LMI based robust stability conditions for linear uncertain systems: a numerical comparison

被引：0
|
作者：
de Oliveira, PJ [1 ]
Oliveira, RCLF [1 ]
Leite, VJS [1 ]
Montagner, VF [1 ]
Peres, PLD [1 ]
机构：
[1] Univ Estado Bahia, DCET, BR-41195000 Salvador, BA, Brazil
来源：
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | 2002年
关键词：
robust stability; parameter dependent Lyapunov function; polytopic uncertainty; linear matrix inequalities; quadratic stability;
D O I：
暂无
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, several numerical experiments are performed in order to compare three linear matrix inequalities based sufficient conditions for the robust stability of linear systems in polytopic domains. The conditions are the quadratic stability and two recently appeared robust stability conditions based on parameter dependent Lyapunov functions: one using extra variables and augmented equations and the other using a larger number of equations. From the examples, it is possible to infer about the conservativeness of the conditions and also about the cases in which an equivalence exists. Both continuous-time and discrete-time systems are investigated.
引用
收藏
页码：644 / 649
页数：6
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