Extensions to "Stability analysis of fuzzy control systems subject to uncertain grades of membership"

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 38, Issue 2, 2008, Pages 558-563

  Ariño, Carlos ^a   Sala, Antonio ^b  

^a UNIVERSITAT JAUME I   (Spain)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Fuzzy control; Linear matrix inequalities (LMIs); Parallel distributed compensation (PDC); Quadratic stability; Relaxed condition; Takagi sugeno (TS) fuzzy systems

Indexed keywords

CONTROL SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS;

FUZZY CONTROL SYSTEMS; PARALLEL DISTRIBUTED COMPENSATION (PDC); QUADRATIC STABILITY; TAKAGI-SUGENO (TS) FUZZY SYSTEMS;

FUZZY SYSTEMS;

ALGORITHM; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEEDBACK SYSTEM; FUZZY LOGIC; NOTE; STATISTICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEEDBACK; FUZZY LOGIC; MODELS, STATISTICAL;

EID: 41649087158     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2007.913596     Document Type: Article

References (17)

1. H. K. Lam and F. H. F. Leung, "Stability analysis of fuzzy control systems subject to uncertain grades of membership," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, no. 6, pp. 1322-1325, Dec. 2005.
2. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modelling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Feb. 1985.
3. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis New York: Wiley, 2001.
4. X. Liu and Q. Zhang, "New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI," Automatica, vol. 39, no. 9, pp. 1571-1582, Sep. 2003.
5. F. H. Hsiao, J. D. Hwang, C. W. Chen, and Z. R. Tsai, "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 152-163, Feb. 2005.
6. T. M. Guerra, A. Kruszewski, L. Vermeiren, and H. Tirmant, "Conditions of output stabilization for nonlinear models in the Takagi-Sugeno's form," Fuzzy Sets Syst., vol. 157, no. 9, pp. 1248-1259, May 2006.
7. 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, no. 4, pp. 2671-2686, Dec. 2007.
8. J. Bondia, A. Sala, J. Picó, and M. A. Sainz, "Controller design under fuzzy pole-placement specifications: An interval arithmetic approach," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 822-836, Dec. 2006.
9. A. Sala, T. M. Guerra, and R. Babuska, "Perspectives of fuzzy systems and control," Fuzzy Sets Syst., vol. 156, no. 3, pp. 432-444, Dec. 2005.
10. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006.
11. H. K. Lam and F. H. F. Leung, "Fuzzy controller with stability and performance rules for nonlinear systems," Fuzzy Sets Syst., vol. 158, no. 2, pp. 147-163, Jan. 2007.
12. 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.
13. A. Sala and C. Ariño, "Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 3, pp. 727-732, Jun. 2007.
14. C. Ariño and A. Sala, "Relaxed LMI conditions for closed loop fuzzy systems with tensor product structure," Eng. Appl. Artif. Intell. vol. 20, no. 8, pp. 1036-1046, 2007.
15. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
16. 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.
17. 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, Oct. 2000.