New robust stability conditions and design of robust stabilizing controllers for takagi-sugeno fuzzy time-delay systems

IEEE Transactions on Fuzzy Systems

Volumn 15, Issue 5, 2007, Pages 828-839

  Yoneyama, Jun ^a  

^a AOYAMA GAKUIN UNIVERSITY   (Japan)

Author keywords

Delay effects; Fuzzy systems; Robustness; Stability; Uncertain systems

Indexed keywords

CLOSED LOOP SYSTEMS; FEEDBACK CONTROL; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY; TIME DELAY; UNCERTAIN SYSTEMS;

AUXILIARY SYSTEM; FUZZY TIME-DELAY SYSTEMS; ROBUST STABILIZING CONTROLLERS;

FUZZY SYSTEMS;

EID: 35348856915     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.889922     Document Type: Article

References (25)

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. Chen and X. Liu, "Delay-dependent robust H∞ control for T-S fuzzy systems with time delay," IEEE Trans. Fuzzy Syst., vol. 13, no. 4, pp. 544-556, Apr. 2005.
3. K. Gu and S.-I. Niculescu, "Further remarks on additional dynamics in various model transformations of linear delay systems," IEEE Trans. Autom. Control, vol. 46, no. 3, pp. 497-500, Mar. 2001.
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. V. B. Kolmanovskii and J.-P. Richard, "Stability of some linear systems with delays," IEEE Trans. Autom. Control, vol. 44, no. 5, pp. 984-989, May 1999.
6. K. R. Lee, J. H. Kim, E. T. Jeung, and H. B. Park, "Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 657-664, Dec. 2000.
7. X. Li and C. E. de Souza, "Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 1144-1148, Aug. 1997.
8. M. S. Mahmoud, Robust Control and Filtering for Time-Delay Systems New York: Marcel Dekker, 2000.
9. M. S. Mahmoud and N. F. Al Muthairi, "Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties," IEEE Trans. Autom. Control, vol. 39, no. 10, pp. 2135-2139, Oct. 1994.
10. Y. S. Moon, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Control, vol. 74, pp. 1447-1455, 2001.
11. P. G. Park, "A delay-dependent stability criterion for systems with uncertain time-invariant delays," IEEE Trans. Autom. Control, vol. 44, no. 4, pp. 876-877, Apr. 1999.
12. S. Phoojaruenchanachai and K. Furuta, "Memoryless stabilization of uncertain linear systems including time-varying state delays," IEEE Trans. Autom. Control, vol. 37, no. 7, pp. 1022-1026, Jul. 1992.
13. J. C. Shen, B.-S. Chen, and F.-C. Kung, "Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach," IEEE Trans. Autom. Control, vol. 36, no. 5, pp. 638-640, May 1991.
14. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan. 1985.
15. K. Tanaka, T. Ikeda, and H. O. Wang, "Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 1-13, Feb. 1996.
16. K. Tanaka and M. Sano, "A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer," IEEE Trans. Fuzzy Syst., vol. 2, no. 1, pp. 119-134, Feb. 1994.
17. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
18. M. C. M. Teixeira, E. Assuncao, and R. G. Avellar, "On relaxed LMI-based design for fuzzy regulators and fuzzy observers," IEEE Trans. Fuzzy Syst., vol. 11, no. 5, pp. 613-623, Oct. 2003.
19. M. C. M. Teixeira, M. F. R. Catharino, E. Assuncao, and E. R. M. Daruichi, "A comparison study between two relaxed LMI-based fuzzy control designs," in Proc. IEEE Int. Conf. Fuzzy Syst., 2005, pp. 969-972.
20. C.-L. Tseng, J.-Y. Ko, J.-A. Jiang, and J.-S. Wang, "Guaranteed cost control for uncertain TS fuzzy systems with time delay," in Proc. IEEE Int. Conf. Syst., Man, Cybern., 2004, pp. 2260-2265.
21. H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in Fuzzy control system design," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 324-332, Apr. 2001.
22. J. Yoneyama, "Output stabilization of fuzzy time-delay systems," in Proc. Asian Fuzzy Syst. Symp., Tsukuba, Japan, Jun. 2000, pp. 1057-1061.
23. J. Yoneyama, "Robust control analysis and synthesis for uncertain fuzzy systems with time-delay," in Proc. IEEE Int. Conf. Fuzzy Syst., St. Louis, MO, May 2003, pp. 396-401.
24. J. Yoneyama, "Stability and stabilization of fuzzy time-delay systems," in Proc. 5th Asian Control Conf., Melbourne, Australia, Jul. 2004, pp. 1518-1525.
25. J. Yoneyama, "Generalized stability conditions for Takagi-Sugeno fuzzy time-delay systems," in Proc. IEEE Int. Conf. Intell. Syst., Singapore, Dec. 2004, pp. 491-496.