Infinite horizon H-two/H-infinity control for descriptor systems: Nash game approach

被引：4
|
作者：
Yan Z. [1 ,2 ]
Zhang G. [1 ]
Wang J. [1 ]
机构：
[1] School of Electrical Engineering and Automation, Tianjin University
[2] School of Electrical Engineering and Automation, Shandong Polytechnic University
来源：
Journal of Control Theory and Applications | 2012年 / 10卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Coupled algebraic Riccati equations; Descriptor system; H-two/H-infinity control; Iterative linear matrix inequality algorithm; Nash game approach;
D O I：
10.1007/s11768-012-0038-6
中图分类号：
学科分类号：
摘要：
This paper studies the infinite time horizon mixed H-two/H-infinity control problem for descriptor systems using Nash game approach. A necessary/sufficient condition for the existence of infinite horizon H-two/H-infinity control is presented in the form of two coupled algebraic Riccati equations, respectively. Finally, a suboptimal H-two/H-infinity controller design is given based on an iterative linear matrix inequality algorithm. © 2012 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：159 / 165
页数：6
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