Naslov
Discretization and Model Reduction Error Estimation of Interconnected Dynamical Systems

Autori
Dogančić, Bruno ; Jokić, Marko

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
IFAC-PapersOnLine 55(4) / - : Elsevier, 2022, 177-182

Skup
17th IFAC Conference on Programmable Devices and Embedded Systems (17th PDES 2022)

Mjesto i datum
Sarajevo, Bosna i Hercegovina, 17.05.2022. - 19.05.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
bounded error identification ; model reduction ; control of interconnected systems

Sažetak
In this paper a novel approach for estimating both discretization and model order reduction error is presented. Discretization is carried out using finite element method. Finite element models are converted to linear time-invariant state space models. Using the generalized square root balanced truncation method a series of reduced models are obtained. It is shown that for special class of passive and dissipative dynamical systems upper a- posteriori reduction error bound can be modeled less conservatively. Estimation of both discretization and model reduction error is further refined using ν-gap metric. Quality of the obtained reduced order model is verified in the frequency domain. The proposed error estimation approach is demonstrated on a numerical example.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Strojarstvo, Interdisciplinarne tehničke znanosti

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