• DocumentCode
    1425934
  • Title

    State-space solution to the periodic multirate H∞ control problem: a lifting approach

  • Author

    Sågfors, Mats F. ; Toivonen, Hannu T. ; Lennartson, Bengt

  • Author_Institution
    Dept. of Chem. Eng., Abo Akademi, Finland
  • Volume
    45
  • Issue
    12
  • fYear
    2000
  • fDate
    12/1/2000 12:00:00 AM
  • Firstpage
    2345
  • Lastpage
    2350
  • Abstract
    A two-Riccati equation solution to the H∞ control problem for periodic multirate systems is derived via the lifting method. The solution is expressed in terms of two algebraic Riccati equations. The causality constraints are represented by a set of positive definiteness conditions and coupling criteria. As a by-product, the study shows that there is a close connection between the solution of the causally constrained lifted problem and the solution obtained by solving the problem directly as a periodic H∞ problem defined for the multirate system
  • Keywords
    H∞ control; Riccati equations; multivariable control systems; periodic control; state-space methods; coupling criteria; lifting approach; periodic multirate H∞ control problem; positive definiteness conditions; state-space solution; two-Riccati-equation solution; Automatic control; Control systems; Feedback; Riccati equations; Signal generators; Signal processing; Time measurement; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.895571
  • Filename
    895571
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1425934