• DocumentCode
    3743457
  • Title

    Backstepping boundary control for semilinear parabolic PDEs

  • Author

    Agus Hasan

  • Author_Institution
    Department of Cybernetics Engineering, Norwegian University of Science and Technology, Norway
  • fYear
    2015
  • Firstpage
    2513
  • Lastpage
    2518
  • Abstract
    This paper presents an infinite-dimensional back-stepping for boundary stabilization of semilinear parabolic PDEs. The feedback control law is developed from the feedback control law obtained for the linear parabolic PDEs. The actuation is only at one end of the domain. We proved local H4 exponential stability of the closed-loop system based on construction of a strict Lyapunov function. The design is tested to boundary stabilization of the Fisher´s equation.
  • Keywords
    "Backstepping","Mathematical model","Control design","Boundary conditions","Kernel","Feedback control","Lyapunov methods"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7402594
  • Filename
    7402594
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3743457