LTI Approximations of Slightly Nonlinear Systems: Some Intriguing Examples
2004 (English)In: Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, 2004, 639- p.Conference paper (Refereed)
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. 639- p.
System identification, Nonlinear systems, Linearization
Engineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-31696Local ID: 17514OAI: oai:DiVA.org:liu-31696DiVA: diva2:252519
6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, September, 2004