基于平衡截断法的离散时间线性时滞系统的低频域模型降阶

杜鑫; 丁大伟

doi:10.16383/j.aas.2015.c150082

基于平衡截断法的离散时间线性时滞系统的低频域模型降阶

doi: 10.16383/j.aas.2015.c150082

杜鑫¹,
丁大伟^2, ,

1.
上海大学机电工程与自动化学院上海 200072;
2.
北京科技大学自动化学院北京 100083

基金项目:

国家自然科学基金(61304143, 61473032, 61104013), 北京市自然科学基金 (4153061), 教育部新世纪优秀人才计划(NCET-13-0662)

详细信息

作者简介:
杜鑫上海大学机电工程与自动化学院讲师. 主要研究方向为模型降阶, 模型补偿及降阶控制器设计. E-mail: duxin@shu.edu.cn

通讯作者:
丁大伟北京科技大学自动化学院副教授. 主要研究方向为鲁棒控制及滤波, 模糊系统, 模型降阶, 二维系统. 本文通信作者. E-mail: dingdawei@ustb.edu.cn

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- 文章访问数: 1910
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- PDF下载量: 1103
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出版历程
- 收稿日期: 2015-02-12
- 修回日期: 2015-06-13
- 刊出日期: 2015-10-20

Model Order Reduction of Linear Delay Systems over Low-frequency Ranges via Balanced Truncation Based Approach

DU Xin¹,
DING Da-Wei^{2
, ,}

1.
School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072;
2.
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083

Funds:

Supported by National Natural Science Foundation of China (61304143, 61473032, 61104013), Beijing Natural Science Foundation (4153061), Program for New Century Excellent Talents in University (NCET-13-0662)

摘要

摘要: 研究在系统工作频率范围为低频区间情形下的离散时间线性时滞系统模型降阶问题. 首先根据时滞系统在零频点处传递函数的性质, 构造了一类匹配其零频响应的带有可调参数的扩展线性时滞系统, 进而在其基础上结合已有的时滞系统平衡截断法给出了新的低频模型降阶算法. 通过调节其中的设计参数, 新方法所得降阶时滞系统模型能够以任意精度逼近原系统的零频响应特性, 进而可以用于改善低频范围内的模型逼近性能. 数值算例验证了所提方法的有效性和优越性.
- 模型降阶 /
- 平衡截断 /
- 时滞系统 /
- 低频
Abstract: This paper deals with model's order reduction of discrete-time linear delay systems over low frequency ranges. By introducing a class of parameterized linear systems matching the given delay system at zero frequency, a new balanced truncation based model reduction method is proposed. It is shown that the approximation error at zero frequency can be regulated to be arbitrarily small by scaling the design parameter. A numerical example is included to show the effectiveness and superiority of the proposed method.
- Model order reduction /
- balanced truncation /
- lin- ear delayed systems /
- low frequency

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参考文献(26)

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基于平衡截断法的离散时间线性时滞系统的低频域模型降阶

doi: 10.16383/j.aas.2015.c150082

作者简介:
杜鑫上海大学机电工程与自动化学院讲师. 主要研究方向为模型降阶, 模型补偿及降阶控制器设计. E-mail: duxin@shu.edu.cn

通讯作者:
丁大伟北京科技大学自动化学院副教授. 主要研究方向为鲁棒控制及滤波, 模糊系统, 模型降阶, 二维系统. 本文通信作者. E-mail: dingdawei@ustb.edu.cn

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Model Order Reduction of Linear Delay Systems over Low-frequency Ranges via Balanced Truncation Based Approach

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留言板

基于平衡截断法的离散时间线性时滞系统的低频域模型降阶

doi: 10.16383/j.aas.2015.c150082

作者简介: 杜鑫 上海大学机电工程与自动化学院讲师. 主要研究方向为模型降 阶, 模型补偿及降阶控制器设计. E-mail: duxin@shu.edu.cn

通讯作者: 丁大伟 北京科技大学自动化学院副教授. 主要研究方向为鲁棒控制及 滤波, 模糊系统, 模型降阶, 二维系统. 本文通信作者. E-mail: dingdawei@ustb.edu.cn

计量

出版历程

Model Order Reduction of Linear Delay Systems over Low-frequency Ranges via Balanced Truncation Based Approach

计量

出版历程

目录

作者简介:
杜鑫上海大学机电工程与自动化学院讲师. 主要研究方向为模型降阶, 模型补偿及降阶控制器设计. E-mail: duxin@shu.edu.cn

通讯作者:
丁大伟北京科技大学自动化学院副教授. 主要研究方向为鲁棒控制及滤波, 模糊系统, 模型降阶, 二维系统. 本文通信作者. E-mail: dingdawei@ustb.edu.cn