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Control of chaos in permanent magnet synchronous motor by using optimal Lyapunov exponents placement. (English) Zbl 1238.34118
Summary: Permanent Magnet Synchronous Motor (PMSM) experiences chaotic behavior for a certain range of its parameters. In this case, since the performance of the PMSM degrades, the chaos should be eliminated. In this Letter, the control of the undesirable chaos in PMSM using Lyapunov exponents (LEs) placement is proposed that is also improved by choosing optimal locations of the LEs in the sense of predefined cost function. Moreover, in order to provide the physical realization of the method, nonlinear parameter estimator for the system is suggested. Finally, to show the effectiveness of the proposed methodology, the simulation results for applying this control strategy are provided.

MSC:
34H10Chaos control (ODE)
34C28Complex behavior, chaotic systems (ODE)
34D08Characteristic and Lyapunov exponents
78A55Technical applications of optics and electromagnetic theory
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References:
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