• DocumentCode
    2811624
  • Title

    On stabilizing with PID controllers

  • Author

    Saadaoui, Karim ; Ozguler, A.

  • Author_Institution
    LARA Autom., Tunis
  • fYear
    2007
  • fDate
    27-29 June 2007
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper we give an algorithm that determines the set of all stabilizing proportional-integral-derivative (PID) controllers that places the poles of the closed loop system in a desired stability region S. The algorithm is applicable to linear, time invariant, single-input single-output plants. The solution is based on a generalization of the Hermite-Biehler theorem applicable to polynomials with complex coefficients and the the application of a stabilizing gain algorithm to three auxiliary plants.
  • Keywords
    closed loop systems; polynomials; stability; three-term control; Hermite-Biehler theorem; PID controller stability; auxiliary plants; closed loop system; complex coefficients; linear plants; proportional-integral-derivative controllers; single-input single-output plants; time invariant plants; Automatic control; Closed loop systems; Control systems; Damping; Frequency domain analysis; Pi control; Polynomials; Proportional control; Stability; Three-term control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control & Automation, 2007. MED '07. Mediterranean Conference on
  • Conference_Location
    Athens
  • Print_ISBN
    978-1-4244-1282-2
  • Electronic_ISBN
    978-1-4244-1282-2
  • Type

    conf

  • DOI
    10.1109/MED.2007.4433823
  • Filename
    4433823