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] |
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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 |
New method of frequency-domain identification and model reduction based on Pade approximation |
摘要点击 2728 全文点击 2111 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 |
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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. |