Stable adaptive control of fuzzy dynamic systems

Authors:
G. Feng;S. G. Cao;N. W. Rees
Affiliations:
Department of MEEM, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of MEEM, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;School of Electrical Engineering, University of New South Wales, Sydney, NSW 2052, Australia
Venue:
Fuzzy Sets and Systems - Modeling and control
Year:
2002

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Abstract

This paper discusses fuzzy model reference adaptive control for a class of nonlinear systems. The system concerned is represented by a family of local transfer function models smoothly connected together by fuzzy membership functions. The model reference adaptive control law is first designed in each local region and then constructed in global domain. It is shown that the resulting fuzzy adaptive control system is globally stable based on a suitable piecewise differentiable Lyapunov function. A simulation example is given for demonstration of the application of the method.