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Identification of a Class of TimeVarying Nonlinear System Based on the Wiener Model with Application to Automotive Engineering
Jonathon C. RALSTON Abdelhak M. ZOUBIR Boualem BOASHASH
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E78A
No.9
pp.11921200 Publication Date: 1995/09/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications) Category: Keyword: system identification, nonlinear, timevarying, Wiener model, automotive engineering,
Full Text: PDF>>
Summary:
We consider the identification of a class of systems which are both timevarying and nonlinear. Timevarying nonlinear systems are often encountered in practice, but tend to be avoided due to the difficulties that arise in modelling and estimation. We study a particular timevarying polynomial model, which is a member of the class of timevarying Wiener models. The model can characterise both timevariation and nonlinearity in a straightforward manner, without requiring an excessively large number of coefficients. We formulate a procedure to find leastsquares estimates of the model coefficients. An advantage of the approach is that systems with rapidly changing dynamics can be characterised. In addition, we do not require that the input is stationary or Gaussian. The approach is validated with an application to an automobile modelling problem, where a timevarying nonlinear model is seen to more accurately characterise the system than a timeinvariant nonlinear one.

