✦ LIBER ✦

On model reduction by L2-optimal pole retention

✍ Scribed by W. Krajewski; A. Lepschy; G.A. Mian; U. Viaro

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 534 KB
Volume: 327
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(90)90057-p

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✦ Synopsis

The L,-optimal reduced model retaining a given number of poles of the original system is determined in an eficient way. In particular, an expression for evaluating the minimum of the impulse response error norm for any choice of retained poles is derived in terms of the original system parameters, which allows us to find the truly dominant poles in a simple manner. Then, the corresponding optimal model numerator is obtained using an orderrecursive procedure. An interesting interpolation property of the reduced model is also pointed out. An example shows how the method operates.

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