• DocumentCode
    1406458
  • Title

    Optimal Control of Self-Adjoint Systems

  • Author

    Athans, Michael ; Falb, P.L. ; Lacoss, R.T.

  • Author_Institution
    Massachusetts Intitute of Tehnoogy Lincoln Laboratory, Lexington, Mass.
  • Volume
    83
  • Issue
    72
  • fYear
    1964
  • fDate
    5/1/1964 12:00:00 AM
  • Firstpage
    161
  • Lastpage
    166
  • Abstract
    Given the system x¿(t)=A(t)x(t)+u(t),where A(t)=¿A¿(t) and ¿u(t)¿¿1, it will be shown that the control u=¿x(t)/¿x(t)¿ drives any initial state to zero in such a manner that the response time, the consumed fuel, and a linear combination of time and control energy are minnimized. The theory is applied to the optimum angular velocity cotrol of a tumbling space body.
  • Keywords
    Automatic control; Costs; Equations; Feeds; Laboratories; Machining; Metalworking machines; Milling; Optimal control; Surface finishing;
  • fLanguage
    English
  • Journal_Title
    Applications and Industry, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0536-1524
  • Type

    jour

  • DOI
    10.1109/TAI.1964.5407784
  • Filename
    5407784
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1406458