• DocumentCode
    1355665
  • Title

    On the linear quadratic minimum-time problem

  • Author

    Verriest, E.I. ; Lewis, F.L.

  • Author_Institution
    Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    36
  • Issue
    7
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    859
  • Lastpage
    863
  • Abstract
    A nontraditional minimum-time problem that includes quadratic-state and control-weighting terms in the performance index is investigated. This formulation provides a convenient solution to the problem that uses the solution of the Riccati equation to compute the optimal feedback gain and the optimal time. In some cases the latter is simply found using the derivative of the Riccati equation solution
  • Keywords
    feedback; optimal control; performance index; Riccati equation; control-weighting; feedback gain; linear quadratic minimum-time problem; optimal control; performance index; quadratic-state; Automatic control; Bang-bang control; Control systems; Parameter estimation; Poles and zeros; Riccati equations; Robotics and automation; Signal processing algorithms; State feedback; Tuning;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.85066
  • Filename
    85066