@inproceedings{cd6fdb3f6dec494b8cfdd75573b58839,
title = "A new approach to H∞ model reduction for positive systems",
abstract = "In this paper, we investigate model reduction for positive linear time-invariant systems in the H∞ sense. First, the bounded real lemma is further developed to obtain a new characterization of the H∞ performance, which does not include any product term between the Lyapunov matrix and the parameter of the reduced-order model. Then a new parameterization of a positive reduced-order model is proposed, and accordingly, an iterative algorithm is constructed, which makes use of the coarse reduced-order models resulting from the (generalized) balanced truncation as the initial value to search for a desired positive one. Both continuous- and discrete-time systems are considered in the same framework. Numerical examples clearly show the effectiveness and advantages of the proposed method.",
keywords = "H performance, Iterative algorithm, Model reduction, Positive systems",
author = "Xianwei Li and Changbin Yu and Huijun Gao and Lixian Zhang",
note = "Publisher Copyright: {\textcopyright} IFAC.; 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",
year = "2014",
doi = "10.3182/20140824-6-za-1003.01858",
language = "英语",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
pages = "3809--3814",
editor = "Edward Boje and Xiaohua Xia",
booktitle = "19th IFAC World Congress IFAC 2014, Proceedings",
}