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一类具有时滞的不确定Lur'e系统的鲁棒H无穷输出反馈控制

Robust H(infinity) output feedback control for a class of uncertain Lur'e systems with time-delays.

作者信息

Cao Feng-wen, Lu Ren-quan, Su Hong-ye, Chu Jian

机构信息

Department of Computer and Electron, Suzhou Vocational University, Suzhou 215011, China.

出版信息

J Zhejiang Univ Sci. 2004 Sep;5(9):1114-23. doi: 10.1631/jzus.2004.1114.

Abstract

In this work, the analysis of robust stability and design of robust H infinity output feedback controllers for a class of Lur'e systems with both time-delays and parameter uncertainties were studied. A robust H infinity output feedback controller based on Linear Matrix Inequalities (LMIs) was developed to guarantee the robust stability and H infinity performance of the resultant closed-loop system. The presented design approach is based on the application of descriptor model transformation and Park's inequality for the bounding of cross terms and is expected to be less conservative compared to reported design methods. Finally, illustrative examples are advanced to demonstrate the superiority of the obtained method.

摘要

在这项工作中,研究了一类具有时滞和参数不确定性的Lur'e系统的鲁棒稳定性分析以及鲁棒H无穷输出反馈控制器的设计。基于线性矩阵不等式(LMI)开发了一种鲁棒H无穷输出反馈控制器,以确保所得闭环系统的鲁棒稳定性和H无穷性能。所提出的设计方法基于广义模型变换的应用以及用于交叉项界定的Park不等式,并且预计与已报道的设计方法相比保守性更低。最后,给出了示例以证明所获方法的优越性。

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