A GRAPHICAL STABILITY ANALYSIS METHOD FOR CASCADE CONJUGATE ORDER SYSTEMS
dc.contributor.author | Cetintas, Gulten | |
dc.contributor.author | Hamamci, Serdar Ethem | |
dc.date.accessioned | 2024-08-04T20:56:17Z | |
dc.date.available | 2024-08-04T20:56:17Z | |
dc.date.issued | 2021 | |
dc.department | İnönü Üniversitesi | en_US |
dc.description | ASME International Design Engineering Technical Conferences / 41st Annual Computers and Information in Engineering Conference (IDETC-CIE) / 17th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA) -- AUG 17-19, 2021 -- ELECTR NETWORK | en_US |
dc.description.abstract | The 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. | en_US |
dc.description.sponsorship | Amer Soc Mech Engineers, Design Engn Div,Amer Soc Mech Engineers, Comp & Informat Engn Div, Tech Comm Micro & Nano Syst,IEEE | en_US |
dc.description.sponsorship | Inonu University Project of Scientific Research Unit (BAP) [FDK-2021-2370] | en_US |
dc.description.sponsorship | This work is supported by the Inonu University Project of Scientific Research Unit (BAP) under the project number FDK-2021-2370. | en_US |
dc.identifier.isbn | 978-0-7918-8543-7 | |
dc.identifier.uri | https://hdl.handle.net/11616/102191 | |
dc.identifier.wos | WOS:001224362100027 | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.language.iso | en | en_US |
dc.publisher | Amer Soc Mechanical Engineers | en_US |
dc.relation.ispartof | Proceedings of Asme 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Idetc-Cie2021, Vol 7 | en_US |
dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Complex fractional calculus | en_US |
dc.subject | Complex order systems | en_US |
dc.subject | Complex conjugate order systems | en_US |
dc.subject | Cascade conjugate order systems | en_US |
dc.subject | Mikhailov stability criterion | en_US |
dc.title | A GRAPHICAL STABILITY ANALYSIS METHOD FOR CASCADE CONJUGATE ORDER SYSTEMS | en_US |
dc.type | Conference Object | en_US |