A suboptimal LMI formulation for the H2 static output feedback control of hidden Markov jump linear systems

被引:0
|
作者
de Oliveira, A. M. [1 ,2 ,3 ]
Costa, O. L. V. [1 ]
Daafouz, Jamal [2 ,3 ]
机构
[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508010 Sao Paulo, SP, Brazil
[2] Univ Lorraine, CNRS, CRAN, F-54000 Nancy, France
[3] 2 Ave Foret Haye, F-54516 Vandoeuvre Les Nancy, France
基金
巴西圣保罗研究基金会;
关键词
H-INFINITY CONTROL;
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
In this work we study the synthesis of H-2 static output feedback controllers for Markov jump linear systems in a context of partial observation of the Markov chain. We consider a hidden Markov model in which the controller has no access to the Markov chain theta(k), but only to an observable process represented by (theta) over cap (k). We present a suboptimal condition based on the so-called two-stage procedure in order to design static output feedback controllers that depend only on (theta) over cap (k) such that the closed-loop system is stochastically stable and its H-2 norm is bounded by some given scalar gamma. Our results are given in terms of linear matrix inequalities and are illustrated by a numerical example in the context of systems subject to failures.
引用
收藏
页码:3095 / 3100
页数:6
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