• DocumentCode
    560123
  • Title

    Dynamic programming and duality applied to an optimal control problem

  • Author

    Hill, Robin ; Schwerdtfeger, Uwe ; Baake, Michael ; Luo, Yousong

  • Author_Institution
    Sch. of Math. & Geospatial Sci., RMIT Univ., Melbourne, VIC, Australia
  • fYear
    2011
  • fDate
    10-11 Nov. 2011
  • Firstpage
    254
  • Lastpage
    259
  • Abstract
    The solution to a basic problem in time-invariant l1 optimal control is constructed in feedback form. Using ideas from dynamic programming and duality, we find the rule describing how, for optimal l1 regulation, the state at any time instant is to be mapped to the state at the next time instant. This mapping is a function of the state alone and, much like the optimal gain matrix for linear quadratic control, can be computed before system operation.
  • Keywords
    duality (mathematics); dynamic programming; linear quadratic control; matrix algebra; duality; dynamic programming; feedback form; linear quadratic control; optimal control problem; optimal gain matrix; optimal regulation; rule describing how; system operation; time-invariant optimal control; Dynamic programming; Equations; Optimal control; Optimization; Terminology; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Australian Control Conference (AUCC), 2011
  • Conference_Location
    Melbourne, VIC
  • Print_ISBN
    978-1-4244-9245-9
  • Type

    conf

  • Filename
    6114367
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=560123