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LTI Approximations of Slightly Nonlinear Systems: Some Intriguing Examples
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2004 (English)In: Proceedings of Reglermöte 2004, 2004Conference paper, Published paper (Other academic)
Abstract [en]

Approximations of slightly nonlinear systems with linear time-invariant (LTI) models are often used in applications. Here, LTI models that are optimal approximations in the mean-square error sense are studied. It is shown that these models can be very sensitive to small nonlinearities. Furthermore, the significance of the distribution of the input process is discussed. From the examples studied here, it seems that LTI approximations for inputs with distributions that are Gaussian or almost Gaussian are less sensitive to small nonlinearities.

Place, publisher, year, edition, pages
2004.
Keyword [en]
System identification, Nonlinear systems, Linearization
National Category
Engineering and Technology Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-23733Local ID: 3240OAI: oai:DiVA.org:liu-23733DiVA: diva2:244048
Conference
Reglermöte 2004, Göteborg, Sweden, May, 2004
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-03-25

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Enqvist, MartinLjung, Lennart

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