参数未知的永磁同步电机混沌系统模糊自适应同步控制
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国家自然科学基金(51407104)


Fuzzy adaptive synchronization of permanent magnet synchronous motor chaotic system with unknown parameters
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    摘要:

    提出了一种参数未知的永磁同步电机(PMSM)系统的模糊自适应同步控制方法.首先通过放射变换和时间尺度变换,将转子磁场定向坐标系下的PMSM 模型,变换成无量纲模型.其次通过分析其相图和Lyapunov 指数谱,阐述了PMSM 的混沌动态行为.接着,在假设PMSM 系统参数未知并将PMSM 混沌模型及其响应系统模型表示成T?S 模糊模型的基础上,利用Lyapunov 稳定性理论和自适应控制策略设计了响应系统,并导出了自适应控制律来估计驱动系统参数.此外,设计了响应系统的模糊控制器,对PMSM 系统及其响应系统进行同步控制,并证明了同步误差动态是渐近稳定的.最后,仿真结果验证了该方法的有效性.

    Abstract:

    A fuzzy adaptive synchronization control method of Permanent Magnet Synchronous Motor chaotic system with unknown parameters is proposed. Firstly, the model of PMSM in the rotor?field oriented frame is transformed into the dimensionless form via the affine transformation and time scale transformation. The chaotic dynamical behaviors of PMSM are illustrated by analyzing its phase portrait and Lyapunov exponents in details. T?S fuzzy model is then employed to represent the chaotic drive and response systems, where the parameters of the drive system are assumed unknown, and the response system is designed by adaptive strategy to estimate the unknown parameters, and its stability is guaranteed by Lyapunov stability theory. In addition, the fuzzy controller in response system is designed to realize the synchronization between the PMSM chaotic system and the response system. The synchronous error system is proved to be asymptotically stable. Finally, numerical results illustrate the validity of the proposed adaptive synchronization approach.

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谢成荣,张仁愉,王仁明,王凌云.参数未知的永磁同步电机混沌系统模糊自适应同步控制[J].动力学与控制学报,2017,15(6):537~543; Xie Chengrong, Zhang Renyu, Wang Renming, Wang Lingyun. Fuzzy adaptive synchronization of permanent magnet synchronous motor chaotic system with unknown parameters[J]. Journal of Dynamics and Control,2017,15(6):537-543.

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  • 收稿日期:2016-03-02
  • 最后修改日期:2016-06-02
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  • 在线发布日期: 2017-10-02
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