A Stabilization Algorithm for Discrete-Time Fuzzy Control Systems

Article type: Research Article

Authors: Cao, S.G. | Rees, N.W. | Feng, G.

Affiliations: Department of Systems and Control, School of Electrical Engineering, University of New South Wales, Sydney 2052, N.S.W., Australia, e-mail: cao@syscon.ee.unsw.edu.au

Abstract: This article presents a design method for discrete-time fuzzy control systems. The method is based on a discrete-time Takagi-Sugeno fuzzy state space model. A suitable quadratic Lyapunov function is used to establish asymptotic stability of the closed loop system. A necessary and sufficient condition for stabilization of a discrete-time fuzzy control system is given. Further-more, a constructive algorithm is developed to obtain the stabilizing feedback control law. The stabilization algorithm involves solving a certain discrete-time algebraic Riccati equation. Two examples are given to illustrate the application of the method.

DOI: 10.3233/IFS-1996-4404

Journal: Journal of Intelligent and Fuzzy Systems, vol. 4, no. 4, pp. 281-293, 1996