• DocumentCode
    3170550
  • Title

    Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs

  • Author

    Di Meglio, F. ; Vazquez, Rafael ; Krstic, Miroslav

  • Author_Institution
    Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    2914
  • Lastpage
    2919
  • Abstract
    We propose a full-state feedback law to stabilize linear first-order hyperbolic systems featuring n positive and one negative transport speeds on a finite space domain. Only one state, corresponding to the negative velocity, is actuated at the right boundary. The proposed controller guarantees convergence of the whole (n + 1)-state system to zero in the L2-sense.
  • Keywords
    asymptotic stability; control system synthesis; convergence; linear systems; partial differential equations; stability; state feedback; (n+1)-state system; L2-sense; boundary controlled transport PDE; convergence; finite space domain; full-state feedback law; linear first-order hyperbolic system stabilization; n counterconvecting PDE; negative transport speeds; positive transport speeds; Approximation methods; Backstepping; Boundary conditions; Couplings; Equations; Integral equations; Kernel;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426367
  • Filename
    6426367
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3170550