Eur. Phys. J. Spec. Top. (2022) 231: 443-451
https://doi.org/10.1140/epjs/s11734-021-00422-4

Regular Article

Predictive control and synchronization of uncertain perturbed chaotic permanent-magnet synchronous generator and its microcontroller implementation

¹ L2EI Laboratory, Electronics Department, Jijel University, Jijel, Algeria
² Laboratory of Nonlinear Systems—Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece
³ Laboratory of Complex Cyber Physical System, ENSAM Casablanca, University Hassan II of Casablanca, Casablanca, Morocco
⁴ Ecole Centrale of Nantes, Laboratory of Digital Sciences of Nantes (LS2N), Nantes, France

^e k.kemih@gmail.com

Received: 18 June 2021
Accepted: 16 December 2021
Published online: 3 January 2022

Abstract

It has been proved that the permanent-magnet synchronous generator system displays a variety of chaotic phenomenon when its parameters or external inputs satisfy a certain condition, and it would degrade the efficiency of the PMSG system dramatically. This paper studies the problem of control and synchronization of the chaotic PMSG system which contains perturbations and uncertainties using predictive control. The proposed controller not only accounts for the load torque disturbance but also takes the external disturbance and the parametric uncertainties into account. Based on Lyapunov’s stability theory and the Linear Matrix Inequality (LMI) technique, a predictive controller is proposed to stabilize the chaotic PMSG systems. The effectiveness of this method is demonstrated through a numerical simulation and also through a microcontroller implementation using Arduino boards.