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Article 2024 · 0 citations

A comparative view to H∞-norm of transfer functions of linear DAEs

Gunduz, Hasan, Celik, Ercan, Karabacak, Mesut

Abstract

In this paper, bisection and extended-balanced singular perturbation methods are used to calculate the H infinity-norm of the transfer function of a linear DAEs system for the particular case D = 0. In the beginning the approaches' algorithms and error analysis are provided separately. Next, the methods are employed to calculate the H infinity-norms of a numerical example pertaining to an automotive gas turbine model, and the error limits are used to check the norms in the suitable range, respectively. Ultimately, every solution is compared individually with the problem's H infinity-norm values, which are retrieved from MATLAB.

Keywords
DAEs systems H-infinity norm Bisection method Extended-balanced singular perturbation method ORDER REDUCTION MODEL-REDUCTION SYSTEMS
WoS Categories
Mathematics, Applied
Citation
Journal
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA
Year
2024
Volume
14
Issue
4
Pages
346-354
ISSN
2146-0957
eISSN
2146-5703
DOI
10.11121/ijocta.1575
WoS UID
WOS:001343372700005
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