A graphical stability analysis method for cascade conjugate order systems

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dc.authorscopusid57188852830
dc.authorscopusid56529379100
dc.contributor.authorCetintas G.
dc.contributor.authorHamamci S.E.
dc.date.accessioned2024-08-04T20:04:02Z
dc.date.available2024-08-04T20:04:02Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.descriptionComputers and Information in Engineering Division;Design Engineering Divisionen_US
dc.description17th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, MESA 2021, Held as Part of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2021 -- 17 August 2021 through 19 August 2021 -- 174204en_US
dc.description.abstractThe theory and applications of complex fractional analysis have recently become a hot topic in the fields of mathematics and engineering. Therefore, studies on the complex order systems and their subset called the complex conjugate order systems began to appear in the control community. On the other hand, the concept of stability has always been an important issue, especially in the analysis and control of dynamical systems. In this paper, a graphical method for stability analysis of the complex conjugate order systems is presented. Since the proposed method is based on the Mikhailov stability criterion known from the stability theory of integer order systems, it is named the generalized modified Mikhailov stability criterion. This method gives stability information about the higher order complex conjugate order systems, i.e. cascade conjugate order systems, according to whether it encloses the origin in the complex plane or not. Three simulation examples for the cascade conjugate order systems are given to show the effectiveness and reliability of the method presented. The results are verified by the poles on the first sheet of Riemann surface and also time responses of the systems, which are calculated analytically in a very complex way. Copyright © 2021 by ASMEen_US
dc.description.sponsorshipBritish Association for Psychopharmacology, BAP: FDK-2021-2370en_US
dc.description.sponsorshipThis work is supported by the Inonu University Project of Scientific Research Unit (BAP) under the project number FDK-2021-2370.en_US
dc.identifier.doi10.1115/DETC2021-71143
dc.identifier.isbn9780791885437
dc.identifier.scopus2-s2.0-85119970267en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1115/DETC2021-71143
dc.identifier.urihttps://hdl.handle.net/11616/92306
dc.identifier.volume7en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmerican Society of Mechanical Engineers (ASME)en_US
dc.relation.ispartofProceedings of the ASME Design Engineering Technical Conferenceen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCascade conjugate order systemsen_US
dc.subjectComplex conjugate order systemsen_US
dc.subjectComplex fractional calculusen_US
dc.subjectComplex order systemsen_US
dc.subjectMikhailov stability criterionen_US
dc.titleA graphical stability analysis method for cascade conjugate order systemsen_US
dc.typeConference Objecten_US

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