Title: Optimal control based on multiple models approach of chaotic switched systems, application to a stepper motor

Authors: Yosra Miladi; Nabil Derbel; Moez Feki

Addresses: Energy Management Laboratory (CEMLab), Sfax Engineering School, University of Sfax, BP 1073, 3038 Sfax, Tunisia ' Energy Management Laboratory (CEMLab), Sfax Engineering School, University of Sfax, BP 1073, 3038 Sfax, Tunisia ' Research Group LAMMDA, École Supérieure des Sciences et de la Technologie de Hammam Sousse, University of Sousse, Tunisia; Research Group Sécurité Numérique, École Supérieure des Communications de Tunis, Université de Carthage, Tunisia

Abstract: In this paper, we are interested in the control of chaotic switched systems with application to a stepper motor. The aim of the control is to determine the optimal sequence of switching instants in order to bring the chaotic behaviour of the system to a periodic one. The determination of the optimal sequence will follow two steps using an optimisation algorithm, the Hamiltonian system and the derivative of a performance criterion over the switching instants. The nonlinear switched system is modelled by a multiple linear time-invariant models approach to make possible to calculate the gradient of the cost function and therefore to determine the optimal instants of switches. Simulations are applied to a stepper motor to illustrate the results.

Keywords: multiple models; linear time-invariant model; optimal control; chaotic switched systems.

DOI: 10.1504/IJAAC.2021.113345

International Journal of Automation and Control, 2021 Vol.15 No.2, pp.240 - 258

Received: 29 Jun 2019
Accepted: 30 Oct 2019
Published online: 01 Mar 2021 *

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