A new robust D-stability condition for real convex polytopic uncertainty

被引：559

作者：

Peaucelle, D ^{[1
]}

Arzelier, D ^{[1
]}

Bachelier, O ^{[1
]}

Bernussou, J ^{[1
]}

机构：

[1] CNRS, LAAS, F-31077 Toulouse, France

来源：

SYSTEMS & CONTROL LETTERS | 2000年 / 40卷 / 01期

关键词：

robust stability; quadratic stability; parametric uncertainty; LMJ; parameter-dependent Lyapunov functions;

D O I：

10.1016/S0167-6911(99)00119-X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of robust D-stability analysis with respect to real convex polytopic uncertainties is tackled. A new LMJ-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed. This condition generalises previously published conditions. Numerical comparisons with quadratic stability results as well as previous results based on parameter-dependent Lyapunov functions illustrate the relevance of this new condition. Finally, this result appears to be promising for robust multi-objective performance analysis and control synthesis purposes. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：21 / 30

页数：10

共 21 条

[1]

Bachelier O, 1999, INT J ROBUST NONLIN, V9, P333, DOI 10.1002/(SICI)1099-1239(199905)9:6<333::AID-RNC408>3.0.CO

[2]

2-7

[3] A SURVEY OF EXTREME POINT RESULTS FOR ROBUSTNESS OF CONTROL-SYSTEMS [J].