Title :
A necessary stabilization condition for PID control
Author_Institution :
Inst. of Robotics & Mechatronics, Oberpfaffenhofen, Germany
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;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470644
