• DocumentCode
    2171030
  • Title

    Polynomial Riccati equations and H∞ control problem

  • Author

    Barabanov, Andrey E.

  • Author_Institution
    Fac. of Math. & Mech., St. Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    3357
  • Lastpage
    3363
  • Abstract
    A new algorithm to solve the ℋ∞ control problem in the case of full information was presented. It combines the spectral and matrix methods. The polynomial Riccati operator was introduced. Parametrization of all solutions of the controlled plant equation by latent variables was presented. The kernel of the polynomial Riccati operator for the optimal γ was decomposed into the direct sum of subspaces that are similar to the Jordan blocks.
  • Keywords
    H∞ control; Riccati equations; polynomial matrices; H∞ control problem; controlled plant equation; latent variables; matrix methods; polynomial Riccati equations; polynomial Riccati operator; spectral methods; Kernel; Mathematical model; Matrix decomposition; Polynomials; Riccati equations; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7068914
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2171030