• DocumentCode
    812271
  • Title

    Computation of optimal controls using a piecewise polynomial parameterization

  • Author

    Sirisena, H.R.

  • Author_Institution
    University of Cantebury, Christchurch, New Zealand
  • Volume
    18
  • Issue
    4
  • fYear
    1973
  • fDate
    8/1/1973 12:00:00 AM
  • Firstpage
    409
  • Lastpage
    411
  • Abstract
    A class of optimal control problems is treated. The mathematical programming approach is used by employing a special piecewise polynomial parameterization of the control profile. A method for evaluating the gradient of the cost with respect to the various parameters is developed; this enables the optimal values of the parameters to be determined by minimizing the cost through a gradient search method. The algorithm is illustrated by a computed example.
  • Keywords
    Nonlinear systems, continuous-time; Optimal control; Piecewise-polynomial approximation; Control systems; Cost function; Mathematical programming; Nonlinear control systems; Optimal control; Optimization methods; Performance analysis; Polynomials; Search methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100329
  • Filename
    1100329