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AN IMPROVED ROBUST ADAPTIVE FUZZY CONTROLLER FOR MIMO SYSTEMS

N. Essounbouli, A. Hamzaoui, and J. Zaytoon

Keywords

Adaptive fuzzy control, H∞ tracking, algebraic Riccati equation,uncertain systems, nonlinear systems

Abstract

This paper addresses robust fuzzy adaptive control for nonlinear multi-input multi-output systems in the presence of parametric un- certainties and external disturbances. A universal approximator is used to approximate the plant model. The boundedness of the variables involved and convergence towards zero of the tracking error are guaranteed by a supervisory control. The effect of both the approximation errors and the external disturbances is attenuated to a prescribed level via an H∞ supervisor. Suffcient conditions are derived for robust stabilization in the sense of Lyapunov asymp- totic stability. The effectiveness of the proposed controller design methodology is demonstrated by numerical simulations of a two-link robot.

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