Title: Indirect adaptive interval type-2 fuzzy control for nonlinear systems

Authors: Kheireddine Chafaa, Lamir Saidi, Mouna Ghanai, Khier Benmahammed

Addresses: Department of Electronics, University of Mohamed Boudiaf, Msila 28000, Algeria. ' Department of Electronics, University of Hadj Lakhdar, Batna 05000, Algeria. ' Department of Electronics, University of Ferhat Abbas, Setif 19000, Algeria. ' Department of Electronics, University of Ferhat Abbas, Setif 19000, Algeria

Abstract: A new indirect adaptive type-2 fuzzy controller for a nonlinear dynamical systems is developed in this paper. The parameters of the Membership Functions (MFs) characterising the linguistic terms in the type-2 fuzzy IF-THEN rules change according to some adaptive laws 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 guarantees the global stability of the resulting closed-loop system in the sense that all signals involved are uniformly bounded. The simulation results for an inverted pendulum, show better performances, that is, tracking error and control effort can be made smaller.

Keywords: type-2 fuzzy control; supervisory control; type-2 fuzzy logic; adaptive control; type-2 fuzzy basis functions; FBFs; uncertain nonlinear systems; dynamical systems; simulation; inverted pendulum; tracking errors.

DOI: 10.1504/IJMIC.2007.014623

International Journal of Modelling, Identification and Control, 2007 Vol.2 No.2, pp.106 - 119

Published online: 21 Jul 2007 *

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