Title: Direct fuzzy adaptive control based on sliding surface for a class of SISO non-linear systems

Authors: Hafedh Abid; Mohamed Chtourou; Ahmed Toumi

Addresses: Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) National School of Engineering of Sfax, University of Sfax, Postal Box 1173, 3038 Sfax, Tunisia. ' Unité de Commande Intelligente, Design et optimisation des Systèmes Complexes, (ICOS) ENIS BP 1173, University of Sfax, 3038 Sfax, Tunisia. ' Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) National School of Engineering of Sfax, University of Sfax, Postal Box 1173, 3038 Sfax, Tunisia

Abstract: In this work we are interested in direct fuzzy adaptive control. The continuous SISO non-linear system is presented by the Takgi-Sugeno type fuzzy state model. The strategy of reference model direct adaptive control theory is presented then the adaptive fuzzy adjustment algorithm is presented. The control law includes two terms. The first is responsible to stabilise the plant is computed based on PDC method. The second constitutes the feed forward gain. All the parameters of the controller are adjusted online. The adjustment algorithm of the controller parameters exploits the sliding surface to profit of robustness of sliding mode control. The stability analysis of the closed-loop system has been proven using the Lyapunov approach. The single synchronous generator coupled to the infinite-bus power system is used to check the performances of the proposed control scheme.

Keywords: T-S fuzzy models; direct adaptive control; sliding mode control; Lyapunov function; modelling; fuzzy control; SISO nonlinear systems.

DOI: 10.1504/IJMIC.2012.046697

International Journal of Modelling, Identification and Control, 2012 Vol.16 No.1, pp.70 - 78

Published online: 17 Dec 2014 *

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