Hybrid Differential Algorithm of Linear and Non-Linear Systems for PID Controller Optimization

Abstract

This paper presents the implementation of HDE algorithm for PID controller tuning for automatic voltage regulator systems so that more expeditious settling to rated voltage is ascertained and AVR is closed loop system compensated with a PID controller. In this paper two AVR examples are considered. In one plant saturation non-linearity is neglected and second plant saturation non-linearity is considered.  Hybrid Differential algorithm is habituated to tune the parameters of PID controller, to procure optimal solution. Optimal control parameters (proportional gain, integral gain, derivative gain) are obtained by minimizing the objective function ITAE (integral time absolute error). Simulations are done to show the performance of PID controlled AVR system tuned utilizing z-n method and differential evolutions are utilized.