• DocumentCode
    1743473
  • Title

    H∞ control for continuous-time linear systems with infinite Markov jump parameters via semigroup

  • Author

    Fragoso, Marcelo D. ; Nascimento, Eulina C S ; Baczynski, Jack

  • Author_Institution
    LNC/CCNPq, Rio de Janeiro, Brazil
  • Volume
    2
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    1160
  • Abstract
    We examine the H∞ control problem for a class of continuous time linear systems subject to Markovian jumps in the parameters (LSMJP). We extend the results in De Souza and Fragoso (1993) in two directions: we give necessary and sufficient conditions for the existence of a feedback controller which stochastically stabilizes the LSMJP and ensures that a certain L2 induced norm be less than a prespecified value. In addition, we consider the case in which the state-space of the Markov chain takes value in a countably infinity set. The solution here is given in terms of a countably infinite set of coupled algebraic Riccati equations
  • Keywords
    H∞ control; Markov processes; Riccati equations; continuous time systems; feedback; group theory; linear systems; stability; H∞ control; L2 induced norm; Markov chain; continuous-time linear systems; coupled algebraic Riccati equations; feedback controller; infinite Markov jump parameters; necessary and sufficient conditions; semigroup; stochastic stability; Control systems; Fault tolerant systems; Feedback; H infinity control; Lifting equipment; Linear systems; Riccati equations; State-space methods; Stochastic processes; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.912011
  • Filename
    912011
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1743473