• DocumentCode
    321316
  • Title

    A geometric approach to the l1 linear control problem

  • Author

    Dórea, Carlos E T ; Hennet, Jean-Claude

  • Author_Institution
    LAAS-CNRS, Toulouse, France
  • Volume
    2
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    1552
  • Abstract
    The l1 control problem is formulated for linear discrete-time systems subject to persistent bounded additive disturbances. Given an l1 performance bound, the problem is solvable if and only if the supremal controlled invariant domain with internal stability contained in the domain defined by the required performance is not empty. A decomposition scheme based on the geometric approach for linear control systems is proposed to construct an admissible domain and to check the existence of a solution
  • Keywords
    discrete time systems; geometry; linear systems; optimal control; stability; admissible domain; decomposition scheme; geometric approach; internal stability; l1 linear control problem; l1 performance bound; linear discrete-time systems; persistent bounded additive disturbances; supremal controlled invariant domain; Asymptotic stability; Control systems; Linear matrix inequalities; Matrix decomposition; Null space; Optimal control; State feedback; State-space methods; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.657705
  • Filename
    657705
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=321316