Optimal Tuning of Fractional Order PID controller using Nelder-Mead Algorithm for DC Motor Speed Control

Abstract

This paper is about the study of tuning of Fractional Order PID (proportional, derivative and integral) controller using the Nelder-Mead algorithm for a separately excited DC motor's speed control. The parameters of the fractional order PID controller were determined via N elder-Mead algorithm by using the Integral Time Square Error (ITSE) as the objective function. To demonstrate the superior execution of the proposed approach, it has been compared with the Grey Wolf Optimization (GWO) based FOPID controller with the same DC speed control parameters. It has been noticed that when compared with the GWO based FOPID controller, the suggested technique with the ITSE as the objective function offers a settling time reduction of 64.99%, a rise time reduction of 61.22%, and a little overshoot. A sturdiness analysis of the Nelder-Mead Fractional Order PID technique was also performed by varying the DC motor parameters.