Design of Stabilizing Dynamic Output Feedback Controllers for Hidden Markov Jump Linear Systems

被引：9
作者：
de Oliveira, A. M. [1 ,2 ]
Costa, O. L. V. [1 ]
Daafouz, J. [2 ]
机构：
[1] Univ Sao Paulo, Dept Eng Telecomun & Controle, Escola Politecn, BR-05508010 Sao Paulo, SP, Brazil
[2] Univ Lorraine, CNRS, CRAN, F-54000 Nancy, France
来源：
IEEE CONTROL SYSTEMS LETTERS | 2018年 / 2卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Switched systems; Markov processes; LMIs;
D O I：
10.1109/LCSYS.2018.2829883
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 letter, we investigate the design of stabilizing dynamic output feedback controllers for Markov jump linear systems considering a context of partial information on the Markov chain. We assume that the mode of operation of the system is not available, but only an estimation provided by a detector in the spirit of hidden Markov models. We present new nonlinear matrix inequalities conditions for the design of stabilizing dynamic controllers that depend only on the estimation, and by means of some interesting properties of this new condition, we are able to provide a type of ad hoc separation procedure involving linear matrix inequalities in which the controller is obtained via a two-stage algorithm. First a stabilizing state feedback gain depending only on the estimation is calculated and used as an input in the second step for obtaining the remaining controller parameters. The final stabilizing controller is composed by both the state feedback gain of the first stage and the dynamic system calculated in the last stage. We present a numerical example in the context of systems subject to failures in order to illustrate our results.
引用
收藏
页码：278 / 283
页数：6
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