A fast adaptive model reduction method based on Takenaka-Malmquist systems
Mi W.1; Qian T.1; Wan F.2
2012
Source PublicationSystems and Control Letters
ISSN0167-6911
Volume61Issue:1Pages:223
Abstract

An adaptive model reduction method is proposed for linear time-invariant systems based on the continuous-time rational orthogonal basis (TakenakaMalmquist basis). The method is to find an adaptive approximation in the energy sense by selecting optimal points for the rational orthogonal basis. The stability of the reduced models holds, and the steady-state values of step responses are kept to be equal. Furthermore, the method automatically ensures the reduced system to be in the Hardy space H2. The existence of the best approximation in the Hardy space H2 by n Blaschke forms is proved in the proposed approach. The effectivity of this method is illustrated through three well-known examples. 

KeywordBest Approximation Impulse Response Energy Model Order Reduction Rational Approximation Takenakamalmquist Basis
DOIhttps://doi.org/10.1016/j.sysconle.2011.10.016
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000300810100032
The Source to ArticleScopus
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Cited Times [WOS]:43   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Corresponding AuthorMi W.
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau
2.Department of Electrical and Electronics Engineering, Faculty of Science and Technology, University of Macau, Macau
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Mi W.,Qian T.,Wan F.. A fast adaptive model reduction method based on Takenaka-Malmquist systems[J]. Systems and Control Letters,2012,61(1):223.
APA Mi W.,Qian T.,&Wan F..(2012).A fast adaptive model reduction method based on Takenaka-Malmquist systems.Systems and Control Letters,61(1),223.
MLA Mi W.,et al."A fast adaptive model reduction method based on Takenaka-Malmquist systems".Systems and Control Letters 61.1(2012):223.
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