Title: Adaptive fuzzy control for the stabilisation of chaotic systems

Authors: Hanene Medhaffar; Moez Feki; Nabil Derbel

Addresses: Control and Energy Management Laboratory (CEMLab), National Engineering School of Sfax, University of Sfax, Tunisia ' Laboratoire de Mathématiques: Modélisation Déterministe et Aléatoire (LAMMDA), ESSTHS, University of Sousse, Tunisia ' Control and Energy Management Laboratory (CEMLab), National Engineering School of Sfax, University of Sfax, Tunisia

Abstract: In this paper, we investigate the stabilisation of unstable periodic orbits of continuous time chaotic systems using adaptive fuzzy controllers. For this aim, we present a control method that can achieve the stabilisation of an unstable periodic orbit (UPO) without any knowledge of the system model. Thus, a fuzzy adaptive linear controller is proposed based on time-delay feedback approach to obtain one that achieves UPO stabilisation. Finally, we use reduced order sliding observer to estimate the necessary state for the controller construction. The efficiency of proposed methods is demonstrated using numerical simulations applied to Chua's system.

Keywords: chaos control; fuzzy adaptive systems; time-delayed state feedback; sliding mode observer.

DOI: 10.1504/IJAAC.2020.105511

International Journal of Automation and Control, 2020 Vol.14 No.2, pp.115 - 137

Received: 31 Jan 2018
Accepted: 27 May 2018
Published online: 03 Mar 2020 *

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