Adaptive fuzzy control for the stabilisation of chaotic systems. (11th February 2020)

• Record Type: Journal Article
• Authors: Medhaffar, Hanene; Feki, Moez; Derbel, Nabil
• Is Part Of: International journal of automation and control. Volume 14:Number 2(2020)
• Page Start: 115
• Page End: 137
• Publication Date: 2020-02-11
• Subjects: chaos control -- fuzzy adaptive systems -- time-delayed state feedback -- sliding mode observer; Automation -- Periodicals; Control theory -- Periodicals; Automatic control -- Periodicals; Robots -- Periodicals; Bionics -- Periodicals; Intelligent control systems -- Periodicals
• Languages: English
• ISSNs: 1740-7516

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.