• DocumentCode
    1108459
  • Title

    Optimal control via Fourier series of operational matrix of integration

  • Author

    Endow, Y.

  • Author_Institution
    Dept. of Ind. Eng., Chou Univ., Tokyo, Japan
  • Volume
    34
  • Issue
    7
  • fYear
    1989
  • fDate
    7/1/1989 12:00:00 AM
  • Firstpage
    770
  • Lastpage
    773
  • Abstract
    The state equations of an optimal regulator problem are given in terms of the truncated Fourier series and the associated operational matrix of integration. An effective computational algorithm is developed to calculate the expansion coefficients of the derivatives of state variables for saving computer storage and time and minimizing the computational error. An illustrative example is given, and satisfactory computational results are obtained
  • Keywords
    integration; matrix algebra; optimal control; series (mathematics); Fourier series; computational error; expansion coefficients; integration; operational matrix; optimal control; optimal regulator problem; state equations; Algebra; Control systems; Equations; Feedback control; Fourier series; Matrices; Nonlinear control systems; Nonlinear systems; Optimal control; Stress control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.29410
  • Filename
    29410
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1108459