• DocumentCode
    2484223
  • Title

    Linear Controllers are Uniformly Optimal for the Witsenhausen Counterexample

  • Author

    Rotkowitz, Michael

  • Author_Institution
    Res. Sch. of Inf. Sci. & Eng., The Australian Nat. Univ., Canberra, ACT
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    553
  • Lastpage
    558
  • Abstract
    In 1968, Witsenhausen introduced his celebrated counterexample, which illustrated that when an information pattern is nonclassical, the controllers which optimize an expected quadratic cost may be nonlinear. It is shown here that for the Witsenhausen counterexample, when one instead considers the induced norm, then linear controllers are in fact optimal
  • Keywords
    linear quadratic control; Witsenhausen counterexample; linear controllers; Centralized control; Control systems; Cost function; Gaussian noise; Noise figure; Optimal control; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377259
  • Filename
    4178054