• DocumentCode
    391253
  • Title

    Stabilization of a tank via output feedback

  • Author

    Prieur, Christophe ; De Halleux, Jonathan

  • Author_Institution
    Lab. d´´Analyse Numerique et EDP, Univ. de Paris-Sud, Orsay, France
  • Volume
    2
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    1497
  • Abstract
    We consider a tank containing fluid. The tank is subjected to a one-dimensional horizontal move and the motion of the fluid is described by shallow water equations. By means of a Lyapunov approach, we deduce the control laws to stabilize the state of the fluid-tank system. The control law is an output feedback where the output is given by the trajectory of the tank and the level of the fluid at the boundary of the tank. Although global asymptotic stability is yet to be proved, we numerically simulate the system and observe the stabilization.
  • Keywords
    Lyapunov methods; asymptotic stability; feedback; flow control; nonlinear systems; Lyapunov method; global asymptotic stability; incompressible fluid; output feedback; shallow water equations; stabilization; tank; tracking; Acceleration; Asymptotic stability; Control systems; Fluid dynamics; Force control; Lyapunov method; Nonlinear equations; Numerical simulation; Output feedback; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184731
  • Filename
    1184731