引用本文:王学雷, 邵惠鹤.一种基于Pade近似的频域辨识与频域模型降阶新方法[J].控制理论与应用,2003,20(1):54~58.[点击复制]
WANG Xue-lei, SHAO Hui-he.New method of frequency-domain identification and model reduction based on Pade approximation[J].Control Theory and Technology,2003,20(1):54~58.[点击复制]
一种基于Pade近似的频域辨识与频域模型降阶新方法
New method of frequency-domain identification and model reduction based on Pade approximation
摘要点击 2817  全文点击 2170  投稿时间:2000-12-08  修订日期:2002-01-09
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DOI编号  10.7641/j.issn.1000-8152.2003.1.011
  2003,20(1):54-58
中文关键词  频域辨识  模型降阶  积分最小二乘指标  Pade近似  最小二乘法
英文关键词  frequency-domain identification  model reduction  integral least-squares index  Pade approximation  least-square method
基金项目  
作者单位E-mail
王学雷, 邵惠鹤 上海交通大学 自动化研究所,上海 200030 xlwang98@263.net 
中文摘要
      研究了基于积分最小二乘指标的SISO时滞系统频域辨识与频域模型降阶问题.通过采用Pade近似,将积分最小二乘指标推广到可以处理时滞系统的情形.深入分析了Pade近似所引入误差,揭示了采用Pade近似的可行性与有效性.所提出的方法能够用最小二乘类算法高效求解,无须困难的非线性优化.仿真验证了所提出方法的有效性.
英文摘要
      Based on the integral least-squares index, a new approach to frequency-domain identification and model reduction of SISO systems with delay is proposed. With the adoption of Pade approximation, the integral least-squares index is extended to the case of systems with delay. Through error analysis, the feasibility and effectiveness of Pade approximation is shown. The least-squares style algorithm can be applied in the method and troublesome nonlinear optimization is avoided. Illustrative simulations are offered to verify the effectiveness of proposed scheme.