Chaos detection and control for permanent magnet synchronous motor

Abstract

Permanent magnet synchronous motor (PMSM) can exhibit chaotic behavior when certain parameters reach critical values. This chaos can
significantly impair the performance of the PMSM and potentially jeopardize the safe operation of the power system if not addressed
promptly. Since system parameters can change during operation, the PMSM can enter a chaotic state at any moment. Therefore, the first step
is determining whether the system is experiencing chaos, followed by implementing control measures to eliminate this chaotic behavior. This
paper proposes an online observer designed to detect chaotic behavior as soon as it occurs in the PMSM. Additionally, a chaotic controller
based on state feedback is developed to counteract the chaotic behavior. Through mathematical analysis and simulation results, the paper
demonstrates that the observer can successfully identify chaos, triggering the chaos controller automatically when such behavior is detected.
This process helps stabilize the system quickly.