• DocumentCode
    1708626
  • Title

    The geometrical approach to the l1-optimization problem

  • Author

    Barabanov, Andrey E. ; Sokolov, Andrey A.

  • Author_Institution
    St. Petersburg Univ., Russia
  • Volume
    4
  • fYear
    1994
  • Firstpage
    3143
  • Abstract
    A geometrical approach to solving the multivariable l1-optimization problem and the corresponding optimal stabilization problem for a MIMO linear stationary plant under l∞-bounded disturbances is outlined. The first advantage of the approach proposed is determined by the usual computational gain of the dynamic programming method: it reduces the number of different solutions to be compared. Secondly, it gives a visual interpretation of the structure of the optimal cost function of truncated problems and it gives bounds for the performance index
  • Keywords
    MIMO systems; dynamic programming; geometry; linear systems; stability; MIMO linear stationary plant; dynamic programming; geometrical approach; l∞-bounded disturbances; multivariable l1-optimization problem; optimal cost function; optimal stabilization problem; performance index; truncated problems; visual interpretation; Control systems; Convolution; Delay systems; Equations; Interpolation; Matrix converters; Performance analysis; Polynomials; Production;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411625
  • Filename
    411625
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1708626