• DocumentCode
    189020
  • Title

    Optimal control of drift-free invariant control systems on the group of motions of the minkowski plane

  • Author

    Barrett, Dennis I. ; Biggs, Rory ; Remsing, Claudiu C.

  • Author_Institution
    Dept. of Math., Rhodes Univ., Grahamstown, South Africa
  • fYear
    2014
  • fDate
    24-27 June 2014
  • Firstpage
    2466
  • Lastpage
    2471
  • Abstract
    We consider a class of invariant optimal control problems on the three-dimensional semi-Euclidean group. Specifically, we consider only drift-free left-invariant control affine systems and positive definite quadratic costs. The associated cost-extended systems are classified. Explicit expressions for the extremal controls of the corresponding optimal control problems are obtained.
  • Keywords
    invariance; motion control; optimal control; Minkowski plane; associated cost-extended systems; drift-free left-invariant control affine systems; explicit expressions; group of motions; optimal control; positive definite quadratic costs; three-dimensional semiEuclidean group; Equations; Optimal control; Periodic structures; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2014 European
  • Conference_Location
    Strasbourg
  • Print_ISBN
    978-3-9524269-1-3
  • Type

    conf

  • DOI
    10.1109/ECC.2014.6862313
  • Filename
    6862313
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=189020