.-S. Tseng, and H.-J. Uang, "Robustness design of nonlinear dynamic systems via fuzzy linear control," IEEE Trans. Fuzzy Syst., vol. 7, no. 5, pp. 571-585, Sep. 1999.
3. M. Y. Chow and Y. Tipsuwan, "Network-based control systems: A tutorial," in Proc. IECON'01: 27th Annu. Conf. IEEE Ind. Electron. Soc., 2001, pp. 1593-1602.
4. X.-P. Guan and C.-L. Chen, "Delay-dependent guaranteed cost control for T-S fuzzy systems with time-delays," IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 236-249, Apr. 2004.
5. K. Gu, "Partial solution of LMI in stability problem of time-delay systems," in Proc. IEEE Conf. Decision Contr., 1999, pp. 227-232.
6. K. Gu, Discretization schemes for Lyapunov-Krasovskii functions in time-delay systems," Kybernetica, vol. 37, no. 4, pp. 479-504, 2001.
7. K. Gu, Q.-L. Han, A. C. J. Luo, and S.-I. Niculescu, "Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficient," Int. J. Control, vol. 74, no. 7, pp. 737-744, May 2001.
8. J. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equations. New York: Springer-Verlag, 1993.
9. Q.-L. Han and K. Gu, "Stability of linear systems with time-varying delay: A generalized discretized Lyapunov functional approach," Asian J. Control, vol. 3, no. 3,pp. 170-180, Sept. 2001.
10. Q.-L. Han, "New results for delay-dependent stability of linear systems with time-varying delay," Int. J. Syst. Sci., vol. 33, no. 3, pp. 213-228, Feb. 2002.
11. Q.-L. Han, "Robust stability of uncertain delay-differential systems of neutral type," Automatica, vol. 40, no. 4, pp. 1087-1092, Apr. 2002.
12. Q.-L. Han, "On stability of linear neutral systems with mixed time-delays: A discretized Lyapunov functional approach," Automatica vol. 41, no. 7, pp. 1209-1218, Jul. 2005.
13. Y. He, M. Wu, J. H. She, and G. P. Liu, "Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays," Syst. Control Lett., vol. 51, no. 1, pp. 57-65, Jan. 2004.
14. ∞ control for discrete-time Takagi-Sugeno fuzzy systems," Int. J. Syst. Sci., vol. 33, no. 14, pp. 1099-1107, Dec. 2002
15. ∞ control of uncertain fuzzy dynamic systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 657-664, Dec. 2000.
16. ∞ control for uncertain nonlinear systems with time delays,"in Proc. Amer. Contr. Conf., San Diego, CA, 2000, pp. 1269-1273.
17. X. Li and C. E. de Souza, "Criteria for robust stability and stabilization of uncertain linear systems with time delays," Automatica, vol. 33, no. 9, pp. 1657-1662, Sept. 1997.
18. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst. Man Cyber. vol. 15, no. 1, pp. 116-132, Jan./Feb. 1985.
19. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis New York: Wiley, 2001.
20. H. O. Wang, K. Tanaka, and M. Griffin, "Parallel distributed compensation of nonlinear systems by takagi and sugeno fuzzy model," in Proc. Int. Conf. Fuzzy Syst., 1995, pp. 531-538.
21. H. O. Wang, K. Tanaka, and M. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, Feb. 1996.
22. D. Yue, Q.-L. Han, and C. Peng, "State feedback controller design of networked control systems" IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. 11, pp. 640-644, Nov. 2004.