Title: Observer-based output feedback integral terminal sliding mode control for nonlinear systems: multi-model approach

Authors: Kaïs Hfaïedh; Karim Dahech; Tarak Damak

Addresses: Ecole Nationale d'Ingénieurs de Sfax, Laboratoire des Sciences et Techniques de l´ Automatique de l´ informatique industrielle, Université de Sfax, LR11ES50, 3038, Sfax, Tunisia ' Ecole Nationale d'Ingénieurs de Sfax, Laboratoire des Sciences et Techniques de l´ Automatique de l´ informatique industrielle, Université de Sfax, LR11ES50, 3038, Sfax, Tunisia ' Ecole Nationale d'Ingénieurs de Sfax, Laboratoire des Sciences et Techniques de l´ Automatique de l´ informatique industrielle, Université de Sfax, LR11ES50, 3038, Sfax, Tunisia

Abstract: In this paper we propose an observer-based output feedback integral terminal sliding mode control for nonlinear systems. The state estimation problem is treated by using the Utkin observer under a multi-model structure. The design of the control law is based on the sliding mode theory using multi-model approach. In fact, we propose two types of multi-model integral terminal sliding mode which are sign integral and fraction integral. The objective of such observer-based control algorithms is to estimate the states of the system and to stabilise the output tracking error to zero. The stability proof is demonstrated by Lyapunov approach. A numerical example of denitrification process is presented in order to validate the performances of the proposed control laws.

Keywords: nonlinear systems; multi-model approach; Takagi-Sugeno models; sector nonlinearity transformation; integral terminal sliding mode control; state observer; output feedback control; robust control.

DOI: 10.1504/IJMIC.2020.111618

International Journal of Modelling, Identification and Control, 2020 Vol.34 No.3, pp.225 - 234

Received: 12 Aug 2019
Accepted: 24 Jan 2020

Published online: 30 Nov 2020 *

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