Comparison between butterfly optimization algorithm and particle swarm optimization for tuning cascade PID control system of PMDC motor

In this paper, two optimization methods are used to adjust the gain values for cascade PID controller. These algorithms butterfly algorithm (BOA), which is a modern method based on tracking movement of butterflies scent fragrance reach best position and second particle swarm (PSO). The controllers in system control position, velocity, current permanent magnet DC motor (PMDC) with an accurate trajectory desired position. simulation results using Matlab environment showed that better than swarming (PSO) terms performance overshoot or any deviation path While 2.557% was observed when PSO algorithm, 7.82 degrees from reference