Stability Region Analysis of PID and Series Leading Correction PID Controllers for the Time Delay Systems

摘要

This paper describes the stability regions of PID (Proportional +Integral+ Derivative) and a new PID with series leading correction (SLC) for Networked control system with time delay. The new PID controller has a tuning parameter ?. The relation between , KP, KI and KD is derived. The effect of plant parameters on stability region of PID controllers and SLC-PID controllers in first-order and second-order systems with time delay are also studied. Finally, an open-loop zero was inserted into the plant-unstable second order system with time delay so that the stability regions of PID and SLC-PID controllers get effectively enlarged. The total system is implemented using MATLAB/Simulink.