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Optimal H2 Model Reduction for Large Scale MIMO Systems via Tangential Interpolation

Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation

Year:    2011

International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 174–188

Abstract

We consider the optimal H2 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 H2 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 H2 model reduction tangential interpolation multi-input multi-output system.