分数阶时滞系统的频域子空间辨识

Frequency Domain Subspace Identification of Fractional Order Time-Delay System

  • 摘要: 研究了利用频率响应数据辨识分数阶时滞系统子空间模型的问题,给出了一种差分进化算法与频域子空间方法相结合的辨识算法.利用差分进化算法搜索最优分数微分阶次和时滞参数,而对于固定的分数微分阶次和时滞,则采用分数阶频域子空间辨识方法得到状态空间模型.通过仿真算例验证了该算法的有效性.

     

    Abstract: The subspace identification problem of fractional order time-delay system using frequency responses is studied. A new identification method,which combines the differential evolution(DE) algorithm and subspace method in frequency domain,is presented.The DE algorithm is used to search the optimal fractional differential order and time delay parameters. While,for fixed fractional differential order and time delay,subspace method is applied to obtaining the state space model. The efficiency of the new algorithm is proved via simulation tests.

     

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