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arXiv · 1909.10275

Time-limited pseudo-optimal H$_2$-model order reduction

Umair Zulfiqar·Victor Sreeram·Xin Du
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Abstract

A model order reduction algorithm is presented that generates a reduced-order model of the original high-order model, which ensures high-fidelity within the desired time interval. The reduced model satisfies a subset of the first-order optimality conditions for time-limited H$_2$-model reduction problem. The algorithm uses a computationally efficient Krylov subspace-based framework to generate the reduced model, and it is applicable to large-scale systems. The reduced-order model is parameterized to enforce a subset of the first-order optimality conditions in an iteration-free way. We also propose an adaptive framework of the algorithm, which ensures a monotonic decay in error irrespective of the choice of interpolation points and tangential directions. The efficacy of the algorithm is validated on benchmark model reduction problems.

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Umair Zulfiqar, Victor Sreeram, Xin Du. 2020-06-24. Time-limited pseudo-optimal H$_2$-model order reduction. https://doi.org/10.1049/iet-cta.2019.1105

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