LTI Approximations of Slightly Nonlinear Systems: Some Intriguing Examples
2005 (English)Report (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
Linköping: Linköping University Electronic Press, 2005. , 14 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2655
System identification, Nonlinear systems, Linearization
IdentifiersURN: urn:nbn:se:liu:diva-56014ISRN: LiTH-ISY-R-2655OAI: oai:DiVA.org:liu-56014DiVA: diva2:316719