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IMA Journal of Mathematical Control and Information Advance Access originally published online on September 15, 2006
IMA Journal of Mathematical Control and Information 2007 24(3):315-337; doi:10.1093/imamci/dnl025
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Estimation of nonlinear systems without a priori structural information and its application in Hammerstein model identification with dynamic nonlinearities

Er-Wei Bai{dagger} and Yun Liu

Department of Electrical and Computer Engineering, University of Iowa

{dagger} Email: er-wei-bai{at}uiowa.edu

Received on July 30, 2005; Accepted on July 23, 2006

In the paper, we discuss identification of a nonlinear system without structural information and propose two methods, the kernel method and the orthonormal basis method. The convergence results are established for both methods without a priori structural information. We then apply the results to identification of Hammerstein models with an unknown dynamic nonlinearity. It is also shown that identification of the linear part in Hammerstein models is possible with no knowledge of the dynamic nonlinearity.

Keywords: system identification; parameter estimation; nonlinear system.


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