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DIRECT ADAPTIVE TYPE-2 FUZZY CONTROL FOR NONLINEAR SYSTEMS

KHEIREDDINE CHAFAA

Electronics Department, Mohamed Boudiaf University, Msila 28000, Algeria

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LAMIR SAIDI

Electronics Department, Hadj Lakhdar University, Batna 05000, Algeria

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MOUNA GHANAI

Electronics Department, Farhet Abbas University, Setif 19000, Algeria

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, and

KHIER BENMAHAMMED

Electronics Department, Farhet Abbas University, Setif 19000, Algeria

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https://doi.org/10.1142/S1469026806001897Cited by:8 (Source: Crossref)

Abstract

A new direct adaptive type-2 fuzzy controller for a nonlinear dynamical system is developed in this paper. The parameters of the membership functions characterizing the linguistic terms in the type-2 fuzzy IF–THEN rules change according to some adaptive law for the purpose of controlling a plant to track a reference trajectory. A supervisory controller is appended to the type-2 fuzzy controller to force the state to be within the constraint set. Stability of this adaptive scheme is established using Lyapunov stability tools, where we guarantee the global stability of the resulting closed-loop system, in the sense that all signals involved are uniformly bounded. The simulation results for a Duffing forced-oscillation system show better performances, i.e. tracking error and control effort can be made smaller.

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