Fractional order butterworth filter design based on artificial bee colony algorithm

It has been shown that fractional notation is more effective than traditional integer notation in analyzing various physical systems. The fractional approach allows the use of equivalent small fractional systems instead of higher order integer order systems. Therefore, the fractional order approach is preferred for the design of commonly used Butterworth filters. Using fractional-order approximations, it is possible to use low-order equivalent filters instead of high-order integer-order filters. The objective is to determine the best fractional components as well as the filter coefficients by comparing it with the Artificial Bee Colony Algorithm and the Particle Swarm Optimization Algorithm.