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

Author:

Chen Xing12ORCID,Han Sen12,Li Jun12,Sun Shizheng12

Affiliation:

1. School of Intelligent Manufacturing Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, P. R. China

2. State Key Laboratory of Fluid Power and Mechatronic Systems, Hangzhou 310027, P. R. China

Abstract

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.

Funder

National Natural Science Foundation of China

Basic Natural Science and Frontier Technology Research Program

Science and Technology Research Project of the Chongqing Education Committee

Postdoctoral Research Foundation of China

Chongqing Special Postdoctoral Science Foundation

State Key Laboratory of Fluid Power and Mechatronic Systems

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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