H∞ guaranteed cost computation by means of parameter-dependent Lyapunov functions

被引：80
作者：
de Oliveira, PJ
Oliveira, RCLF
Leite, VJS
Montagner, VF
Peres, PLD
机构：
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Dept Telemat, DT,FECC,UNICAMP,CP 6101, BR-13081970 Campinas, SP, Brazil
[2] Univ Estado Bahia, DCET, BR-41195001 Salvador, BA, Brazil
[3] CEFET MG, UnED Divinopolis, BR-31935502 Divinopolis, MG, Brazil
来源：
AUTOMATICA | 2004年 / 40卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
robust stability; guaranteed-cost; H-infinity optimization; uncertain linear systems; linear matrix inequality; parameter-dependent Lyapunov functions;
D O I：
10.1016/j.automatica.2004.01.025
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 linear matrix inequality approach to compute H (infinity) guaranteed costs by means of parameter-dependent Lyapunov functions is presented in this paper. The uncertain linear time-invariant systems are supposed to belong to convex bounded domains (polytope-type uncertainty). The conditions proposed are less conservative than other parameter-dependent based method!; from the literature, providing better estimates of worst-case H-infinity norms, in both continuous- and discrete-time systems, as illustrated by means of numerical examples. (C) 2004 Elsevier Ltd. All rights reserved.
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收藏
页码：1053 / 1061
页数：9
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