DYNAMIC OUTPUT FEEDBACK CONTROL OF DISCRETE-TIME MARKOV JUMP LINEAR SYSTEMS THROUGH LINEAR MATRIX INEQUALITIES

被引：81

作者：

Geromel, Jose C. ^{[1
]}

Goncalves, Alim P. C. ^{[1
]}

Fioravanti, Andre R. ^{[2
]}

机构：

[1] Univ Estadual Campinas, DSCE, Sch Elect & Comp Engn, BR-13081970 Campinas, SP, Brazil

[2] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2009年 / 48卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

linear systems; discrete-time systems; stochastic systems; Markov jump linear systems; linear matrix inequalities; STABILITY; STATE; H-2-CONTROL; PARAMETERS;

D O I：

10.1137/080715494

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 addresses the H-2 and H-infinity dynamic output feedback control design problems of discrete-time Markov jump linear systems. Under the mode-dependent assumption, which means that the Markov parameters are available for feedback, the main contribution is the complete characterization of all full order proper Markov jump linear controllers such that the H2 or H-infinity norm of the closed loop system remains bounded by a given prespecified level, yielding the global solution to the corresponding mode-dependent optimal control design problem, expressed in terms of pure linear matrix inequalities. Some academic examples are solved for illustration and comparison. As a more consequent practical application, the networked control of a vehicle platoon using measurement signals transmitted in a Markov channel, as initially proposed in [P. Seiler and R. Sengupta, IEEE Trans. Automat. Control, 50 (2005), pp. 356-364], is considered.

引用

页码：573 / 593

页数：21

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