Frequency-limited H∞ model reduction for positive systems
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Li, Xianwei; Yu, Changbin (Brad); Gao, Huijun
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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]
dc.contributor.author | Li, Xianwei | |
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dc.contributor.author | Yu, Changbin (Brad) | |
dc.contributor.author | Gao, Huijun | |
dc.date.accessioned | 2015-07-06T03:05:38Z | |
dc.date.available | 2015-07-06T03:05:38Z | |
dc.identifier.issn | 0018-9286 | |
dc.identifier.uri | http://hdl.handle.net/1885/14214 | |
dc.description.abstract | 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 model is derived, based on which, an iterative algorithm is constructed for optimizing the reduced-order model. The algorithm utilizes coarse reduced-order models resulting from (generalized) balanced truncation as the initial value. Both continuous- and discrete-time systems are considered in the same framework. Numerical examples clearly show the effectiveness and advantages of the proposed model reduction method. | |
dc.publisher | Institute of Electrical and Electronics Engineers | |
dc.rights | http://www.sherpa.ac.uk/romeo/issn/0018-9286/..."Author's post-print on Author's server or Institutional server" from SHERPA/RoMEO site (as at 9/07/15) | |
dc.rights | © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | |
dc.source | IEEE Transactions on Automatic Control | |
dc.title | Frequency-limited H∞ model reduction for positive systems | |
dc.type | Journal article | |
local.identifier.citationvolume | 60 | |
dc.date.issued | 2015-04 | |
local.publisher.url | http://www.ieee.org/index.html | |
local.type.status | Accepted Version | |
local.contributor.affiliation | Yu, C., Research School of Engineering, The Australian National University | |
local.bibliographicCitation.issue | 4 | |
local.bibliographicCitation.startpage | 1093 | |
local.bibliographicCitation.lastpage | 1098 | |
local.identifier.doi | 10.1109/TAC.2014.2352751 | |
Collections | ANU Research Publications |
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