Asymptotically exact H2 guaranteed cost computation by means of a special parameter-dependent Lyapunov function

被引：0
|
作者：
Oliveira, Ricardo C. L. F. [1 ]
de Oliveira, Mauricio C. [2 ]
Peres, Pedro L. D. [1 ]
Bliman, Pierre-Alexandre [3 ]
机构：
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, CP 6101, BR-13081970 Campinas, SP, Brazil
[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA
[3] Inst Natl Rech Informat & Automat, BP 105, F-78153 Le Chesnay, France
来源：
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年
基金：
巴西圣保罗研究基金会;
关键词：
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：
This paper deals with guaranteed H-2 norm computation for continuous-time uncertain linear systems in convex bounded domains. As main result, we show that a special choice for the parameter-dependent Gramian solution allows us to establish a convergent sequence of polynomially parameter-dependent linear matrix inequalities whose solutions are constant symmetric matrices parametrized in terms of an integer K. Then, we propose some linear matrix inequality relaxations to numerically compute the H-2 guaranteed cost and we investigate the trade off between accuracy of the results and computational effort.
引用
收藏
页码：5249 / +
页数：3
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