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H2-optimal model reduction of MIMO systems

P. Van Dooren (Paul.Vandooren***at***uclouvain.be)
K. A. Gallivan (gallivan***at***scs.fsu.edu)
P.-A. Absil (pa.absil***at***uclouvain.be)

Abstract: We consider the problem of approximating a $p\times m$ rational transfer function $H(s)$ of high degree by another $p\times m$ rational transfer function $\hat{H}(s)$ of much smaller degree. We derive the gradients of the $H_2$-norm of the approximation error and show how stationary points can be described via tangential interpolation.

Keywords: Multivariable systems, model reduction, optimal H2 approximation, tangential interpolation.

Category 1: Applications -- Science and Engineering (Other )

Citation: Technical report UCL-INMA-2007.034, Department of Mathematical Engineering, Université catholique de Louvain.

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Entry Submitted: 09/07/2007
Entry Accepted: 09/07/2007
Entry Last Modified: 10/01/2007

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