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一种基于Pade近似的频域辨识与频域模型降阶新方法
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
作者姓名:王学雷  邵惠鹤
作者单位:上海交通大学,自动化研究所,上海,200030
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.

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
文章编号:1000-8152(2003)01-0054-05
收稿时间:2000-12-08
修稿时间:2002-01-09

New method of frequency-domain identification and model reduction based on Pade approximation
WANG Xue-lei,SHAO Hui-he. New method of frequency-domain identification and model reduction based on Pade approximation[J]. Control Theory & Applications, 2003, 20(1): 54-58
Authors:WANG Xue-lei  SHAO Hui-he
Affiliation:Institute of Automation, Shanghai Jiaotong University, Shanghai 200030,China
Abstract: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.
Keywords:frequency-domain identification   model reduction   integral least-squares index   Pade approximation   least-square method
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