Chaos Suppression for Coupled Electromechanical Torsional Vibrations in a High-Speed Permanent Magnet Synchronous Motor Driven System via Multitime Delayed Feedback Control

In this paper, we describe a coupled nonlinear electromechanical torsional vibration model of a high-speed permanent magnet synchronous motor driven system based on the Lagrange–Maxwell theory. The chaotic state is induced by external excitation forces. A multitime delay feedback control scheme is derived to suppress chaos in such vibrations. An analytical criterion condition for chaos is deduced by Melnikov’s method. Detailed numerical studies, including bifurcation diagram, phase portrait, and a Poincaré map, confirm the analytical prediction. It is revealed that the chaotic motion can be effectively suppressed by reducing or increasing the feedback parameters of the multitime delay feedback control scheme.