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Volume 8, Issue 1
Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation

Y. Xu & T. Zeng

Int. J. Numer. Anal. Mod., 8 (2011), pp. 174-188.

Published online: 2011-08

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  • 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.

  • Keywords

Optimal $\mathcal{H}_2$ model reduction, tangential interpolation, multi-input multi-output system.

  • AMS Subject Headings

65k10, 37M05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-174, author = {Y. Xu and T. Zeng}, title = {Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/680.html} }
TY - JOUR T1 - Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation AU - Y. Xu & T. Zeng JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 174 EP - 188 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/680.html KW - Optimal $\mathcal{H}_2$ model reduction, tangential interpolation, multi-input multi-output system. AB -

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.

Y. Xu and T. Zeng. (2011). Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation. International Journal of Numerical Analysis and Modeling. 8 (1). 174-188. doi:
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