• DocumentCode
    3551196
  • Title

    A necessary stabilization condition for PID control

  • Author

    Bajcinca, Naim

  • Author_Institution
    Inst. of Robotics & Mechatronics, Oberpfaffenhofen, Germany
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    4237
  • Abstract
    A necessary condition for the existence of a stable PID controller for a given plant is introduced. The derived rule is straightforward to check and applies generally for LTI systems, including time-continuous, time-discrete and time-delay systems. Therefore, the plot of a directly constructing function is checked for a required minimal number of real zeros.
  • Keywords
    continuous time systems; delay systems; discrete time systems; linear systems; stability; three-term control; zero assignment; LTI system; PID control; real zeros; stabilization condition; time-continuous system; time-delay system; time-discrete system; Control systems; Delay effects; Electrical equipment industry; Equations; Frequency; Industrial control; Polynomials; Robust control; Robustness; Three-term control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2005. Proceedings of the 2005
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-9098-9
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2005.1470644
  • Filename
    1470644