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.

引用

页码：1053 / 1061

页数：9

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