• DocumentCode
    3021486
  • Title

    Fixing the state-feedback gain by choice of closed-loop eigensystem

  • Author

    Verghese, George ; Kailath, T.

  • Author_Institution
    Stanford University, Stanford, CA
  • fYear
    1977
  • fDate
    7-9 Dec. 1977
  • Firstpage
    1245
  • Lastpage
    1248
  • Abstract
    The purpose of this short paper is to round out recent results in the literature on fixing the state-feedback gain by choice of closed-loop eigensystem. The constraints on attainable eigensystems and a formula for the feedback gain are derived in a direct manner, and interpreted using the idea of ´eigen-inputs´. The well-known formula for the feedback gain of an optimal quadratic regulator is re-examined in this light; using a polynomial-matrix-fraction, a matrix generalization of the scalar ´root-square characteristic equation´ is also obtained.
  • Keywords
    Feedback; Information systems; Laboratories; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, 1977 IEEE Conference on
  • Conference_Location
    New Orleans, LA, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1977.271760
  • Filename
    4046030