• DocumentCode
    294509
  • Title

    H∞ state-feedback control of jump linear systems

  • Author

    Ait-Rami, M. ; El Ghaoui, L.

  • Author_Institution
    Ecole Nationale Superieure de Techniques Avancees, Paris, France
  • Volume
    1
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    951
  • Abstract
    The paper deals with the H∞ norm (or L2 gain) of a linear system subject to Markovian jumps. We show how to compute an upper bound on this quantity, and provide a robustness interpretation. We then show how to compute state-feedback control laws, both mode-dependent and mode-independent, ensuring mean-square stability and a given L2-gain bound. Our solutions are given in terms of convex optimization problems over linear matrix inequalities
  • Keywords
    H∞ control; linear systems; matrix algebra; optimisation; stability; state feedback; stochastic systems; H∞ control; L2 gain; Markovian jumps; convex optimization; jump linear systems; linear matrix inequality; mean-square stability; robustness; state-feedback; upper bound; Control systems; Control theory; Linear matrix inequalities; Linear systems; Mathematics; Riccati equations; Robust control; Robustness; Sufficient conditions; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.479108
  • Filename
    479108
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=294509