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Comparison of Parameter Identification Methods for Linear Dynamic Systems Under Mixed Noise Full article

Journal Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795
Output data Year: 2021, Volume: 253, Number: 3, Pages: 407-418 Pages count : 12 DOI: 10.1007/s10958-021-05238-0
Authors Lomov A.A. 1,2 , Fedoseev A. V. 1,2
Affiliations
1 Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, 1, Pirogova St, Novosibirsk, 630090, Russian Federation

Abstract: We study the possibility of comparing methods with the atypical noise conditions by examing three parameter identification methods and using the sensitivity theory for local expansions of objective functions. The theoretical results are confirmed by numerical experiments on the equations of longitudinal motion of an aircraft, where the parameters are identified by the linear least-squares method, the method of instrumental variables in a frequency domain, and the variational method. The mixed noise (an additive noise in observations and a noise in the residual of the equation) is taken for perturbations. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
Cite: Lomov A.A. , Fedoseev A.V.
Comparison of Parameter Identification Methods for Linear Dynamic Systems Under Mixed Noise
Journal of Mathematical Sciences (United States). 2021. V.253. N3. P.407-418. DOI: 10.1007/s10958-021-05238-0 Scopus OpenAlex
Original: Ломов А.А. , Федосеев А.В.
Сравнение методов параметрической идентификации линейных динамических систем в условиях смешанных возмущений
Сибирский журнал чистой и прикладной математики. 2018. Т.18. №3. С.45-59.
Identifiers:
Scopus: 2-s2.0-85100672603
OpenAlex: W3127468391
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