An LMI approach to positive real control for discrete time-delay systems

被引：0

作者：

Xu, Shengyuan ^{[1
]}

Lu, Junwei ^{[2
]}

Zhou, Shaosheng ^{[3
]}

Yang, Chengwu ^{[4
]}

机构：

[1] Department of Automation, Nanjing Univ. of Sci. and Technology

[2] Coll. of Elec./Electron. Eng., Nanjing Normal University, Nanjing 210042

[3] Institute of Automation, Qufu Normal University, Qufu

[4] 810 Division, School of Power Engineering, Nanjing Univ. of Sci. and Technology

来源：

IMA Journal of Mathematical Control and Information | 2004年 / 21卷 / 03期

关键词：

Discrete-delay systems; Linear matrix inequality (LMI); Output feedback; Positive real control;

D O I：

10.1093/imamci/21.3.261

中图分类号：

学科分类号：

摘要：

This paper focuses on the problem of positive real control for discrete time-delay systems. The problem we address is the design of a dynamic output feedback controller, which guarantees the asymptotic stability of the closed-loop system and achieves the extended strictly positive realness of a certain closed-loop transfer function. Then, a condition for extended strictly positive realness for discrete-delay systems is developed. Based on this, a sufficient condition for the existence of the desired controllers is proposed in terms of three linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit parametrization of the desired output feedback controller is presented. An illustrative example is given to demonstrate the applicability of the proposed approach. © Institute of Mathematics and its Applications 2004; all rights reserved.

引用

页码：261 / 273

页数：12

共 20 条

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