Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations

Qijia Yao, Hadi Jahanshahi (), Stelios Bekiros, Jinping Liu and Abdullah A. Al-Barakati
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Qijia Yao: School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Hadi Jahanshahi: Institute of Electrical and Electronics Engineers, Toronto, ON M5V 3T9, Canada
Jinping Liu: College of Information Science and Engineering, Hunan Normal University, Changsha 410081, China
Abdullah A. Al-Barakati: Communication Systems and Networks Research Group, Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 14, 1-14

Abstract: It is well known that the permanent magnet synchronous motor (PMSM) exhibits chaotic characteristics when its parameters fall within a certain range, which can lead to system instability. This article proposes an adaptive control strategy for achieving the fixed-time chaotic stabilization of PMSM, even in the presence of unknown parameters and perturbations. The developed controller is synthesized by combining a parametric adaptive mechanism with a fixed-time control technique. The stability analysis demonstrates that the system states under the developed controller can converge to small neighborhoods around the equilibrium point within a fixed time. Thanks to the adoption of the parametric adaptive mechanism, the developed controller is not only insensitive to unknown parameters but also robust against perturbations. Finally, simulated studies are conducted to verify and emphasize the effectiveness of the developed control strategy.

Keywords: permanent magnet synchronous motor; chaotic stabilization; fixed-time control; adaptive control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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