Abstract
Time-domain moment matching-based model order reduction is an efficient technique that provides a family of parametrized reduced order models with identical moments evaluated in a set of points. The free parameters provide flexibility to impose additional constraints such as stability, passivity, and derivative matching. In this paper, for a single-input and single-output linear time-invariant system, we consider the problem of constructing a reduced-order model by balanced truncation via moment matching. We show that there exists an exo-system yielding a reduced order model with a desired controllability Gramian. Similarly, an exo-system of dual moment matching provides a reduced order model with a desired observability Gramian. Therefore, combining the two moment matching methods can yield a reduced order model by balanced truncation, opening a door to achieve model reduction by balanced truncation via moment matching
| Original language | English |
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| Title of host publication | 2023 European Control Conference (ECC) |
| Subtitle of host publication | Proceedings |
| Publisher | IEEE Xplore |
| Number of pages | 6 |
| ISBN (Electronic) | 978-3-907144-08-4 |
| ISBN (Print) | 978-1-6654-6531-1 |
| Publication status | Published - 17-Jul-2023 |