DocumentCode
1051118
Title
On Necessary and Sufficient Conditions for H∞ Output Feedback Control of Markov Jump Linear Systems
Author
Li, Li ; Ugrinovskii, Valery A.
Author_Institution
Melbourne Univ., Melbourne
Volume
52
Issue
7
fYear
2007
fDate
7/1/2007 12:00:00 AM
Firstpage
1287
Lastpage
1292
Abstract
This note addresses the output feedback Hinfin control problem for continuous-time Markov jump linear systems. It is shown that the feasibility of a certain set of linear matrix inequalities is both sufficient and necessary for the existence of a solution. Under standard assumptions, we also give a Riccati-type sufficient and necessary condition for an Hinfin-suboptimal controller to exist.
Keywords
Hinfin control; Markov processes; continuous time systems; feedback; linear matrix inequalities; linear systems; Hinfin output feedback control; Markov jump linear systems; continuous-time linear systems; linear matrix inequalities; optimal controller; Australia; Control systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Mathematical model; Output feedback; Power system dynamics; Riccati equations; Sufficient conditions; $H_{infty}$ control; Markov jump systems; linear matrix inequalities; output feedback;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.900832
Filename
4268381
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