✦ LIBER ✦

Discrete-time frequency weighted model reduction and application to sampled-data models

✍ Scribed by Yoram Halevi; Natalya Raskin

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 145 KB
Volume: 19
Category: Article
ISSN: 0143-2087
DOI: 10.1002/(sici)1099-1514(199809/10)19:5<315::aid-oca632>3.0.co;2-e

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✦ Synopsis

The problem of frequency weighted optimal model order reduction for discrete-time systems is considered. Necessary conditions which completely characterize the reduced-order model are given. The solution of the problem consists of a set of one generalized Riccati equation and two generalized Lyapunov equations all coupled by a projection. The results that were obtained for this problem are used to solve the problem of finding the optimal, fixed-order, discrete-time model for a sampled-data continuous-time system. Several configurations and cost functions, each corresponding to a certain physical scenario, are considered.

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