Robust H_∞ Control for Uncertain Singularly Perturbed Systems with Time-delay

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• 英文论文题名：Robust H_∞ Control for Uncertain Singularly Perturbed Systems with Time-delay
• 论文作者：LIU Lei ; LU Shaoying ; HAN Cunwu ; CAO Jing
• 英文论文作者：LIU Lei ; LU Shaoying ; HAN Cunwu ; CAO Jing ; Beijing Key Laboratory of Fieldbus Technology and Automation ; North China University of Technology
• 年：2017
• 作者机构：Beijing Key Laboratory of Fieldbus Technology and Automation,North China University of Technology;
• 英文论文关键词：Singularly perturbed system ; parameter uncertainty ; robust H∞ control ; LMI
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：TP273
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：284k
• 原文格式：D
• 会议级别：全国

摘要

In this paper, we study the problem of robust H_∞ control for a class of the time-delay singularly perturbed systems with norm-bounded parameters and uncertain parameters. The sufficient conditions for the existence of H_∞ robust controllers are given based on the matrix inequality, so that the closed-loop system is robust to all admissible uncertainties and satisfies H_∞performance index. Furthermore, the controller design method is presented in the form of LMI for the case where the controller has an additive uncertainty. Finally, one example is given to illustrate the correctness of the results.
In this paper, we study the problem of robust H_∞ control for a class of the time-delay singularly perturbed systems with norm-bounded parameters and uncertain parameters. The sufficient conditions for the existence of H_∞ robust controllers are given based on the matrix inequality, so that the closed-loop system is robust to all admissible uncertainties and satisfies H_∞performance index. Furthermore, the controller design method is presented in the form of LMI for the case where the controller has an additive uncertainty. Finally, one example is given to illustrate the correctness of the results.

引文

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