Title
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Estimation of nonparametric harmonic transfer functions for linear periodically time-varying systems using periodic excitations
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Author
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Abstract
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In this paper a nonparametric estimation procedure is proposed in order to identify continuous (discrete)-time, linear periodically time-varying (LPTV) systems. Further, multisine excitations are applied onto a LPTV system such that the system transient effects will vanish completely when the system is operating in steady state. The key idea is to decompose a LPTV system into an (in) finite series of transfer functions, the so-called harmonic transfer functions (HTF). From an identification point of view, the parallel structure, which consists of a weighted sum of the HTF's, is truncated to a desirable order. A high quality estimate of the nonparametric HTF's with its uncertainty embedded in an errors-in-variables framework is then obtained from only one experiment; making use of methods, the so-called local polynomial method (LPM), that are recently developed for multivariable linear time invariant systems. The effectiveness of the LPM will be first pointed up through simulations before a real system will be identified. The methodology is then eventually demonstrated on a real-life periodically time-varying electronic system. |
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Language
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English
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Source (journal)
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... IEEE International Instrumentation and Measurement Technology Conference. - Piscataway, NJ, 2008, currens
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Source (book)
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IEEE International Instrumentation and Measurement Technology Conference, (I2MTC), May 10-12, 2011, Hangzhou
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Publication
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New York, N.Y.
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IEEE
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2011
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ISBN
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978-1-4244-7935-1
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Volume/pages
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(2011)
, p. 699-704
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ISI
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000297171900140
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