An approach to H∞ control of fuzzy dynamic systems

Authors:
J. Ma;G. Feng
Affiliations:
Department of Information Systems, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;Department of MEEM, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Venue:
Fuzzy Sets and Systems - Theme: Modeling and control
Year:
2003

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Abstract

This paper presents an approach to H∞ control of a class of continuous-time nonlinear systems which can be represented by a fuzzy dynamic model. A suitable piecewise differentiable quadratic Lyapunov function is used to establish asymptotic stability and H∞ performance of the closed-loop fuzzy control system. A constructive algorithm is developed to obtain the H∞ feedback control law, which involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.