• DocumentCode
    697135
  • Title

    Controlled safe sets for continuous time linear systems

  • Author

    Berardi, L. ; De Santis, E. ; Di Benedetto, M.D. ; Pola, G.

  • Author_Institution
    Dipt. di Ing. Elettr., Univ. of L´Aquila, L´Aquila, Italy
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    803
  • Lastpage
    808
  • Abstract
    We propose to approximate the maximal controlled invariant set contained in a given constraint set for a continuous-time linear system with a controlled safe set, i.e. a set of initial states such that the evolution of the system fulfills the constraints. A procedure is given for the selection of a sampling time and a control law such that, starting from a controlled invariant set for the exponential discretization of the continuous-time system, a controlled safe set for the continuous-time system can be constructed.
  • Keywords
    approximation theory; continuous time systems; linear systems; set theory; continuous time linear systems; control law; controlled safe sets; exponential discretization; initial state set; maximal controlled invariant set; sampling time selection; system evolution; Control systems; Linear systems; controlled invariant sets; linear systems; safe sets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7076009