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Journal ArticleDOI

An iterative method for the identification of nonlinear systems using a Hammerstein model

Kumpati S. Narendra, +1 more
- 01 Jul 1966 - 
- Vol. 11, Iss: 3, pp 546-550
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TLDR
In this article, an iterative method is proposed for the identification of nonlinear systems from samples of inputs and outputs in the presence of noise, which consists of a no-memory gain (of an assumed polynomial form) followed by a linear discrete system.
Abstract
An iterative method is proposed for the identification of nonlinear systems from samples of inputs and outputs in the presence of noise. The model used for the identification consists of a no-memory gain (of an assumed polynomial form) followed by a linear discrete system. The parameters of the pulse transfer function of the linear system and the coefficients of the polynomial non-linearity are alternately adjusted to minimize a mean square error criterion. Digital computer simulations are included to demonstrate the feasibility of the technique.

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Citations
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Journal ArticleDOI

Consistent parameter estimation and convergence properties analysis of hammerstein output-error models

TL;DR: This paper presents an on-line bias-compensating recursive least squares (BCRLS) identification algorithm for Hammerstein output-error models disturbed by non-martingale difference sequence noise that achieves consistent parameter estimation without the strictly positive real (SPR) condition.
Journal ArticleDOI

Nonlinear system identification under various prior knowledge

TL;DR: Several algorithms for nonlinear system identification exploit various degrees of prior knowledge - from parametric - to nonparametric, until a semiparametric algorithm, which shares advantages of both approaches is announced.
Proceedings ArticleDOI

Recursive Identification of Dynamic Systems with Time-Varying Memoryless Nonlinearities having Deadbands

TL;DR: An algorithm has been developed for the recursive identification of nonlinear systems from input and output measurement data by representing the nonlinearity as a shifted polynomial, where the shift (along the input axis) models the deadband.
Proceedings ArticleDOI

Nonlinear convolution and fourier series coefficients estimate

TL;DR: An original description of the procedure for the modeling of nonlinear systems based on the socalled non linear convolution approach is reported and a Fourier Series implementation of the model allows a significant reduction in the associated computational cost.
Journal ArticleDOI

Identification of wiener-hammerstein models with cubic nonlinearity using lifred

TL;DR: In this paper, the identification of Wiener-Hammerstein models using linear interpolation in the frequency domain (LIFRED) is extended from models with quadratic nonlinearity to models with cubic non-linearity.
References
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Journal ArticleDOI

A technique for the identification of linear systems

TL;DR: In this paper, an iterative technique is proposed to identify a linear system from samples of its input and output in the presence of noise by minimizing the mean-square error between system and model outputs.
Journal ArticleDOI

On the Identification Problem

TL;DR: In this paper, the identification of zero-memory multipoles and two-poles of class n_1 was studied, where the test signals are sine waves of different amplitudes and frequencies, and the measured quanity is the describing function of the device.
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