• DocumentCode
    2622400
  • Title

    H∞ preview control and fixed-lag smoothing II: fixed size ARE solutions in discrete-time systems

  • Author

    Tadmor, Gilead ; Mirkin, Leonid

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
  • Volume
    6
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    6521
  • Abstract
    H∞ preview control and fixed-lag smoothing problems are solved in general discrete time linear systems, via a reduction to an equivalent open loop differential games. To prevent high order Riccati equations, found in some solutions, the state of the Hamilton-Jacobi system (HJS) resides in a quotient space of an auxiliary extended state space system. The dimension of that auxiliary space is equal to the state space dimension of the original system (ignoring the delay).
  • Keywords
    H∞ control; discrete time systems; linear systems; predictive control; smoothing methods; state-space methods; H∞ preview control; Hamilton-Jacobi system; auxiliary extended state space system; discrete-time systems; fixed size ARE solutions; fixed-lag smoothing; linear systems; open loop differential games; Control systems; Cost function; Delay estimation; Delay systems; Filtering; Open loop systems; Riccati equations; Size control; Smoothing methods; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272403
  • Filename
    1272403
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2622400