Performance Evaluation of Gwo/Pid in Control of Ball Hoop System with Different Objective Functions

Abstract

This work deals with comparative analysis of GWO/PID approach in control of Ball Hoop (BH) system with different objective functions. Ball Hoop system is a device consists of a ball rolling on the rim of a hoop. It can be used to analyze the dynamics of liquid slosh problems. The mostly used objective functions are integral absolute error (IAE), integral square error (ISE), integral of square time multiplied by absolute Error (ISTAE) and integral of time multiplied absolute error (ITAE). These objective functions have been minimized with the help of Grey wolf optimization (GWO) algorithm in order to get the optimal parameters of proportional-integral-derivative (PID) controller for the control of Ball Hoop system. The comparative analysis of GWO/PID approach has also been shown in terms of transient responses parameters, bar charts and the responses of systems with controller tuned by GWO with a particular objective function. It has been observed that GWO/PID with ITAE objective function provides less settling time and overshoot in comparison to other objective functions.