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Title: | Positivity-preserving H∞ model reduction for positive systems |
Authors: | Li, P Lam, J Wang, Z Date, P |
Keywords: | H∞ performance;Iterative algorithm;Linear matrix inequality;Model reduction;Positive systems |
Issue Date: | 2011 |
Publisher: | Elsevier |
Citation: | AutomaticaIterative algorithm, 47(7): 1504 - 1511, Jul 2011 |
Abstract: | This paper is concerned with the model reduction of positive systems. For a given stable positive system, our attention is focused on the construction of a reduced-order model in such a way that the positivity of the original system is preserved and the error system is stable with a prescribed H∞ performance. Based upon a system augmentation approach, a novel characterization on the stability with H∞ performance of the error system is first obtained in terms of linear matrix inequality (LMI). Then, a necessary and sufficient condition for the existence of a desired reduced-order model is derived accordingly. Furthermore, iterative LMI approaches with primal and dual forms are developed to solve the positivity-preserving H∞ model reduction problem. Finally, a compartmental network is provided to show the effectiveness of the proposed techniques. |
Description: | This is the post-print version of the Article - Copyright @ 2011 Elevier |
URI: | http://www.sciencedirect.com/science/article/pii/S0005109811001336 http://bura.brunel.ac.uk/handle/2438/6065 |
DOI: | http://dx.doi.org/10.1016/j.automatica.2011.02.032 |
ISSN: | 0005-1098 |
Appears in Collections: | Publications Computer Science Dept of Computer Science Research Papers |
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