• DocumentCode
    321168
  • Title

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

  • Author

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

  • Author_Institution
    Dept. of Chem. Eng., Abo Akad. Univ., Abo, Finland
  • Volume
    3
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    2061
  • Abstract
    A state-space solution to the H∞ control problem for periodic multirate systems is presented. The solution is based on the lifting method, where an equivalent time invariant system description is derived for the original periodic multirate problem. The H∞-optimal controller for the multirate system is expressed in terms of two algebraic Riccati equations. The so-called causality constraints are represented by a set of positive definiteness conditions and coupling criteria
  • Keywords
    H∞ control; Riccati equations; discrete time systems; periodic control; state-space methods; algebraic Riccati equations; coupling criteria; equivalent time invariant system description; lifting approach; periodic multirate H∞ control problem; positive definiteness conditions; state-space solution; Character generation; Control system synthesis; Control systems; Equations; Optimal control; Output feedback; Signal generators; State estimation; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.657070
  • Filename
    657070
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=321168