• DocumentCode
    3283991
  • Title

    Semidiscrete approximation and renorming in control of distributed parameter systems

  • Author

    Fabiano, R.H.

  • Author_Institution
    Dept. of Math. & Stat., Univ. of North Carolina at Greensboro, Greensboro, NC, USA
  • fYear
    2010
  • fDate
    June 30 2010-July 2 2010
  • Firstpage
    4887
  • Lastpage
    4892
  • Abstract
    We consider finite dimensional semidiscrete approximation of an LQR control problem with dynamics governed by a distributed parameter system. We investigate how changing the norm on the state space affects the resulting finite dimensional control problem. Numerical results are given for examples in delay equations and elastic structures.
  • Keywords
    approximation theory; delays; discrete systems; distributed parameter systems; linear quadratic control; multidimensional systems; LQR control problem; delay equation; distributed parameter system; elastic structure; finite dimensional semidiscrete approximation; Control systems; Cost function; Delay; Distributed control; Distributed parameter systems; Eigenvalues and eigenfunctions; Hilbert space; Riccati equations; State-space methods; Time of arrival estimation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2010
  • Conference_Location
    Baltimore, MD
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4244-7426-4
  • Type

    conf

  • DOI
    10.1109/ACC.2010.5530917
  • Filename
    5530917