Fractional calculus-based firefly algorithm applied to parameter estimation of chaotic systems

Yashar Mousavi and Alireza Alfi

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 202-215

Abstract: This paper deals with the parameters estimation problem of chaotic systems using firefly algorithm (FA). The main contribution of the present work is to introduce a modified version of FA by incorporating fractional calculus during the search process, namely fractional-order FA (FOFA). FOFA simulates the behavior of each firefly with more historical memory, leading to enhance the performance of the basic FA by controlling its convergence speed. A simple structure and straightforward to implement are the main aspects of the proposed FOFA. First, the capability of FOFA is evaluated on the well-known test functions adopted from CEC'2015. Then, FOFA is applied for parameter estimation of chaotic systems. Results reveal that the incorporation of a memory term into the FA is an extremely significant development in comparison with other types of FAs.

Keywords: Chaotic system; Parameter estimation; Fractional calculus; Evolutionary algorithm; Firefly algorithm (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:202-215

DOI: 10.1016/j.chaos.2018.07.004

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