Approximating nonlinear systems by nonlinear ARMA and AR models

R.D Degroat,D.A Linebarger,L.R Hunt

doi:10.1109/icassp.1992.226582

Approximating nonlinear systems by nonlinear ARMA and AR models

R.D Degroat, D.A Linebarger + Show 1 more

https://doi.org/10.1109/icassp.1992.226582

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Publication Date: Jan 1, 1992

Affiliation: The University of Texas at Dallas

#Nonlinear Autoregressive Models #Nonlinear Autoregressive + Show 8 more

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Abstract

A nonlinear autoregressive (AR) and AR moving average (ARMA) approximation theory is developed for an important class of nonlinear systems, namely, feedback linearizable systems with polynomial nonlinearities. The focus is on nonlinear AR models (NAR) because (1) the NAR parameters can be estimated via linear equations, (2) NAR models can be used to approximate almost any nonlinear system, and (3) compact difference equation and state space forms exist for this class of models. >

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