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Chen, Xing; Han, Sen; Li, Jun; Sun, Shizheng

Chaos suppression for coupled electromechanical torsional vibrations in a high-speed permanent magnet synchronous motor driven system via multitime delayed feedback control. (English) Zbl 1466.74018

Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050128, 13 p. (2020).
Summary: 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.

Cited in 1 Document

MSC:

74H65 Chaotic behavior of solutions to dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74F15 Electromagnetic effects in solid mechanics
37N15 Dynamical systems in solid mechanics
93B52 Feedback control

Keywords:

Lagrange-Maxwell theory; electromechanical torsional vibration; chaos; Melnikov method; multitime delay feedback control
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References:

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