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基于信息压缩矩阵交替变换的分数阶系统结构、阶次与参数的同时辨识方法

朱呈祥 邹云

朱呈祥, 邹云. 基于信息压缩矩阵交替变换的分数阶系统结构、阶次与参数的同时辨识方法. 自动化学报, 2012, 38(8): 1280-1287. doi: 10.3724/SP.J.1004.2012.01280
引用本文: 朱呈祥, 邹云. 基于信息压缩矩阵交替变换的分数阶系统结构、阶次与参数的同时辨识方法. 自动化学报, 2012, 38(8): 1280-1287. doi: 10.3724/SP.J.1004.2012.01280
ZHU Cheng-Xiang, ZOU Yun. Simultaneous Identification of Fractional-order System Structure and Order and Parameters Based on Alternately Transforming Condensed Information Matrix. ACTA AUTOMATICA SINICA, 2012, 38(8): 1280-1287. doi: 10.3724/SP.J.1004.2012.01280
Citation: ZHU Cheng-Xiang, ZOU Yun. Simultaneous Identification of Fractional-order System Structure and Order and Parameters Based on Alternately Transforming Condensed Information Matrix. ACTA AUTOMATICA SINICA, 2012, 38(8): 1280-1287. doi: 10.3724/SP.J.1004.2012.01280

基于信息压缩矩阵交替变换的分数阶系统结构、阶次与参数的同时辨识方法

doi: 10.3724/SP.J.1004.2012.01280
详细信息
    通讯作者:

    朱呈祥

Simultaneous Identification of Fractional-order System Structure and Order and Parameters Based on Alternately Transforming Condensed Information Matrix

  • 摘要: 在愈来愈被关注的分数阶控制研究中,分数阶系统辨识的理论与方法是一个重要方向. 目前相关研究极少涉及分数阶系统的结构和阶次辨识. 首先讨论了分数阶线性SISO系统辨识的有色噪声模型,然后构造了具有"移位性质"的信息向量和信息压缩矩阵,并给出了信息压缩矩阵分解变换的理论分析及其证明;在此基础上,提出了一种利用信息压缩矩阵交替变换提取相关信息的算法,论述了最优估计模型结构与阶次的判定准则,从而同时辨识分数阶系统时域模型的结构、阶次与参数;仿真研究表明,本文方法能够获得满意的辨识结果,具有良好的抑制噪声干扰能力;不仅能够准确地辨识系统模型的结构与阶次,而且能够辨识噪声模型的结构与阶次.
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  • 收稿日期:  2011-09-23
  • 修回日期:  2012-02-07
  • 刊出日期:  2012-08-20

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