Robustness design of nonlinear dynamic systems via fuzzy linear control

IEEE Transactions on Fuzzy Systems

Volumn 7, Issue 5, 1999, Pages 571-585

  Chen, Bor Sen ^a,b   Tseng, Chung Shi ^b   Uang, Huey Jian ^b  

^a IEEE   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

H robust control; Linear matrix inequality; Nonlinear fuzzy observer; Takagi Sugeno fuzzy control

Indexed keywords

APPROXIMATION THEORY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

LINEAR MATRIX INEQUALITIES (LMI); TAKAGI-SUGENO FUZZY CONTROL;

NONLINEAR CONTROL SYSTEMS;

EID: 0033205006     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/91.797980     Document Type: Article

References (28)

1. 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, Jan./Feb. 1985.
2. G. C. Hwang and S. C. Lin, "A stability approach to fuzzy control design for nonlinear systems," Fuzzy Sets Syst., vol. 48, pp. 279-287, 1992.
3. J. J. Buckley, "Theory of fuzzy controller: An introduction," Fuzzy Sets Syst., vol. 51, pp. 249-258, 1992.
4. C. C. Lee, "Fuzzy logic in control systems: Fuzzy logic controller - Part I and Part II," IEEE Trans. Syst., Man, Cybern., vol. 20, pp. 404-435, Mar./Apr. 1990.
5. H. Ying, W. Silver, and J. J. Buckley, "Fuzzy control theory: A nonlinear case," Automatica, vol. 26, pp. 513-520, 1990.
6. H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Syst., vol. 4, pp. 14-23, Feb. 1996.
7. ∞ tracking design of linear systems: Adaptive fuzzy approach," IEEE Trans. Fuzzy Syst., vol. 4, pp. 32-43, Nov. 1996.
8. B. R. Barmish, "Necessary and sufficient conditions for quadratic stability of an linear systems," J. Optim. Theory Appl., vol. 46, no. 4, pp. 399-408, 1985.
9. ∞ control theory," IEEE Trans. Automat. Contr., vol. 35, no. 3, pp. 356-361, Mar. 1990.
10. ∞ Control Theory, Lecture Notes in Control Information Science. Berlin, Germany: Springer-Verlag, 1987, vol. 8.
11. ∞ Control Problem: A State Space Approach. Englewood Cliffs, NJ: Prentice-Hall, 1992.
12. ∞ control problems," IEEE Trans. Automat. Contr., vol. 34, no. 8, pp. 831-847, Aug. 1989.
13. ∞ control design in robotic systems under parameter perturbation and external disturbance," Int. J. Contr., vol. 59, pp. 439-461, 1994.
14. B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods. Englewood Cliffs, NJ: Prentice-Hall, 1990.
15. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
16. G. Feng, S. G. Cao, N. W. Rees, and C. K. Chak, "Design of fuzzy control systems with guaranteed stability," Fuzzy Sets Syst., vol. 85, pp. 1-10, 1997.
17. H. K. Khalil, Nonlinear Systems. London, U.K.: Macmillan, 1992.
18. Y. M. Cho and R. Rajamani, "A systematic approach to adaptive observer synthesis for nonlinear systems," IEEE Trans. Automat. Contr., vol. 42, pp. 534-537, Apr. 1997.
19. ∞ control via measurement feedback in nonlinear systems," IEEE Trans. Automat. Contr., vol. 37, pp. 1283-1293, Sept. 1992.
20. ∞ control via measurement feedback for affine nonlinear systems," Int. J. Robust Nonlinear Contr., 1994.
21. J. P. LaSalle, "Some extensions of Lyapunov's second method," IRE Trans. Circuit Theory, pp. 520-527, Dec. 1960.
22. J. T. Spooner and K. M. Passino, "Stable adaptive control using fuzzy systems and neural networks," IEEE Trans. Fuzzy Syst., vol. 4, pp. 339-359, Aug. 1996.
23. X. Ma, Z. Sun, and Y. He, "Analysis and design of fuzzy controller and fuzzy observer," IEEE Trans. Fuzzy Syst., vol. 6, pp. 41-51, Feb. 1998.
24. C. M. Cheng and N. W. Rees, "Stability analysis of fuzzy multivariable systems: Vector Lyapunov function approach," Proc. Inst. Elect. Eng. - Contr. Theory Appl., vol. 144, no. 5, Sept. 1997.
25. K. Narendra and A. M. Annaswamy, "A new adaptation law for robust adaptation without persistent excitation," IEEE Trans. Automat. Contr., vol. AC-32, pp. 134-145, Feb. 1987.
26. C. S. Tseng, B. S. Chen, and H. J. Uang, "A robustness design of uncertain nonlinear dynamic systems via fuzzy linear control," in IEEE World Congress Computat. Intell., Anchorage, AK, May 1998, pp. 428-433.
27. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. Natick, MA: MathWorks, 1995.
28. B. S. Chen, H. J. Uang, and C. S. Tseng, "Robust tracking enhancement of robot systems including motor dynamics: A fuzzy-based dynamic game approach," IEEE Trans. Fuzzy Syst., vol. 6, pp. 538-552, Nov. 1998.