A Linear Matrix Inequality Approach for the Control of Uncertain Fuzzy Systems

IEEE Control Systems

Volumn 22, Issue 4, 2002, Pages 20-25

  Lam, H K ^a   Leung, Frank H F ^a   Tam, Peter K S ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036685116     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2002.1021641     Document Type: Article

References (19)

1. T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications to modeling and control,” IEEE Trans. Sys. Man. Cybern., vol. SMC-15, no. 1, pp. 116-132, 1985.
2. M. Sugeno and G.T. Kang, “Structure identification of fuzzy model,” Fuzzy Sets Syst., vol. 28, pp. 15-33, 1988.
3. S.G. Cao,N.W. Rees, and G. Feng, “Analysis and design for a class of complex control systems Part I and II,” Automatica, vol. 33, no. 6, pp. 1017-1039, 1997.
4. E. Kim, M. Park, S. Ji, and M. Park, “A new approach to fuzzy modeling,” IEEE Trans. Fuzzy Syst., vol. 7, no. 2, pp. 236-240, 1999.
5. K. Tanaka, T. Ikeda, and H.O. Wang, “Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stability, H control theory, and linear matrix inequalities,” IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 1-13, 1996.
6. W.C. Kim, S.C. Ahn, and W.H. Kwon, “Stability analysis and stability of fuzzy state space models,” Fuzzy Sets Syst., vol. 71, pp. 131-142, 1995.
7. H.O. Wang, K. Tanaka, and M.F. Griffin, “An approach to fuzzy control of nonlinear systems: Stability and the design issues,” IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, 1996.
8. C.M. Cheng and N.W. Rees, “Stability analysis of fuzzy multivariable systems: Vector Lyapunov function approach,” IEE Proc. Control Theory Appl., vol. 144, no. 5, pp. 403-411, 1997.
9. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “Design of stable and robust fuzzy controllers for uncertain nonlinear systems: Three cases,” in Proc. IFAC/AIRTC97, 1997, pp. 28-32.
10. G. Kang, W. Lee, and M. Sugeno, “Design of TSK fuzzy controller based on TSK fuzzy model using pole placement,” in Fuzzy Systems Proc. 1998. IEEE World Cong. Computational Intelligence, vol. 1, 1998, pp. 246-251.
11. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model,” IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 657-661, 2001.
12. K.C. Sio and C.K. Lee, “Stability of fuzzy PID controller,” IEEE Trans. Fuzzy Syst., vol. 28, no. 4, pp. 490-495, 1998.
13. H.J. Kang, C. Kwon, H. Lee, and M. Park, “Robust stability analysis and design method for the fuzzy feedback linearization regulator,” IEEE Trans. Fuzzy Syst., vol. 6, no. 4, pp. 464-472, 1998.
14. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “Design of stable and robust fuzzy controllers for uncertain multivariable nonlinear systems,” in Stability Issues in Fuzzy Control, J. Aracil, F. Gordillo,Eds. New York: Springer, 2000, pp. 125-164.
15. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “Stable and robust fuzzy control for uncertain nonlinear systems,” IEEE Trans. Syst., Man Cybern., A, vol. 30, no. 6, pp. 825-840, 2000.
16. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “Fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties: Model reference approach,” Int. J. Approx. Reasoning, vol. 26, no. 2, pp. 129-144, 2001.
17. H.K. Lam, F.H.F. Leung, and P.K.S. Tam, “A switching controller for uncertain nonlinear systems,” IEEE Contr. Syst. Mag., vol. 22, pp. 7-14, Feb. 2002.
18. S.H. Żak, “Stabilizing fuzzy system models using linear controllers,” IEEE Trans. Fuzzy Syst., vol. 5, no. 3, pp. 328-337, 1999.
19. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, “Linear matrix inequailities in system and control theory,” SIAM, 1994.