An LMI condition for the robust stability of uncertain continuous-time linear systems

被引：148
|
作者：
Ramos, DCW [1 ]
Peres, PLD
机构：
[1] GME, EMBRAER PC 392, BR-12227901 Sao Jose Dos Campos, SP, Brazil
[2] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13081970 Campinas, SP, Brazil
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 04期
关键词：
linear matrix inequalities (LMls); linear uncertain systems; parameter dependent Lyapunov functions; robust stability; time-invariant uncertain parameters;
D O I：
10.1109/9.995048
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 new sufficient condition for the robust stability of continuous-time uncertain linear systems with convex bounded uncertainties is proposed in this note. The results are based on linear matrix inequalities (LMIs) formulated at the vertices of the uncertainty polytope, which provide a parameter dependent Lyapunov function that assures the stability of any matrix inside the uncertainty domain. With the aid of numerical procedures based on unidimensional search and the LMIs feasibility tests, a simple and constructive way to compute robust stability domains can be established.
引用
收藏
页码：675 / 678
页数：4
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