Stability and stabilization of fuzzy large-scale systems

IEEE Transactions on Fuzzy Systems

Volumn 12, Issue 3, 2004, Pages 309-315

  Wang, Wen June ^a   Luoh, Leh ^b  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b CHUNG SHAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy control; Large scale system; Lyapunov criterion; Takagi Sugeno (T S) fuzzy model

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; DECENTRALIZED CONTROL; FEEDBACK CONTROL; LARGE SCALE SYSTEMS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; RICCATI EQUATIONS; STATE FEEDBACK;

FUZZY LARGE-SCALE SYSTEMS; LINEAR STATE FEEDBACK CONTROL; TAKAGI-SUGENO FUZZY MODEL;

FUZZY CONTROL;

EID: 3042648797     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2004.825975     Document Type: Article

References (24)

1. J. J. Buckley, "Universal fuzzy controllers," Automatica, vol. 28, pp. 1245-1248, 1992.
2. S. Boyd et al., Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
3. B. S. Chen and W. J. Wang, "Robust stabilization of nonlinearly perturbed large-scale systems by decentralized observer-controller compensators," Automatica, vol. 26, pp. 1035-1041, 1990.
4. E. J. Davison, "The decentralized stabilization and control of unknown nonlinear time varying systems," Automatica, vol. 10, pp. 309-316, 1974.
5. L. T. Grujic and D. D. Siljak, "Asymptotic stability and instability of large scale systems," IEEE Trans. Automat. Contr., vol. AC-18, pp. 636-645, June 1973.
6. M. Ikeda and D. D. Siljak, "Decentralized stabilization of linear time-varying systems," IEEE Trans. Automat. Contr., vol. AC-25, pp. 106-107, Jan. 1980.
7. M. Jamshidi, Large-Scale System Modeling and Control. New York: Elsevier, 1983.
8. K. Kiriakidis, "Nonlinear control system design via fuzzy modeling and LMIs," Int. J. Control, vol. 72, no. 7/8, pp. 676-685, 1999.
9. H. K. Lam, F. H. F. Leung, and P. K. S. Tam, "On fuzzy control of nonlinear systems with large parameter uncertainty: fuzzy scheduler approach," in Proc. IEEE Conf. Fuzzy Systems, pp. 364-368.
10. M. S. Mahmoud, "Multilevel systems control and application: a survey," IEEE Trans. Syst., Man, Cybern., vol. SMC-7, pp. 125-143, Jan. 1977.
11. E. H. Mamdani and S. Assilian, "Applications of fuzzy algorithms for control of simple dynamic plant," Proc. Inst. Elect. Eng., pt. D, vol. 121, pp. 1585-1588, 1974.
12. A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale System. New York: Academic, 1977.
13. M. E. Sezer and O. Huseyin, "Stabilization of linear time-invariant interconnected systems using local state feedback," IEEE Trans. Syst., Man, Cybern., vol. SMC-8, pp. 751-756, Aug. 1978.
14. W. E. Thompson, "Exponential stability of interconnected systems," IEEE Trans. Automat. Contr., vol. AC-15, pp. 504-506, May 1970.
15. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, pp. 116-132, Jan. 1985.
16. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
17. ∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, pp. 1-13, Feb. 1996.
18. ____, "Fuzzy regulator and fuzzy observers: relaxed stability conditions and LMI-based designs," IEEE Trans. Fuzzy Syst., vol. 6, pp. 250-265, Apr. 1998.
19. H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear system: stability and design issues," IEEE Trans. Fuzzy Syst., vol. 4, pp. 14-23, Feb. 1996.
20. L. X. Wang, A Course in Fuzzy Systems and Control. Upper Saddle River, NJ: Prentice-Hall, 1997.
21. ____, "Fuzzy systems are universal approximators," in Proc. IEEE Int. Conf. Fuzzy Systems, San Diego, CA, 1992, pp. 1163-1170.
22. W.-J. Wang and C. F. Cheng, "Robustness of perturbed large-scale systems with local constant state feedback," Int. J. Control, vol. 50, no. 1, pp. 373-384, 1989.
23. W.-J. Wang and L. G. Mau, "Stabilization and estimation for perturbed discrete time-delay large-scale systems," IEEE Trans. Automat. Contr., vol. 42, pp. 1277-1282, Aug. 1997.
24. L. K. Wong, F. H. Leung, and P. K. S. Tam, "Lyapunov-function-based design of fuzzy logic controllers and its application on combining controllers," IEEE Trans. Ind. Electron., vol. 45, pp. 502-512, June 1998.