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On the use of Poisson wavelet transform for system identification
Published in
2009
Volume: 19
   
Issue: 1
Pages: 48 - 57
Abstract
The Poisson wavelet transform (PWT) has been introduced and successfully applied to model estimation by Kosanovich et al. [K.A. Kosanovich, A.R. Moser, M.J. Piovoso, Poisson wavelets applied to model identification, J. Process Contr. 5 (4), (1995) 225-234]. In the original work the analytical expressions for the PWT of the step response of an FOPTD system is used to estimate the model parameters and verify the appropriateness of the FOPTD structure for the process. This set of analytical expressions, which are fundamental to the use of the PWT for identification are shown to be incomplete. The rectified versions of these expressions are provided in this paper. An additional contribution of this work is the development of a formal framework for the conditions for appropriateness of FOPTD as the proposed model structure based on sensitivity analysis of the PWT. It is shown that this framework can be used to determine the appropriateness of an SOPTD structure as well. Simulation studies are presented to support the above. © 2008 Elsevier Ltd. All rights reserved.
About the journal
JournalJournal of Process Control
ISSN09591524
Open AccessNo
Concepts (19)
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    Control theory
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    Model structures
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    Poisson equation
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    Sensitivity analysis
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    Speed control
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    Time delay
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    Wavelet transforms
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    Wind tunnels
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    Analytical expressions
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    FORMAL FRAMEWORKS
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    MODEL ESTIMATIONS
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    MODEL IDENTIFICATIONS
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    Model parameters
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    POISSON WAVELET TRANSFORM
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    POISSON WAVELETS
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    Simulation studies
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    SYSTEM IDENTIFICATION
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    System identifications
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    Poisson distribution