• DocumentCode
    2627590
  • Title

    Optimal control subsumes harmonic control

  • Author

    Boumaza, Amine ; Scherrer, Bruno

  • Author_Institution
    LORIA Campus Scientifique, Vandoeuvre-les-Nancy
  • fYear
    2007
  • fDate
    10-14 April 2007
  • Firstpage
    2841
  • Lastpage
    2846
  • Abstract
    We consider trajectory planning within the frameworks of optimal control and harmonic control. We present a formal evidence, in the continuous domain and in a standard discretization, that harmonic control is the limit case of some optimal control problem in which we make the noise level tend to infinity. In other words we show that optimal control subsumes harmonic control. We discuss properties of both paradigms and present simulations that illustrate this relationship.
  • Keywords
    harmonic analysis; optimal control; position control; harmonic control; optimal control; trajectory planning; Automatic control; Finite difference methods; H infinity control; Harmonic analysis; Laplace equations; Learning; Noise level; Optimal control; Robotics and automation; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Robotics and Automation, 2007 IEEE International Conference on
  • Conference_Location
    Roma
  • ISSN
    1050-4729
  • Print_ISBN
    1-4244-0601-3
  • Electronic_ISBN
    1050-4729
  • Type

    conf

  • DOI
    10.1109/ROBOT.2007.363902
  • Filename
    4209520