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Frequency-limited H∞ model reduction for positive systems

Li, Xianwei; Yu, Changbin (Brad); Gao, Huijun


In this paper, the problem of frequency-limited H∞ model reduction for positive linear time-invariant systems is investigated. Specifically, our goal is to find a stable positive reduced-order model for a given positive system such that the H∞ norm of the error system is bounded over a frequency interval of interest. A new condition in terms of matrix inequality is developed for characterizing the frequency-limited H∞ performance. Then an equivalent parametrization of a positive reduced-order...[Show more]

CollectionsANU Research Publications
Date published: 2015-04
Type: Journal article
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/TAC.2014.2352751


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