Past Issues

Studies in Informatics and Control
Vol. 15, No. 1, 2006

Indirect Adaptive Fuzzy Control Scheme Based on Lyapunov Approach for a Class of SISO Nonlinear Systems

Hafedh Abid, Ahmed Toumi, Mohamed Chtourou
Abstract

In this paper we are interested in an indirect fuzzy adaptive control of SISO nonlinear systems in the presence of parametric uncertainties. The plant model structure is represented by a fuzzy system. The essential idea of the on-line parametric estimation of the plant model is based on a comparison of the measured state with the estimate one. The design of adaptive law is based on a Lyapunov approach. The control action comprises two terms: a classical indirect adaptive fuzzy controller and a supervisory controller. The plant state tracks asymptotically any bounded reference input signal. Two examples are used to check performance of the proposed controller.

Keywords

Nonlinear system; Fuzzy system; State estimation; Adaptive fuzzy control; Stability; Supervisory control; Tracking error.

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