• DocumentCode
    803901
  • Title

    Elimination of the Two-Point Boundary-Value Problems in the Optimal Control of a Second-Order System

  • Author

    Lees, Leonard H.

  • Author_Institution
    Department of Electrical Engineering, University of Witwatersrand, Johannesburg, South Africa.
  • Issue
    3
  • fYear
    1972
  • Firstpage
    78
  • Lastpage
    81
  • Abstract
    The two-point boundary-value problem associated with Pontryagin´s maximum principle, when optimization is performed to minimize a quadratic cost function, is eliminated. It is replaced by two equations of known variables consisting of the system parameters, the optimizing period, and the weighting factors of the cost function.
  • Keywords
    Cost function; Dynamic programming; Eigenvalues and eigenfunctions; Helium; Laplace equations; Matrices; Optimal control; Optimization methods; Riccati equations; Stability;
  • fLanguage
    English
  • Journal_Title
    Industrial Electronics and Control Instrumentation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9421
  • Type

    jour

  • DOI
    10.1109/TIECI.1972.351115
  • Filename
    4158950