• DocumentCode
    114975
  • Title

    Control of hyperbolic PDE systems with actuator dynamics

  • Author

    Burns, John A. ; Cliff, Eugene M.

  • Author_Institution
    Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    2864
  • Lastpage
    2869
  • Abstract
    In this paper we consider a boundary control problem for a class of hyperbolic PDEs that arise in the design and control of thermal fluid systems. We include the effects of actuator dynamics and show how one may formulate the problem so that the input operator is bounded. We prove that the system is well-posed in standard Hilbert spaces and present a rigorous numerical scheme for approximating control laws. Numerical results are given to illustrate the ideas.
  • Keywords
    Hilbert spaces; actuators; control system synthesis; heat exchangers; hyperbolic equations; partial differential equations; actuator dynamics; boundary control problem; control law approximation; hyperbolic PDE system control; standard Hilbert spaces; thermal fluid systems; Actuators; Approximation methods; Convergence; Equations; Optimal control; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7039829
  • Filename
    7039829