Improved Oustaloup approximation of fractional-order operators using adaptive chaotic particle swarm optimization-中国Betway体育网页登陆

摘要 Arationalapproximationmethodofthefractional-orderderivativeandintegraloperatorsisproposed.TheturningfrequencypointsarefixedineachfrequencyintervalinthestandardOustaloupapproximation.IntheimprovedOustaloupmethod,theturningfrequencypointsaredeterminedbytheadaptivechaoticparticleswarmoptimization(PSO).TheaveragevelocityisproposedtoreducetheiterationsofthePSO.Thechaoticsearchschemeiscombinedtoreducetheopportunityoftheprematurephenomenon.Twofitnessfunctionsaregiventominimizethezero-poleandamplitude-phasefrequencyerrorsfortheunderlyingoptimizationproblems.Somenumericalexamplesarecomparedtodemonstratetheeffectivenessandaccuracyofthisproposedrationalapproximationmethod.

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Improved Oustaloup approximation of fractional-order operators using adaptive chaotic particle swarm optimization

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