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Benefits of the Input Minimum Phase Property for Linearization of Nonlinear Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2005 (English)In: Proceedings of the 2005 International Symposium on Nonlinear Theory and Its Applications, 2005, 618- p.Conference paper, Published paper (Refereed)
Abstract [en]

Linear approximations of nonlinear systems can be obtained by fitting a linear model to data from a nonlinear system, for example, using the prediction-error method. In many situations, the type of linear model and the model orders are selected after estimating several models and evaluating them using various validation techniques. Two commonly used validation methods for linear models are spectral and residual analysis. Unfortunately, these methods will not always work if the true system is nonlinear. However, if the input can be viewed as if it has been generated by filtering white noise through a minimum phase filter, spectral and residual analysis can be used for validation of linear models of nonlinear systems. Furthermore, it can be shown that the input minimum phase property guarantees that a certain optimality result will hold. Here, the benefits of using minimum phase instead of non-minimum phase filters for input design will be shown both theoretically and in numerical experiments.

Place, publisher, year, edition, pages
2005. 618- p.
Keyword [en]
System identification, Nonlinear system, Linear approximation, Minimum phase, Input design
National Category
Engineering and Technology Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-31137Local ID: 16873OAI: oai:DiVA.org:liu-31137DiVA: diva2:251960
Conference
2005 International Symposium on Nonlinear Theory and Its Applications, Bruges, Belgium, October, 2005
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2013-02-26

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