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dc.contributor.authorAli, Talal Ahmed Ali
dc.contributor.authorXiao, Zhu
dc.contributor.authorMirjalili, Seyedali
dc.contributor.authorHavyarimana, Vincent
dc.date.accessioned2020-11-06T05:35:46Z
dc.date.available2020-11-06T05:35:46Z
dc.date.issued2020
dc.identifier.issn1568-4946
dc.identifier.doi10.1016/j.asoc.2020.106340
dc.identifier.urihttp://hdl.handle.net/10072/399039
dc.description.abstractIn this paper, a novel method is proposed based on combining L1-norm optimally criterion with a recently-proposed metaheuristic called multi-verse optimizer (MVO) to design 2nd–4th order stable, minimum phase and wideband infinite impulse response (IIR) digital fractional order differentiators (DFODs) for the fractional order differentiators (FODs) of one-half, one-third and one-fourth order. To confirm the superiority of the proposed approach, we conduct comparisons of the MVO-based designs with the real-coded genetic algorithm (RCGA) and particle swarm optimization (PSO)-based designs in terms of accuracy, robustness, consistency, and efficiency. The transfer functions of the proposed designs are inverted to obtain new models of digital fractional order integrators (DFOIs) of the same order. A comparative study of the frequency responses of the proposed digital fractional order differentiators and integrators with the ones of the existing models is then conducted. The results demonstrate that the proposed designs yield the optimal magnitude responses in terms of absolute magnitude error (AME) with flat response profiles.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofpagefrom106340
dc.relation.ispartofjournalApplied Soft Computing
dc.relation.ispartofvolume93
dc.subject.fieldofresearchArtificial intelligence
dc.subject.fieldofresearchApplied mathematics
dc.subject.fieldofresearchNumerical and computational mathematics
dc.subject.fieldofresearchcode4602
dc.subject.fieldofresearchcode4901
dc.subject.fieldofresearchcode4903
dc.subject.keywordsScience & Technology
dc.subject.keywordsComputer Science, Interdisciplinary Applications
dc.titleEfficient design of wideband digital fractional order differentiators and integrators using multi-verse optimizer
dc.typeJournal article
dc.type.descriptionC1 - Articles
dcterms.bibliographicCitationAli, TAA; Xiao, Z; Mirjalili, S; Havyarimana, V, Efficient design of wideband digital fractional order differentiators and integrators using multi-verse optimizer, Applied Soft Computing, 2020, 93, pp. 106340
dc.date.updated2020-11-06T05:34:05Z
gro.hasfulltextNo Full Text
gro.griffith.authorMirjalili, Seyedali


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