• DocumentCode
    797718
  • Title

    On the design of linear systems with piecewise-constant feedback gains

  • Author

    Kleinman, David L. ; Fortmann, Thomas ; Athans, Michael

  • Author_Institution
    Bolt, Beranek and Newman, Cambridge, MA, USA
  • Volume
    13
  • Issue
    4
  • fYear
    1968
  • fDate
    8/1/1968 12:00:00 AM
  • Firstpage
    354
  • Lastpage
    361
  • Abstract
    This paper presents the theory and the computational algorithm required to determine the piecewise-constant feedback gains for the optimal control of a linear system with quadratic performance index over a finite control interval [t_{0} T] . A third order example illustrates the relation of the piecewise-constant gains to the truly optimal time-varying gains.
  • Keywords
    Linear systems, time-invariant continuous-time; Optimal control; Control systems; Costs; Design engineering; Helium; Linear feedback control systems; Linear systems; Optimal control; Regulators; Riccati equations; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098926
  • Filename
    1098926