An examination of complex fractional order physical phenomena in IOPD controller design

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dc.contributor.authorDemiroğlu, Uğur
dc.contributor.authorŞenol, Bilal
dc.contributor.authorMatuš?, Radek
dc.date.accessioned2023-09-27T12:54:17Z
dc.date.available2023-09-27T12:54:17Z
dc.date.issued2023
dc.departmentMühendislik Fakültesi
dc.description.abstractThis research focuses on the fractional complex order plant (FCOP). The significant contribution is the role of complex plant models in system stability and robustness and associated physical phenomena. A general transfer function is studied in the paper. Other plant models may be built with this structure since the FCOP is a general mathematical form covering integer order plant (IOP) and fractional order plant (FOP). Using the equations produced with the proposed technique and the recommended integer order proportional derivative (IOPD controller, physical changes in integer, fractional and complex coefficients, and orders are observed within this paper. Analysis of the plant controlled with an IOPD controller is done by applying an integrator to reveal the differences. The effects of the parameters are discussed together with the visuals, supported by simulations. The aim is to tune the controller parameters to achieve the phase and specifications as the researcher desired. It is observed that the integrator greatly takes part in reducing the steady-state error. The IOP with the integrator showed the lowest steady-state error, and also, the settling and overshoot time were enhanced. Increase in the phase margin also caused an increase in the phase crossover frequency. It is also observed that the fractional order affected the phase crossover frequency comparing with the IOP, and the complex order modification also had an effect comparing to the fractional order version. The complex order of the system is considered with its conjugate components in the imaginary part thus, the results are found separately for each case.
dc.identifier.doi10.1002/mma.9362
dc.identifier.endpage15093en_US
dc.identifier.issn0170-4214
dc.identifier.issue14en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage15073en_US
dc.identifier.urihttps:/dx.doi.org10.1002/mma.9362
dc.identifier.urihttps://hdl.handle.net/20.500.12451/10987
dc.identifier.volume46en_US
dc.identifier.wosWOS:000988390600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherJohn Wiley and Sons Ltd
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectAnalytical Method
dc.subjectController Design
dc.subjectFractional Complex Order
dc.subjectFractional Order
dc.subjectInteger Order
dc.subjectProportional Derivative
dc.titleAn examination of complex fractional order physical phenomena in IOPD controller design
dc.typeArticle

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