Title: Synchronisation of chaotic permanent magnet synchronous motors via adaptive control based on sliding mode observer

Authors: Sana Ben Jemaâ-Boujelben; Moez Feki

Addresses: Energy Management Laboratory (CEMLab), University of Sfax, Sfax Engineering, School, BP 1073, 3038 Sfax, Tunisia ' Energy Management Laboratory (CEMLab), University of Sfax, Sfax Engineering, School, BP 1073, 3038 Sfax, Tunisia

Abstract: A novel MIMO adaptive linear feedback controller is proposed in this paper to synchronise chaotic permanent magnet synchronous motors (PMSM). The proposed control uses a nonlinear sliding mode observer for speed estimation. The controller consists in determining an adaptation law to tune the controller gain vector in order to track a predetermined linearising feedback control. Asymptotic stability of the closed-loop synchronisation error system is proved based on Lyapunov approach. The designed adaptive controller presents an important advantage since it does not require exact model of PMSM. The simulation results are presented to demonstrate that the constructed scheme can ensure perfect synchronisation even under external disturbances.

Keywords: chaotic PMSM; permanent magnet synchronous motors; synchronisation; feedback control; adaptive control; output regulation; Lyapunov stability; sliding mode observer; SMO; MIMO controllers; controller design; speed estimation; asymptotic stability; simulation.

DOI: 10.1504/IJAAC.2016.079542

International Journal of Automation and Control, 2016 Vol.10 No.4, pp.417 - 435

Received: 12 Nov 2015
Accepted: 26 Feb 2016
Published online: 30 Sep 2016 *

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