• 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