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arXiv · 2105.12966

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

Muhammad Altaf Khattak·Mian Ilyas Ahmad·Lihong Feng·Peter Benner
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Abstract

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 framework 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.

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Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng, Peter Benner. 2021-05-27. Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds. https://arxiv.org/abs/2105.12966

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