Discrete-Time modeling of hamiltonian systems

Yaprak Yalçin*, Leyla Gören Sümer, Salman Kurtulan

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name???Makalebilirkişi

15 Atıf (Scopus)

Özet

The problem of discrete-time modeling of the lumped-parameter Hamiltonian systems is considered for engineering applications. Hence, a novel gradient-based method is presented, exploiting the discrete gradient concept and the forward Euler discretization under the assumption of the continuous Hamiltonian model is known. It is proven that the proposed discrete-time model structure defines a symplectic difference system and has the energy-conserving property under some conditions. In order to provide alternate discrete-time models, 3 different discrete-gradient definitions are given. The proposed models are convenient for the design of sampled-data controllers. All of the models are considered for several well-known Hamiltonian systems and the simulation results are demonstrated comparatively.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)149-170
Sayfa sayısı22
DergiTurkish Journal of Electrical Engineering and Computer Sciences
Hacim23
Basın numarası1
DOI'lar
Yayın durumuYayınlandı - 1 Oca 2015

Bibliyografik not

Publisher Copyright:
© TÜBITAK.

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