Static output feedback simultaneous stabilization: ILMI approach

被引：44

作者：

Cao, YY ^{[1
]}

Sun, YX ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Ind Proc Control, Hangzhou 310027, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1998年 / 70卷 / 05期

关键词：

D O I：

10.1080/002071798222145

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 note, the static output feedback simultaneous stabilization problem is addressed using a matrix inequality approach. A necessary and sufficient condition for simultaneous stabilizability of r proper MIMO plants via static output feedback is obtained. It is proven that the existence of a stabilizing feedback gain which simultaneously stabilizes this set of plants is equivalent to that of the solution of a set of coupled quadratic matrix inequalities. An iterative LMI (ILMI) algorithm based on the linear matrix inequality technique is proposed to obtain the feedback gain. Illustrated examples show its effectiveness.

引用

页码：803 / 814

页数：12

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