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非均匀气隙永磁同步电机的自适应混沌同步 被引量:32

Adaptive chaotic synchronization of permanent magnet synchronous motors with nonsmooth air-gap
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摘要 提出了一种非均匀气隙永磁同步电机(PMSM)混沌系统的同步控制方法.首先通过多时标变换,将转子磁场定向坐标系下的PMSM模型,变换成一种简单的无量纲模型.之后采用相图和分岔图的方法,对PMSM的混沌动态行为进行了分析.指出了倍周期分岔是非均匀气隙PMSM通向混沌的主要途径.最后基于Lyapunov稳定性理论,设计自适应控制器,实现了PMSM系统的混沌同步.数字仿真结果验证了理论分析的正确性和控制方法的有效性. A synchronization control method is proposed for the chaotic system of the permanent magnet synchronous motor(PMSM) with nonsrnooth air-gap. First, the model of the PMSM in the rotor-field-oriented frame is transformed into a simple dimensionless form via the multi-time-scale transformation, and then the chaotic behaviors of the PMSM are analyzed by means of the phase portrait and the bifurcation diagram. The period-doubling bifurcation is considered the major cause for the PMSM to be chaotic. Finally, by employing the Lyapunov stability theory, we design an adaptive controller for realizing the chaotic synchronization of the PMSM. Numerical simulation results confirm the correctness of the theoretical analysis and validity of the proposed method.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2009年第6期661-664,共4页 Control Theory & Applications
基金 江苏省高校自然科学基金资助项目(06KJB510040) 江苏省工业装备数字制造及控制技术重点实验室开放项目(BM2007201)
关键词 永磁同步电机 LYAPUNOV稳定性 倍周期分岔 混沌同步 PMSM Lyapunov stability period-doubling bifurcation chaos synchronization
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参考文献12

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