An LMI condition for robust stability of polynomial matrix polytopes

被引：37
|
作者：
Henrion, D
Arzelier, D
Peaucelle, D
Sebek, M
机构：
[1] CNRS, Lab Anal & Architecture Syst, F-31077 Toulouse 4, France
[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic
[3] Czech Tech Univ, Fac Elect Engn, Dept Control Engn, Prague 16627 6, Czech Republic
来源：
AUTOMATICA | 2001年 / 37卷 / 03期
关键词：
polynomial methods; uncertain polynomials; robust stability; quadratic stability; convex programming;
D O I：
10.1016/S0005-1098(00)00170-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A sufficient LMI condition is proposed for checking robust stability of a polytope of polynomial matrices. It hinges upon two recent results: a new approach to polynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows significantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：461 / 468
页数：8
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