LTI Approximations of Slightly Nonlinear Systems: Some Intriguing Examples
2004 (English)In: Proceedings of Reglermöte 2004, 2004Conference paper (Other academic)
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
System identification, Nonlinear systems, Linearization
Engineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-23733Local ID: 3240OAI: oai:DiVA.org:liu-23733DiVA: diva2:244048
Reglermöte 2004, Göteborg, Sweden, May, 2004