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Robustness Guarantees for Structured Model Reduction of Dynamical Systems

Pandey, Ayush and Murray, Richard M. (2021) Robustness Guarantees for Structured Model Reduction of Dynamical Systems. In: 2021 60th IEEE Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 6920-6927. ISBN 978-1-6654-3659-5.

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Model reduction methods usually focus on the error performance analysis; however, in presence of uncertainties, it is important to analyze the robustness properties of the error in model reduction as well. In this paper, we give robustness guarantees for structured model reduction of linear and nonlinear dynamical systems under parametric uncertainties. In particular, we consider a model reduction where the states in the reduced model are a strict subset of the states of the full model, and the dynamics for all other states are collapsed to zero (similar to quasi-steady state approximation). We show two approaches to compute a robustness metric for any such model reduction — a direct linear analysis method for linear dynamics and a sensitivity analysis based approach that also works for nonlinear dynamics. We also prove that for linear systems, both methods give equivalent results.

Item Type:Book Section
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URLURL TypeDescription
Pandey, Ayush0000-0003-3590-4459
Murray, Richard M.0000-0002-5785-7481
Additional Information:© 2021 IEEE. We would like to thank the reviewers for their insightful comments. The author A.P. would like to acknowledge funding support from NSF grant CBET-1903477.
Funding AgencyGrant Number
Record Number:CaltechAUTHORS:20220210-721878000
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Official Citation:A. Pandey and R. M. Murray, "Robustness Guarantees for Structured Model Reduction of Dynamical Systems," 2021 60th IEEE Conference on Decision and Control (CDC), 2021, pp. 6920-6927, doi: 10.1109/CDC45484.2021.9683298
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113414
Deposited By: George Porter
Deposited On:10 Feb 2022 22:51
Last Modified:10 Feb 2022 22:51

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