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A Local Nonlinear Model for the Approximation and Identification of a Class of Systems

Koeppl, H. (2009):
A Local Nonlinear Model for the Approximation and Identification of a Class of Systems.
In: IEEE Transactions on Circuits and Systems II: Express Briefs, 56 (4), pp. 315-319. [Article]

Abstract

The special form of the Laplace-domain Volterra kernels for linear-analytic systems is exploited to obtain an approximate model that obeys an appealingly simple feedforward block structure. It comprises a composition of the linearization and the multivariate nonlinear function of the original system. The model does not involve a truncation in the power series expansion nor in the memory depths and offers an economic parameterization. It is shown to be linearly identifiable in one step if <i>a</i> <i>priori</i> information about the linearized dynamics is provided. We present simulation results for a simple nonlinear circuit showing the validity of the model.

Item Type: Article
Erschienen: 2009
Creators: Koeppl, H.
Title: A Local Nonlinear Model for the Approximation and Identification of a Class of Systems
Language: English
Abstract:

The special form of the Laplace-domain Volterra kernels for linear-analytic systems is exploited to obtain an approximate model that obeys an appealingly simple feedforward block structure. It comprises a composition of the linearization and the multivariate nonlinear function of the original system. The model does not involve a truncation in the power series expansion nor in the memory depths and offers an economic parameterization. It is shown to be linearly identifiable in one step if <i>a</i> <i>priori</i> information about the linearized dynamics is provided. We present simulation results for a simple nonlinear circuit showing the validity of the model.

Journal or Publication Title: IEEE Transactions on Circuits and Systems II: Express Briefs
Journal volume: 56
Number: 4
Uncontrolled Keywords: Nonlinear system,Volterra series,reduced order systems,system identification
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems
18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications
Date Deposited: 04 Apr 2014 12:42
Official URL: http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=4801647
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