• DocumentCode
    1069351
  • Title

    The discrete-time Riccati equation related to the H∞ control problem

  • Author

    Stoorvogel, Anton A. ; Weeren, Arie J.T.M.

  • Author_Institution
    Dept. of Math., Eindhoven Univ. of Technol., Netherlands
  • Volume
    39
  • Issue
    3
  • fYear
    1994
  • fDate
    3/1/1994 12:00:00 AM
  • Firstpage
    686
  • Lastpage
    691
  • Abstract
    The H∞ control problem has been solved recently with the use of discrete-time algebraic Riccati equations. In this paper, we investigate this Riccati equation. We derive recursive methods to find the stabilizing solution of this Riccati equation. Moreover, we derive several properties of the class of positive semi-definite solutions of this equation.
  • Keywords
    feedback; matrix algebra; optimal control; stability; H∞ control; discrete-time Riccati equation; feedback; optimal control; positive semi-definite solutions; stability; stabilizing solution; Automatic control; Computer aided manufacturing; Control systems; Differential algebraic equations; Flexible manufacturing systems; Job shop scheduling; Manufacturing systems; Nonlinear equations; Production systems; Riccati equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.280789
  • Filename
    280789
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1069351