Identification of systems containing linear dynamic and static nonlinear elements

Authors:
S. A. Billings;S. Y. Fakhouri
Affiliations:
Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, U.K.;Postgraduate School of Control Engineering, Bradford University, Bradford BD7 1DP, U.K.
Venue:
Automatica (Journal of IFAC)
Year:
1982

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Abstract

Identification of nonlinear systems which can be represented by combinations of linear dynamic and static nonlinear elements are considered. Previous results by the authors based on correlation analysis are combined to provide a unified treatment for this class of systems. It is shown that systems composed of cascade, feedforward, feedback and multiplicative connections of linear dynamic and zero memory nonlinear elements can be identified in terms of the individual component subsystems from measurements of the system input and output only.