Abstract
Loewner framework is a technique that uses frequency response data to construct a reduced order model of a given system. In the past, it has been employed in many different synthetic problems and applications like beams. In this work, we exploit the tool on a new problem, namely the data pertaining to the structural vibrations in the Russian Service module. Loewner model uses just 100 modes to find a reduced order model that performs almost as good as the original system that has a state dimension of 270. We also show how the poles are computable from the eigendecomposition of some of the system matrices.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Chatterjee A (2000) An introduction to the proper orthogonal decomposition. Current Sci 808–817
Rowley CW (2005) Model reduction for fluids, using balanced proper orthogonal decomposition. Int J Bifurc Chaos 15(03):997–1013
Murshed MN, Chowdhury MH, Shuzan M, Islam N, Uddin MM (2021) Towards an improved eigensystem realization algorithm for low-error guarantees. In: Proceedings of international joint conference on advances in computational intelligence. Springer, pp 41–54
Murshed MN, Uddin MM (2019) Time delay coordinate based dynamic mode decomposition of a compressible signal. In: 2019 22nd international conference on computer and information technology (ICCIT). IEEE, pp 1–5
Murshed MN, Uddin MM (2022) Towards an adaptive dynamic mode decomposition. Results Control Optim 6:100076
Antoulas AC, Lefteriu S, Ionita AC, Benner P, Cohen A (2017) A tutorial introduction to the Loewner framework for model reduction. Model Reduct Approx Theory Algorithms 15:335
Antoulas AC (2016) The Loewner framework and transfer functions of singular/rectangular systems. Appl Math Lett 54:36–47
Ionita AC, Antoulas AC (2014) Data-driven parametrized model reduction in the Loewner framework. SIAM J Sci Comput 36(3):A984–A1007
Gosea IV, Antoulas AC (2017) Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. arXiv:1712.06031
Gosea IV, Antoulas AC (2016) Stability preserving post-processing methods applied in the Loewner framework. In: IEEE 20th workshop on signal and power integrity (SPI). IEEE, pp 1–4
Karachalios D, Gosea IV, Antoulas AC (2021) The Loewner framework for system identification and reduction. In: Model order reduction: volume i: system-and data-driven methods and algorithms. De Gruyter, pp 181–228
Mayo A, Antoulas A (2007) A framework for the solution of the generalized realization problem. Linear Algebra Appl 425(2–3):634–662
Palitta D, Lefteriu S (2022) An efficient, memory-saving approach for the Loewner framework. J Sci Comput 91(2):1–25
Lefteriu S, Antoulas AC (2009) A new approach to modeling multiport systems from frequency-domain data. IEEE Trans Comput Aided Des Integr Circuits Syst 29(1):14–27
Chahlaoui Y, Dooren PV (2005) Benchmark examples for model reduction of linear time-invariant dynamical systems. In: Dimension reduction of large-scale systems. Springer, pp 379–392
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Alam, S., Murshed, M.N. (2023). Reduced-Order Model of the Russian Service Module via Loewner Framework. In: Uddin, M.S., Bansal, J.C. (eds) Proceedings of International Joint Conference on Advances in Computational Intelligence. IJCACI 2022. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-99-1435-7_42
Download citation
DOI: https://doi.org/10.1007/978-981-99-1435-7_42
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-1434-0
Online ISBN: 978-981-99-1435-7
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)