Optimal control for permanent magnet synchronous motor

This paper mainly analyzes the chaotic phenomenon of a permanent magnet synchronous motor (PMSM) when the PMSM is turned off and the research parameters of PMSM identify the effect of chaotic phenomenon of PMSM. Hamilton-Jacobi-Bellman (HJB) equation is introduced and a proposed optimal control technique based on HJB equation to control chaos in PMSM. Based on HJB equation, the problem of the design optimal controller is summarized as that of partial differential equations. And then the optimal controller is got by constructing Lyapunov function. In theory, a chaotic system can be controlled to any expected state using this scheme. Applying this scheme to control the chaos of PMSM when the PMSM is turned off, the PMSM can be asymptotically stable to zero point. Numerical simulations further test the effectiveness of the theoretical analysis.

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