Output feedback decentralized stabilization: ILMI approach

被引:50
作者
Cao, YY [1 ]
Sun, YX [1 ]
Mao, WJ [1 ]
机构
[1] Zhejiang Univ, Inst Ind Proc Control, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
static output feedback; linear matrix inequality (LMI); quadratic matrix inequality (QMI); decentralized stabilization;
D O I
10.1016/S0167-6911(98)00050-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the static output feedback decentralized stabilization problem is addressed using a linear matrix inequality approach. A necessary and sufficient condition for static output feedback decentralized stabilizability is derived for linear time-invariant large-scale systems. It is proven that the existence of a stabilizing decentralized gain is equivalent to that of the solution of a quadratic matrix inequality. The extension of the result to H(infinity) control is studied. An iterative LMI algorithm based on the linear matrix inequality technique is proposed to obtain the decentralized feedback gain. Examples show the effectiveness of the algorithm. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:183 / 194
页数:12
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