• DocumentCode
    866145
  • Title

    Optimum control of linear systems with a "Modified" energy constraint

  • Author

    Nahi, N.E.

  • Author_Institution
    University of Southern California, Los Angeles, CA, USA
  • Volume
    9
  • Issue
    2
  • fYear
    1964
  • fDate
    4/1/1964 12:00:00 AM
  • Firstpage
    137
  • Lastpage
    143
  • Abstract
    Linear control processes are considered under the following optimization criteria: 1) minimization of the terminal error and 2) minimization of the required time ( T ) to reach a desirable state. The constraint on the control vector (u(t)) is considered to be \\int\\liminf {t_{j}} \\limsup {t_{j+1}} u\´(t)Qu(t)dt \\leq c_{j} j = 1, 2, ... m where Q is a positive definite matrix, and t_{j} < t < t_{j+1} represents any given interval contained in the interval 0< t< T , and cjcan be considered as the available energy during that interval. A condition of optimality has been obtained which can be used analytically. Furthermore, a numerical procedure is developed for determination of the optimum control vector.
  • Keywords
    Linear systems, time-varying continuous-time; Optimal control; Constraint optimization; Control systems; Controllability; Differential equations; Error correction; Government; Linear systems; Process control; State-space methods; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1964.1105662
  • Filename
    1105662
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=866145