An improved LMI condition for robust D-stability of uncertain polytopic systems

被引：152
|
作者：
Leite, VJS [1 ]
Peres, PLD
机构：
[1] CEFET MG, UnED Divinopolis, BR-35502036 Divinopolis, MG, Brazil
[2] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13081970 Campinas, SP, Brazil
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 03期
关键词：
linear matrix inequalities (LMIs); parameter-dependent Lyapunov functions; parametric uncertainty; polytopic uncertainty; robust stability;
D O I：
10.1109/TAC.2003.809167
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 condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter-dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) defined at the vertices of the polytope. This improved LMI condition encompasses previous results based on additional inequalities, as well as results based on extra variables.
引用
收藏
页码：500 / 504
页数：5
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