• DocumentCode
    2239658
  • Title

    Stabilization of infinitesimally rigid formations of multi-robot networks

  • Author

    Krick, Laura ; Broucke, Mireille E. ; Francis, Bruce A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
  • fYear
    2008
  • fDate
    9-11 Dec. 2008
  • Firstpage
    477
  • Lastpage
    482
  • Abstract
    This paper proposes a local gradient control law to stabilize a group of robots to a target formation. The control is derived from a potential function based on an undirected infinitesimally rigid graph that specifies the target formation. It is shown that infinitesimal rigidity is a sufficient condition for local asymptotical stability of the equilibrium manifold describing the target formation.
  • Keywords
    asymptotic stability; mobile robots; multi-robot systems; asymptotical stability; equilibrium manifold; infinitesimal rigidity; infinitesimally rigid formations; local gradient control law; multirobot networks; stabilization; target formation; undirected infinitesimally rigid graph; Asymptotic stability; Centralized control; Control systems; Distributed control; Graph theory; Hardware; Jacobian matrices; Robot kinematics; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
  • Conference_Location
    Cancun
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3123-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2008.4738760
  • Filename
    4738760