• DocumentCode
    700687
  • Title

    Direct factorization approach to H∞ control problem

  • Author

    Barabanov, Andrey E.

  • Author_Institution
    St.-Petersburg State Univ., St. Petersburg, Russia
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    1520
  • Lastpage
    1523
  • Abstract
    The algebraic formulae for the full information H∞ optimal compensator are presented in terms of the open-loop plant transfer functions. They admit a direct generalization to the infinite-dimensional case. The new approach proposed is based on the new results in the polynomial matrix factorization theory including the algebraic connection between a solution of the state-space Riccati equation and polynomial matrices of the plant equation.
  • Keywords
    H∞ control; Riccati equations; compensation; matrix decomposition; multidimensional systems; open loop systems; state-space methods; transfer functions; H∞ control problem; H∞ optimal compensator; algebraic connection; algebraic formulae; direct factorization approach; infinite-dimensional case; open-loop plant transfer function; plant equation; polynomial matrices; polynomial matrix factorization theory; state-space Riccati equation; Europe; Linear systems; Mathematical model; Polynomials; Process control; Symmetric matrices; Transfer functions; Ή∞/ℓ1 Polynomial approach;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082317
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=700687