An approach to fuzzy control of nonlinear systems: Stability and design issues

IEEE Transactions on Fuzzy Systems

Volumn 4, Issue 1, 1996, Pages 14-23

  Wang, Hua O ^a,b   Tanaka, Kazuo ^a,c   Griffin, Michael F ^a,b  

^a IEEE

^b UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^c KANAZAWA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; FUZZY SETS; LINEARIZATION; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PENDULUMS; STATE SPACE METHODS; SYSTEM STABILITY;

CONVEX PROGRAMMING TECHNIQUES; LINEAR MATRIX INEQUALITY; PARALLEL DISTRIBUTED COMPENSATION; TAKAGI-SUGENO FUZZY MODELS;

FUZZY CONTROL;

EID: 0030082891     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/91.481841     Document Type: Article

References (19)

1. K. Tanaka and M. Sugeno, "Stability analysis of fuzzy systems using Lyapunov's direct method," in Proc. NAFIPS '90, 1990, pp. 133-136.
2. _, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, 1992.
3. R. Langari and M. Tomizuka, "Analysis and synthesis of fuzzy linguistic control systems," in Proc. 1990 ASME Winter Ann. Meet., 1990, pp. 35-42.
4. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
5. G. Chen and H. Ying, "On the stability of fuzzy control systems," in Proc. 3rd IFIS, Houston, TX, 1993.
6. S. S. Farinwata and G. Vachtsevanos, "Stability analysis of the fuzzy logic controller," in Proc. IEEE Conf. Decision Contr., San Antonio, TX, 1993.
7. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, pp. 116-132, 1985.
8. 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 Irans. Fuzzy Syst., vol. 2, no. 2, pp. 119-134, 1994.
9. K. Tanaka, A Theory of Advanced Fuzzy Control. Tokyo, Japan: Kyouritsu Pub., 1994 (in Japanese).
10. S. Kawamoto et al., "An approach to stability analysis of second order fuzzy systems," in Proc. Fuzz IEEE '92, pp. 1427-1434, 1992.
11. H. O. Wang, K. Tanaka, and M. F. Griffin, "Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model," Proc. Fuzz IEEE/IFES '95, pp. 531-538, 1995.
12. _, "An analytical framework of fuzzy modeling and control of nonlinear systems: Stability and design issues," in Proc. 1995 Amer. Contr. Conf., pp. 2272-2276, Seattle, WA, 1995.
13. M. Sugeno and G. T. Kang, "Fuzzy modeling and control of multilayer incinerator," Fuzzy Sets Syst., vol. 18, pp. 329-346, 1986.
14. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, New Jersey: Prentice-Hall, 1991.
15. S. Boyd et al., "Linear matrix inequalities in systems and control theory," SIAM. Philadelphia, PA, 1994.
16. Y. Nesterov and A. Nemirovsky, "Interior-point polynomial methods in convex programming," SIAM. Philadelphia, PA, 1994.
17. W. T. Baumann and W. J. Rugh, "Feedback control of nonlinear systems by extended linearization," IEEE Trans. Automat. Contr., vol. AC-31, no. 1, pp. 40-46, 1986.
18. R. H. Cannon, Dynamics of Physical Systems. New York: McGraw-Hill, 1967.
19. H. E. Nusse and J. A. Yorke, Numerical Investigations of Chaotic Systems: A Handbook for JAY's Dynamics. Draft, Inst. Phys. Sci. Tech., Univ. Maryland, College Park, MD, 1992.