• DocumentCode
    1365392
  • Title

    Continuous finite-time stabilization of the translational and rotational double integrators

  • Author

    Bhat, Sanjay P. ; Bernstein, Dennis S.

  • Author_Institution
    Dept. of Aerosp. Eng., Indian Inst. of Technol., Mumbai, India
  • Volume
    43
  • Issue
    5
  • fYear
    1998
  • fDate
    5/1/1998 12:00:00 AM
  • Firstpage
    678
  • Lastpage
    682
  • Abstract
    A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator. Lyapunov theory is used to prove finite-time convergence. For the rotational double integrator, these controllers are modified to obtain finite-time-stabilizing feedback that avoid “unwinding”
  • Keywords
    Lyapunov methods; closed loop systems; continuous time systems; control system analysis; convergence; dynamics; feedback; robust control; Lyapunov theory; closed loop systems; continuous time systems; convergence; double integrators; feedback; finite-time stabilization; nonLipschitzian dynamics; stability; Adaptive control; Aerodynamics; Automatic control; Control systems; Cost function; Feedback; Lighting control; Linear systems; Open loop systems; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.668834
  • Filename
    668834