• DocumentCode
    819696
  • Title

    Design of piecewise constant gains for optimal control via Walsh functions

  • Author

    Chen, Chih-Fan ; Chi-Huang Hsiao

  • Author_Institution
    University of Houston, Houston, Texas
  • Volume
    20
  • Issue
    5
  • fYear
    1975
  • fDate
    10/1/1975 12:00:00 AM
  • Firstpage
    596
  • Lastpage
    603
  • Abstract
    This paper presents a technique for determinating time-varying feedback gains of linear systems with quadratic performance criteria. The gains are approximated by the piecewise constants which axe naturally determined by Walsh functions. After introducing Walsh functions in the beginning we develop an operational matrix for solving state equations. Then using the operational matrix we solve the piecewise constant gains problem.
  • Keywords
    Linear systems, time-invariant continuous-time; Linear systems, time-varying continuous-time; Optimal control; Walsh functions; Calculus; Control systems; Equations; Feedback; Fourier series; Linear systems; Optimal control; Performance gain; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1101057
  • Filename
    1101057