• DocumentCode
    487405
  • Title

    Stability Theory for Linear Time-Invariant Plants with Periodic Digital Controllers

  • Author

    Francis, Bruce A. ; Georgiou, Tryphon T.

  • Author_Institution
    Department of Electrical Engineering, University of Toronto, Toronto, Ontario, Canada M5S 1A4
  • fYear
    1988
  • fDate
    15-17 June 1988
  • Firstpage
    1225
  • Lastpage
    1231
  • Abstract
    This paper considers the control of a linear time-invariant plant by a digital controller composed of a sampler. a periodic discrete-time component, and a zero-order hold. The stability of such a configuration is analyzed in detail. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence. it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.
  • Keywords
    Circuits; Control systems; Difference equations; Digital control; Frequency domain analysis; Memory management; Robust control; Sampling methods; Stability analysis; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1988
  • Conference_Location
    Atlanta, Ga, USA
  • Type

    conf

  • Filename
    4789907