Observability, controllability and stability analysis of discrete time engineering dynamic systems by means of Lagrangian, Hamiltonian and dissipative functions in discrete forms
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Purpose - The purpose of this paper is to analyze the dynamical state of a discrete time engineering/physical dynamic system. The analysis is performed based on observability, controllability and stability first using difference equations of generalized motion obtained through discrete time equations of dissipative generalized motion derived from discrete Lagrange-dissipative model [{L,D}-model] for short of a discrete time observed dynamic system. As a next step, the same system has also been analyzed related to observability, controllability and stability concepts but this time using discrete dissipative canonical equations derived from a discrete Hamiltonian system together with discrete generalized velocity proportional Rayleigh dissipation function. The methods have been applied to a coupled (electromechanical) example in different formulation types. Design/methodology/approach - An observability, controllability and stability analysis of a discrete time observed dynamic system using discrete equations of generalized motion obtained through discrete {L, D}-model and discrete dissipative canonical equations obtained through discrete Hamiltonian together with discrete generalized velocity proportional Rayleigh dissipation function. Findings - The related analysis can be carried out easily depending on the values of classical elements. Originality/value - Discrete equations of generalized motion and discrete dissipative canonical equations obtained by discrete Lagrangian and discrete Hamiltonian, respectively, together with velocity proportional discrete dissipative function are used to analyze a discrete time observed engineering system by means of observability, controllability and stability using state variable theory and in the method proposed, the physical quantities do not need to be converted one to another.
Açıklama
Anahtar Kelimeler
Control Systems, Circuit Analysis, Sensors, Coupled Systems, Mechatronics, MEMS Modelling, Kontroll Systeme, Schaltungsanalyse, Sensoren, Gekoppelte Systeme, Mechatronik, MEMS Modellierung, Kontrol Sistemleri, Devre Analizi, Sensörler, MEMS Modelleme
Kaynak
COMPEL - The International Journal For Computation And Mathematics İn Electrical And Electronic Engineering
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
40
Sayı
4
Künye
Civelek, C. (2021), "Observability, controllability and stability analysis of discrete time engineering dynamic systems by means of Lagrangian, Hamiltonian and dissipative functions in discrete forms", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 40(4), pp. 837-855.