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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

Kautz basis expansion-based Hammerstein system identification through separable least squares method

TL;DR: In this article, the authors proposed a novel Hammerstein system identification method based on the Kautz basis expansion and the separable least squares method, which can simultaneously estimate the linear and nonlinear parameters in a least squares framework.
Journal ArticleDOI

Hammerstein system identification with quantised inputs and quantised output observations

TL;DR: In this article, a three-step algorithm is proposed to estimate the unknown parameters for the identifiable system and the strong convergence and the mean-square convergence rate of the algorithm are established, which can be achieved in terms of the Cramer-Rao lower bound by selecting a suitable transformation matrix.
Proceedings ArticleDOI

Blind Hammerstein Identification for MR Damper Modeling

TL;DR: A new blind approach to identification of Hammerstein systems, where a static nonlinearity precedes a linear dynamic system, is proposed by exploiting input's piece-wise constant property.
Journal ArticleDOI

On identification of block orientated systems by non-parametric techniques

TL;DR: An optimal model of a memoryless cascade system is derived and estimated by kernel regression and nonlinear dynamic systems of the Hammerstein and Wiener type are identified by means of non-parametric techniques.
Journal ArticleDOI

Closed-Loop Identification of Hammerstein Systems with Application to Gas Turbines

TL;DR: In this article, an iterative gradient-based method is proposed to simultaneously identify the nonlinear fuel valve characteristic and a low-order linear plant model in gas turbine applications that leverages a priori knowledge of both nonlinearity and engine dynamics.
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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