• DocumentCode
    1322369
  • Title

    A geometric theory for derivative feedback

  • Author

    Lewis, F.L. ; Syrmos, V.L.

  • Author_Institution
    Autom. & Robotics Res. Inst., Texas Univ. at Arlington, Forth Worth, TX, USA
  • Volume
    36
  • Issue
    9
  • fYear
    1991
  • fDate
    9/1/1991 12:00:00 AM
  • Firstpage
    1111
  • Lastpage
    1116
  • Abstract
    The authors use a singular system setting to provide a geometric theory for dynamical systems under derivative feedback. They define the relevant subspace and provide computational design techniques in terms of a generalized Sylvester or Lyapunov equation for which efficient solution techniques are well-known. The authors provide both geometric and algebraic characterizations of the effects of derivative feedback, drawing connections with previous work in state-variable systems as well as extending that work to singular systems
  • Keywords
    algebra; closed loop systems; control system synthesis; feedback; geometry; Lyapunov equation; Sylvester equation; algebraic characterizations; computational design techniques; control system synthesis; derivative feedback; dynamical systems; geometric theory; singular system; Control design; Control theory; Equations; Output feedback; Robotics and automation; State feedback; Three-term control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.83551
  • Filename
    83551