Physical system analysis related to observability, controllability and stability using its equations of generalized motion and canonical equations both in dissipative forms

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dc.authorid0000-0003-0017-8661
dc.contributor.authorCivelek, Cem
dc.contributor.authorSuesse, Roland
dc.date.accessioned2022-11-08T13:06:29Z
dc.date.available2022-11-08T13:06:29Z
dc.date.issued2022
dc.departmentTAÜ, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.description.abstractUsing tensorial variables in contravariant, covariant forms and different formulation types, the reader is informed about a coupled physical nonlinear system with f degree of freedom. f second-order differential equations of dissipative generalized motion obtained by the extended Euler-Lagrange differential equations can be transformed to a system of 2f differential equations of order one using the theory of state variables or Hamiltonian approaches. Besides analyzing the system, these equations can also be used to analyze such a system in terms of observability, controllability and stability. In this article, another property of Lagrange-Dissipative system modeling ({L, D}-modeling briefly) is presented. And thus, this sort of modeling approach of physical/engineering systems are enriched by means of observability, controllability applying Lie algebra, which has the classical observability and controllability matrices of the linear case. Stability analysis is also performed. Using Lagrangian and Hamiltonian approaches together with dissipation, one can obtain the state equations for a system in an easy way. Moreover, different forms in different formulation types of state equations can be presented. How these forms are achieved is also explained. The approach is convenient specially when using coupled systems, where different physical quantities are available together. The only restriction compared to the classical state space analysis is that the generalized coordinate (and momentum) depending on formulation must be selected as the state variable. A coupled electromechanical example in different forms and formulations is given.
dc.identifier.citationCivelek, C., & Süsse, R. (2022). Physical system analysis related to observability, controllability and stability using its equations of generalized motion and canonical equations both in dissipative forms. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(7), 1-13.
dc.identifier.doi10.1007/s40430-022-03584-x
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85133003771
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://hdl.handle.net/20.500.12846/676
dc.identifier.volume44en_US
dc.identifier.wosWOS:000817290500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCivelek, Cem
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectPhysical System Analysisen_US
dc.subjectCoupled System Analysisen_US
dc.subjectLagrangian and Hamiltonian Dynamicsen_US
dc.subjectFiziksel Sistem Analizien_US
dc.subjectBağlantılı Sistem Analizien_US
dc.subjectPhysikalische Systemanalyseen_US
dc.subjectGekoppelte Systemanalyseen_US
dc.titlePhysical system analysis related to observability, controllability and stability using its equations of generalized motion and canonical equations both in dissipative forms
dc.typeArticle

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