Abstract
Subsystem reduction of interconnected systems provides a computationally cheap and structure-preserving alternative to direct model order reduction techniques of large-scale systems. Unfortunately, for this method, error bounds for the reduced interconnected system are often difficult to compute or not available. This paper provides an approach to determine an a priori error bound and to give stability guarantees for subsystem reduction of interconnected systems. This is achieved by modeling subsystem reduction errors as an uncertainty such that the structured singular value, a computational tool used in robust control, can be used. A method is provided to compute either a global or a frequency-dependent a priori error bound. Additionally, it is proven that convergence of this method is guaranteed. Finally, the effectiveness of the proposed method is demonstrated by an illustrative example.
Original language | English |
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Title of host publication | Proceedings of the 2022 American Control Conference (ACC) |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 1867-1872 |
Number of pages | 6 |
ISBN (Electronic) | 978-1-6654-5196-3 |
DOIs | |
Publication status | Published - 5 Sept 2022 |
Event | 2022 American Control Conference, ACC 2022 - Atlanta, United States Duration: 8 Jun 2022 → 10 Jun 2022 https://acc2022.a2c2.org/ |
Conference
Conference | 2022 American Control Conference, ACC 2022 |
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Abbreviated title | ACC 2022 |
Country/Territory | United States |
City | Atlanta |
Period | 8/06/22 → 10/06/22 |
Internet address |
Keywords
- Robust Control
- Uncertainty
- Error analysis
- Computational modeling
- Interconnected systems
- Stability analysis
- Reduced order systems