TY - JOUR
T1 - Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation
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 - <p style="text-align: justify;">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.</p>