Fractional Order Modeling and GA Based Tuning for Analog Realization with Lossy Capacitors of a PID Controller

Abstract

In this paper, first it has been studied how the performance of a PID controller deteriorates when implemented with lossy capacitors in its analog realization. Thereafter it has been shown that the lossy capacitors can be effectively modeled by fractional order terms. Finally, a novel GA based method has been proposed to tune the controller parameters such that the original performance is retained even though realized with the same lossy capacitors. Simulation results have been presented to validate the usefulness of the technique.