A Novel Delta-Rule Approach For the Design Of PID Controllers to Stabilize Linear Time Invariant Continuous Systems

This paper presents a systematic delta-rule approach for tuning the parameters of a PID controller during design phase. A suitable second order approximant of the given higher order Linear Time Invariant Continuous system is considered for determining a possible set of the Proportional (K), Integral (K1) and Derivative (K) factors of the required PID controller. For stabilization, Overshoot, Settling Time and Steady state error are taken as the design criterion in the Time domain to adjust the values of K. Kand K. The controller designed for the Second order approximant is cascaded with the given higher order system to validate the stabilization process. The proposed design methodology is illustrated with transfer functions of selected plants taken from the literature.