A local nonlinear model for the approximation and identification of a class of systems

  • Authors:
  • Heinz Koeppl

  • Affiliations:
  • Laboratory of Nonlinear Systems, School of Computer and Communication Sciences, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland

  • Venue:
  • IEEE Transactions on Circuits and Systems II: Express Briefs
  • Year:
  • 2009

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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.