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-optimal model reduction of MIMO systems

โœ Scribed by P. Van Dooren; K.A. Gallivan; P.-A. Absil

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
250 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We consider the problem of approximating a p ร— m rational transfer function H (s) of high degree by another p ร— m rational transfer function 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.

๐Ÿ“œ SIMILAR VOLUMES

Optimal reduction of linear systems
Optimal reduction of linear systems
โœ Rein Luus ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

The use of direct search (LJ) optimization procedure in multi-pass manner in the frequency domain is shown to be a viable approach for obtaining the optimal reduced model of a linear single-input single-output (SISO) system, for which the optimal solution has eluded previous investigators. The resul