Desenvolvimento de modelos discretos de Volterra usando funções de kautz

AUTOR(ES)

Alex da Rosa

DATA DE PUBLICAÇÃO

2005

RESUMO

This work investigates the modelling of nonlinear systems using the Wiener/Volterra models with Kautz orthonormal functions. The Volterra models constitute a generalization of the impulse response model to describe nonlinear systems. Such models require a large number of terms for representing the Volterra kernels. However, this complexity can be reduced by using Wiener/Volterra models, in which the kernels are expanded using an orthonormal basis functions. Aspects about selection of the free parameters (poles) characterizing theses functions are discussed, in particular the optimal selection of the complex poles of the Kautz functions. This problem is solved by minimizing the upper bound of the error arising from the truncated approximation of Volterra kernels using Kautz functions. An analytical solution for the optimal choice of one of the parameters related to the Kautz pole is thus obtained, with the results valid for any-order Wiener/Volterra models. Simulations that illustrate the methodology described above are presented. Also, the modelling of a magnetic levitation system is discussed.

ASSUNTO(S)

volterra series rhonormal basis functions system identification sistemas não-lineares series de optimization otimização matematica nonlinear systems volterra

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