Parameterized Interpolation of Passive Systems
(2024) SIAM Journal on Matrix Analysis and Applications — Vol. 45, n° 2, p. 1035-1053 (2024)
Files
BennerGV24.pdf
Open Access - Adobe PDF
- 644.99 KB
Details
- Authors
Benner, Peter 
Goyal, Pawan Van Dooren, Paul
- Abstract
- We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a deflating subspace associated with a selection of spectral zeros of a parameterized para-Hermitian transfer function. We show that this technique improves the robustness of the low order model and that it can also be applied to nonpassive systems, provided they have sufficiently many spectral zeros in the open right half-plane. We analyze the accuracy needed for the computation of the deflating subspace, in order to still have a passive lower order model and we derive a novel selection procedure of spectral zeros in order to obtain low order models with a small approximation error.
- Affiliations
Citations
Benner, P., Goyal, P., & Van Dooren, P. (2024). Parameterized Interpolation of Passive Systems. SIAM Journal on Matrix Analysis and Applications, 45(2), 1035-1053. https://doi.org/10.1137/23m1580528 (Original work published 2024)