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Improved computation in terms of accuracy and speed of LTI system response with arbitrary input

Jelicic, Goran and Böswald, Marc and Brandt, Anders (2020) Improved computation in terms of accuracy and speed of LTI system response with arbitrary input. Mechanical Systems and Signal Processing (MSSP). Elsevier. doi: 10.1016/j.ymssp.2020.107252. ISSN 0888-3270.

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Official URL: https://www.sciencedirect.com/science/article/abs/pii/S0888327020306385?via%3Dihub


Spectral analysis and system identification techniques require suitably long data sets. Linear time-invariant (LTI) systems under random input can be demanding in terms of accurate simulation of all dynamics because of calculation time. This paper details an extension of the state-space formulation of LTI systems for higher order holds, for periodic and for exponential inputs. Exact solutions of the differential state equation are implemented into loops computing only matrix-vector multiplications. The algorithmic complexity is compared to other ordinary differential equations solvers. The presented methods can be applied to arbitrary inputs. In particular, it is shown that long system responses under random input can be computed efficiently and accurately in the time and frequency domains.

Item URL in elib:https://elib.dlr.de/139811/
Document Type:Article
Title:Improved computation in terms of accuracy and speed of LTI system response with arbitrary input
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Jelicic, Gorangoran.jelicic (at) dlr.dehttps://orcid.org/0000-0001-5091-6699
Böswald, Marcmarc.boeswald (at) dlr.dehttps://orcid.org/0000-0001-8260-8623
Brandt, Andersabra (at) sdu.dkhttps://orcid.org/0000-0003-2025-7842
Date:28 August 2020
Journal or Publication Title:Mechanical Systems and Signal Processing (MSSP)
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.ymssp.2020.107252
Keywords:LTI systems, fast simulation, higher order hold, random input
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation (old)
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity > Structural Dynamics and System Identification
Deposited By: Jelicic, Goran
Deposited On:21 Dec 2020 15:25
Last Modified:21 Dec 2020 15:25

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