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)
Cited by
3 articles.
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