Title: An indirect adaptive fuzzy sliding mode controller for a class of SISO non-linear systems

Authors: Hafedh Abid, Mohamed Chtourou, Ahmed Toumi

Addresses: Institut Superieur des Etudes Technologiques de Sfax, Route Mahdia Km 2.5 BP88 3099 Elbosten Sfax, Tunisie; Unite de Commande des Procedes Industriels (UCPI), ENIS, B.P. W, 3038, Sfax, Tunisie. ' Unite de Commande Intelligente, Design et Optimisation des Systemes complexes, (ICOS) ENIS, B.P. W, 3038, Sfax, Tunisie. ' Unite de Commande des Procedes Industriels (UCPI), ENIS, B.P. W, 3038, Sfax, Tunisie

Abstract: In this paper, we propose an indirect adaptive fuzzy controller for a class of SISO non-linear systems. The plant model structure is represented by a Takagi-Sugeno (T-S) type fuzzy system. The parameters of the T-S fuzzy model are adjusted online; the proposed algorithms are based on sliding manifold. The indirect adaptive fuzzy controller is based on a adjustable T-S fuzzy parameters model and sliding mode theory. The analysis of the stability of the adaptive algorithms is based on the Lyapunov approach. The plant state tracks asymptotically any bounded reference input signal. Inverted pendulum and mass spring damper are two examples used to check performances of the proposed fuzzy adaptive control scheme.

Keywords: Takagi-Sugeno fuzzy system; indirect adaptive control; state estimation; sliding mode control; Lyapunov function; nonlinear systems; fuzzy control.

DOI: 10.1504/IJMIC.2008.021092

International Journal of Modelling, Identification and Control, 2008 Vol.4 No.2, pp.145 - 159

Available online: 03 Nov 2008 *

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