Optimal design of fractional order digital differentiator using gravitational search algorithm

Design of wideband and accurate Fractional Order Digital Differentiator (FODD) in terms of infinite impulse response (IIR) filter based on a metaheuristic optimization technique called Gravitational Search Algorithm (GSA) is presented in this work. In comparison with the FODDs based on four other metaheuristics, the GSA based design consistently demonstrates a superior solution quality and an improved convergence rate. The proposed FODD also significantly outperforms the designs based on various classical and non-classical approaches reported in the literature.