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HomeSolid State PhenomenaSolid State Phenomena Vol. 261A Heuristic Approach to Design Discrete Fractional...

A Heuristic Approach to Design Discrete Fractional Order Integrators without Using s-to-z Transform

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Abstract:

In this paper, a heuristic optimization technique called Harmony Search Algorithm (HSA) is efficiently employed to design Infinite Impulse Response (IIR) Discrete Fractional Order Integrators (DFOIs). Unlike the methods reported in the literature, no discretization (s-to-z transform) operator is necessary to obtain the DFOIs by using the proposed approach. To investigate the design efficiency, the HSA-based DFOIs have been evaluated against the designs based on Real coded Genetic Algorithm (RGA), Particle Swarm Optimization (PSO), and Differential Evolution (DE) using different frequency response error metrics. The reliability in the performance of the proposed DFOIs are extensively investigated by conducting various statistical tests. Comparison of fitness convergence demonstrates that HSA achieves the near global optimal solution in the least number of iterations. Thus, HSA exhibits superior computational efficiency in solving this multimodal optimization problem. The proposed DFOIs also outperform the reported designs.

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Precision Machining IX

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Periodical:

Solid State Phenomena (Volume 261)

Pages:

386-393

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.261.386

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Online since:

August 2017

Authors:

Shibendu Mahata, Suman Kumar Saha, Rajib Kar*, Durbadal Mandal, Nilotpal Banerjee

Keywords:

Digital Fractional Order Integrator, Harmony Search Algorithm, Hypothesis Tests, Metaheuristic Optimization, Signal Processing

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© 2017 Trans Tech Publications Ltd. All Rights Reserved

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