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Synchronization and controlling chaos in a permanent magnet synchronous motor. (English) Zbl 1336.70038
Summary: In most situations, the high performance of permanent magnet synchronous motors (PMSMs) depends on an absence of chaos; consequently, suppressing chaos becomes quite important. Therefore, this study confirms the chaotic motion and then applies synchronization to a chaotic PMSM system to control chaos. Rich dynamics of the PMSM system are studied using a bifurcation diagram, phase portraits, a Poincaré map, frequency spectra and Lyapunov exponents. First, the largest Lyapunov exponent is estimated using synchronization to identify periodic and chaotic motions. Next, complex nonlinear behaviors are thoroughly observed throughout a range of parameter values in the bifurcation diagram. Finally, a proposed continuous feedback control method based on synchronization characteristics eliminated chaotic oscillations. Numerical simulations are utilized to verify the feasibility and efficiency of the proposed control technique.

MSC:
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
70K50 Bifurcations and instability for nonlinear problems in mechanics
70Q05 Control of mechanical systems
78A55 Technical applications of optics and electromagnetic theory
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