Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 174–188
Abstract
We consider the optimal $\mathcal{H}_2$ model reduction for large scale multi-input multi-output systems via tangential interpolation. Specifically, we prove that for general multi-input multi-output systems, the tangential interpolation-based optimality conditions and the gramian-based optimality conditions are equivalent. Based on the tangential interpolation, a fast algorithm is proposed for the optimal $\mathcal{H}_2$ model reduction. Numerical examples are presented to demonstrate the approximation accuracy and computational efficiency of the proposed algorithm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-680
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 174–188
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Optimal $\mathcal{H}_2$ model reduction tangential interpolation multi-input multi-output system.