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H2 optimal and frequency limited approximation methods for large-scale LTI dynamical systems

机译:大型LTI动态系统的H2优化和频率有限近似方法

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摘要

Model order reduction over a bounded frequency range is more adapted than the standard H2 approximation whenever the entire frequential behaviour of the large-scale model is not needed or not accurately known. However most of the methods that enable to reduce a model on a limited frequency range are based on the use of weights. Yet their determination is often an issue for engineers. That is why, in this paper, two weight-free model approximation algorithms are proposed. They are based on recent algorithms that achieve local H2 optimal model reduction (see Gugercin (2007), Van Dooren et al. (2008) and Gugercin et al. (2008)). The proposed algorithms e ciency are validated both on a standard benchmark and on an industrial use case.
机译:每当不需要或不准确地知道大规模模型的整个频繁行为时,界限频率范围内的模型顺序更加适应了大规模的H2近似。然而,在有限频率范围内能够减少模型的大多数方法都基于使用权重。然而,他们的决心往往是工程师的问题。这就是为什么在本文中,提出了两个减重模型近似算法。它们基于最近实现局部H2最佳模型减少的算法(参见Gugercin(2007),范门等人。(2008)和Gugercin等人。(2008))。所提出的算法E效率在标准基准和工业用例上验证。

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