Observability, controllability and stability of a nonlinear RLC circuit in form of a Duffing oscillator by means of theoretical mechanical approach

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dc.authorid0000-0003-0017-8661
dc.contributor.authorCivelek, Cem
dc.date.accessioned2022-11-15T07:44:27Z
dc.date.available2022-11-15T07:44:27Z
dc.date.issued2022
dc.departmentTAÜ, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.description.abstractIn this research article, observability, controllability and stability of a nonlinear RLC circuit with a nonlinear capacitor is investigated as a Duffing oscillator beginning with the dissipative equations of generalized motion using Lagrange-dissipative model ({L, D}-model briefly). The force related to the potential energy, equilibria, and their well known stability properties are given using state space approach. Prerequisite that the condition for a Legendre transform is fulfilled, for the same system, also Hamiltonian of the system is found. Using Hamiltonian and dissipation function, dissipative canonical equations are obtained. These equations are written in state space form. Then the equality to the same results obtained using the dissipative equations of generalized motion related equilibria and their stability was shown. Thus a Lyapunov function as residual energy function (REF) is justified in terms of stability of the overall system. As last step, different electrical and mechanical (physical) realization possibilities are discussed.
dc.identifier.citationIn this research article, observability, controllability and stability of a nonlinear RLC circuit with a nonlinear capacitor is investigated as a Duffing oscillator beginning with the dissipative equations of generalized motion using Lagrange-dissipative model ({L, D}-model briefly). The force related to the potential energy, equilibria, and their well known stability properties are given using state space approach. Prerequisite that the condition for a Legendre transform is fulfilled, for the same system, also Hamiltonian of the system is found. Using Hamiltonian and dissipation function, dissipative canonical equations are obtained. These equations are written in state space form. Then the equality to the same results obtained using the dissipative equations of generalized motion related equilibria and their stability was shown. Thus a Lyapunov function as residual energy function (REF) is justified in terms of stability of the overall system. As last step, different electrical and mechanical (physical) realization possibilities are discussed.
dc.identifier.doi10.2478/jee-2022-0018
dc.identifier.endpage145en_US
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85141114378
dc.identifier.scopusqualityN/A
dc.identifier.startpage140en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12846/685
dc.identifier.volume73en_US
dc.identifier.wosWOS:000835119800008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCivelek, Cem
dc.language.isoen
dc.publisherSlovak University of Technology in Bratislava
dc.relation.ispartofJournal of Electrical Engineering-Elektrotechnicky Casopis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDuffing Denklemien_US
dc.subjectDuffing Oszillatoren_US
dc.subjectDuffing Oscillatoren_US
dc.titleObservability, controllability and stability of a nonlinear RLC circuit in form of a Duffing oscillator by means of theoretical mechanical approach
dc.typeArticle

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