A Less Conservative LMI Condition for Robust D-Stability of Polynomial Matrix Polytopes-A Projection Approach

被引：11

作者：

Lee, Dong Hwan ^{[1
]}

Park, Jin Bae ^{[1
]}

Joo, Young Hoon ^{[2
]}

机构：

[1] Yonsei Univ, Dept Elect & Elect Engn, Seoul 120749, South Korea

[2] Kunsan Natl Univ, Dept Control & Robot Engn, Chonbuk 573701, South Korea

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 04期

关键词：

D-stability; linear matrix inequality (LMI); polynomial matrices; polytopic uncertainty; relaxation; LINEAR-SYSTEMS;

D O I：

10.1109/TAC.2010.2101673

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note investigates the problem of checking robust D-stability of a polytope of polynomial matrices. Finsler's projection lemma is taken to derive a new sufficient condition in terms of a linear matrix inequality (LMI) feasibility problem. The basic idea behind this condition is to lift the existing stability condition into the one of larger space by means of Finsler's lemma and, based on it, to introduce additional decision variables. Examples are given to show that the proposed condition can yield less conservative results than the previous one.

引用

页码：868 / 873

页数：6

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