Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm

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

Volumn 33, Issue 2, 2003, Pages 250-257

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

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Fuzzy plant model; Genetic algorithm (GA); Nonlinear controller; Nonlinear systems; Stability

Indexed keywords

FEEDBACK CONTROL; FUZZY CONTROL; GENETIC ALGORITHMS; LYAPUNOV METHODS; PENDULUMS;

FUZZY PLANT MODEL;

NONLINEAR CONTROL SYSTEMS;

EID: 0037380375     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2003.810440     Document Type: Review

References (25)

1. R. M. Tong, M. Beck, and A. Latten, "Fuzzy control of the activated sludge wastewater treatment process," Automatica, vol. 16, pp. 695-697, 1980.
2. L. P. Holmblad and J. J. Ostergaard, "Control of a cement kiln by fuzzy logic techniques," in Proc. 8th IFAC Corf., Kyoto, Japan, 1981, pp. 809-814.
3. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man., Cybern., vol. SMC-15, pp. 116-132, Jan. 1985.
4. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
5. ∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, pp. 1-13, Feb. 1996.
6. 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, pp. 14-23, Feb. 1996.
7. S. G. Cao, N. W. Rees, and G. Feng, "Analysis and design for a class of complex control systems - Parts I and II: Fuzzy controller design," Automatica, vol. 33, no. 6, pp. 1017-1039, 1997.
8. R. Palm and D. Driankov, "Stability of fuzzy gain-schedulers: Sliding-mode-based analysis," Proc. IEEE Int. Conf. Fuzzy Syst., pp. 177-183, 1997.
9. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
10. K. Tanaka, T. Kosaki, and H. O. Wang, "Backing control problem of a mobile robot with multiple trailers: Fuzzy modeling and LMI-based design," IEEE Trans. Syst., Man, Cybern. C, vol. 28, pp. 329-337, Aug. 1998.
11. K. Tanaka, T. Ikeda, and H. O. Wang, "A unified approach to controlling chaos via an LMI-based control system design," IEEE Trans. Circuits Syst. I, vol. 45, pp. 1021-1040, Oct. 1998.
12. E. Kim, H. J. Kang, and M. Park, "Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequality," IEEE Trans. Syst., Man, Cybern. A, vol. 29, pp. 333-346, July 1999.
13. 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, Ed. New York: Springer-Verlag, 2000, pp. 125-164.
14. _, "Stable and robust fuzzy control for uncertain nonlinear systems," IEEE Trans. Syst., Man, Cybern. A, vol. 30, pp. 825-840, Nov. 2000.
15. _, "Fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties: Model reference approach," Int. J. Approx. Reason., vol. 26, pp, 129-144, Feb. 2001.
16. _, "Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model," IEEE Trans. Fuzzy Syst., vol. 9, pp. 657-661, Aug. 2001.
17. _, "A switching controller for uncertain nonlinear systems," IEEE Control Syst. Mag., vol. 22, pp. 7-14, Feb. 2002.
18. _, Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach, in IEEE Control Syst. Mag., to be published.
19. F. H. F. Leung, H. K. Lam, and P. K. S. Tam, "Design of fuzzy controllers for uncertain nonlinear systems using stability and robustness analyses," Syst. Control Lett., vol. 35, no. 4, pp. 237-243, 1998.
20. H. K. Lam, S. H. Ling, F. H. F. Leung, and P. K. S. Tam, "Optimal and stable fuzzy controllers for nonlinear systems subject to parameter uncertainties using genetic algorithm," Proc. 10th IEEE Int. Conf. Fuzzy Syst. (FUZZ-IEEE 2001), pp. 908-911, Dec. 2-5, 2001.
21. H. K. Lam, S. H. Ling, K. F. Leung, and F. H. F. Leung, "On interpretation of graffiti commands for eBooks using a neural network and an improved genetic algorithm," Proc. 10th IEEE Int. Conf. Fuzzy Syst. (FUZZ-IEEE 2001), pp. 1464-1467, Dec. 2-5, 2001.
22. H. K. Lam, S. H. Ling, E. H. F. Leung, and P. K. S. Tam, "Tuning of the structure and parameters of neural network using an improved genetic algorithm," Proc. 27th Annu. Conf. IEEE Industrial Electronics Society (IECON), pp. 25-30, Nov. 29-Dec. 2, 2001.
23. S. H. Ling, H. K. Lam, F. H. F. Leung, and P. K. S. Tam, "A neural fuzzy network with optimal number of rules for short-term daily load forecasting in an intelligent home," Proc. 10th IEEE Int. Conf. Fuzzy Syst. (FUZZ-IEEE 2001), pp. 1456-1459, Dec. 2-5, 2001.
24. E. Kreyszig, Advanced Engineering Mathematics, 6th ed. New York: Wiley, 1998.
25. Z. Michalewicz, Genetic Algorithm + Data Structures = Evolution Programs, 2nd ed. New York: Springer-Verlag, 1994.