• DocumentCode
    1210927
  • Title

    Necessary and sufficient graphical conditions for formation control of unicycles

  • Author

    Zhiyun Lin ; Francis, B. ; Maggiore, M.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Toronto, Ont., Canada
  • Volume
    50
  • Issue
    1
  • fYear
    2005
  • Firstpage
    121
  • Lastpage
    127
  • Abstract
    The feasibility problem is studied of achieving a specified formation among a group of autonomous unicycles by local distributed control. The directed graph defined by the information flow plays a key role. It is proved that formation stabilization to a point is feasible if and only if the sensor digraph has a globally reachable node. A similar result is given for formation stabilization to a line and to more general geometric arrangements.
  • Keywords
    directed graphs; distributed control; mobile robots; multi-robot systems; stability; formation stabilization; globally reachable node; local distributed control; sensor digraph; unicycle formation control; Adaptive control; Automatic control; Control systems; Nonlinear control systems; Nonlinear systems; Output feedback; Polynomials; Robotics and automation; Robust control; Robustness; Distributed control; multiagent system; nonholonomic mobile robots;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.841121
  • Filename
    1381658