• DocumentCode
    1262034
  • Title

    On the H^{2} Two-Sided Model Matching Problem With Preview

  • Author

    Kristalny, Maxim ; Mirkin, Leonid

  • Author_Institution
    Dept. of Autom. Control, Lund Univ., Lund, Sweden
  • Volume
    57
  • Issue
    1
  • fYear
    2012
  • Firstpage
    204
  • Lastpage
    209
  • Abstract
    The H2 optimization problem with preview and asymptotic behavior constraints is considered in a general two-sided model matching setting. The solution is obtained in terms of two constrained Sylvester equations, associated with asymptotic behavior, and stabilizing solutions of two algebraic Riccati equations. The Riccati equations do not depend on the preview length, yet are affected by asymptotic behavior constraints and are thus different from the standard H2 Riccati equations arising in problems with no steady-state requirements or in one-sided problems.
  • Keywords
    H2 control; Riccati equations; optimisation; predictive control; H2 optimization problem; H2 two-sided model matching problem; Sylvester equations; algebraic Riccati equations; asymptotic behavior constraints; preview; Frequency domain analysis; Mathematical model; Optimization; Riccati equations; Suspensions; Transfer functions; ${H^{2}}$ optimization; model matching; preview control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2161053
  • Filename
    5936105