A necessary stabilization condition for PID control

N. Bajcinca
Proceedings of the 2005, American Control Conference, 2005.  
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 timedelay systems. Therefore the plot of a directly constructible function is checked for a required minimal number of real zeros.
doi:10.1109/acc.2005.1470644 fatcat:hsn724ke7veqzhgh24e7bqrvlm