Title :
A Local Nonlinear Model for the Approximation and Identification of a Class of Systems
Author_Institution :
Sch. of Comput. & Commun. Sci., Ecole Polytech. Fed. de Lausanne, Lausanne
fDate :
4/1/2009 12:00:00 AM
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 a priori information about the linearized dynamics is provided. We present simulation results for a simple nonlinear circuit showing the validity of the model.
Keywords :
approximation theory; identification; linear systems; nonlinear control systems; reduced order systems; Laplace-domain Volterra kernels; linear-analytic systems; local nonlinear model; multivariate nonlinear function; nonlinear circuit; power series expansion; reduced order systems; Nonlinear system; Volterra series; reduced order systems; system identification;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2009.2015383
