Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds [article]

Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng, Peter Benner
2021 arXiv   pre-print
We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear descriptor systems. In this framework, an important issue is the selection of those shift frequencies where moment-matching is to be achieved. Often, the choice is random or linked to the linear part of the nonlinear system. In this paper, we extend the use of an existing a posteriori error bound for general linear time invariant systems to quadratic-bilinear systems and develop a greedy-type
more » ... rk to select a good choice of interpolation points for the construction of the projection matrices. The results are compared with standard quadratic-bilinear projection methods and we observe that the approximations obtained by the proposed method yield high accuracy.
arXiv:2105.12966v1 fatcat:aafjubrh6ravnbq4t2vyuhnela