Optimal design of fractional order digital differentiator using gravitational search algorithm

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Abstract
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.

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