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多输入多输出变量带误差模型的最坏情况频域辨识

耿立辉 崔世钢 赵丽

控制理论与应用2016,Vol.33Issue(10):1366-1372,7.
控制理论与应用2016,Vol.33Issue(10):1366-1372,7.DOI:10.7641/CTA.2016.15128

多输入多输出变量带误差模型的最坏情况频域辨识

Frequency-domain worst-case identification of multiple input multiple output errors-in-variables models

耿立辉 1崔世钢 1赵丽1

作者信息

  • 1. 天津职业技术师范大学自动化与电气工程学院天津市信息传感与智能控制重点实验室,天津300222
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摘要

Abstract

This paper extends a frequency-domain worst-case identification method for single input single output (SISO) errors-in-variables (EIV) models to its multiple input multiple output (MIMO) case. Similar to the SISO case, the identified model set for a MIMO EIV model is described by an estimated nominal system model and its worst-case error bound. The estimated nominal system model is characterized by a normalized right graph symbol and its worst-case error bound with possibly less conservativeness is quantified by the v-gap metric using a priori and a posteriori information on the EIV model. As a consequence, such model set is well suited to subsequent robust controller design via the H∞ loop-shaping method proposed by Vinnicombe. Finally, the proposed identification method is verified by a numerical simulation example.

关键词

最坏情况辨识/变量带误差(EIV)模型/多输入多输出(MIMO)/频域/v-gap度量

Key words

worst-case identification/errors-in-variables (EIV) models/multiple input multiple output (MIMO)/frequency-domain/v-gap metric

分类

自科综合

引用本文复制引用

耿立辉,崔世钢,赵丽..多输入多输出变量带误差模型的最坏情况频域辨识[J].控制理论与应用,2016,33(10):1366-1372,7.

基金项目

Supported by National Natural Science Foundation of China (61203119,61304153), Key Program of Tianjin Natural Science Foundation, China (14JCZDJC36300) and Tianjin University of Technology and Education Funded Project (RC14-48) (61203119,61304153)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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