Journal ArticleDOI
Identification of systems containing linear dynamic and static nonlinear elements
TLDR
It is shown that systems composed of cascade, feedforward, feedback and multiplicative connections of linear dynamic and zero memory nonlinear elements can be identified in terms of the individual component subsystems from measurements of the system input and output only.About:
This article is published in Automatica.The article was published on 1982-01-01. It has received 446 citations till now. The article focuses on the topics: Linear system & Nonlinear control.read more
Citations
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Journal ArticleDOI
Input-output parametric models for non-linear systems Part II: stochastic non-linear systems
TL;DR: Recursive input-output models for non-linear multivariate discrete-time systems are derived, and sufficient conditions for their existence are defined.
Book
Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains
TL;DR: The NARMAX (nonlinear autoregressive moving average with exogenous inputs) model as mentioned in this paper allows models to be built term by term where the error reduction ratio reveals the percentage contribution of each model term Statistical and qualitative model validation methods that can be applied to any model class Generalised frequency response functions which provide significant insight into nonlinear behaviours.
Journal ArticleDOI
Structure identification of nonlinear dynamic systems—a survey on input/output approaches
R. Haber,Heinz Unbehauen +1 more
TL;DR: In this paper structure identification of block-oriented (especially cascade) models, of semi-linear dynamic models with signal-dependent parameters and of non linear dynamic models being linear in the parameters will be considered.
Journal ArticleDOI
The identification of nonlinear biological systems: Wiener and Hammerstein cascade models
W I Hunter,Michael J. Korenberg +1 more
TL;DR: Various identification schemes that have been proposed for the Hammerstein and Wiener systems are critically reviewed with reference to the special problems that arise in the identification of nonlinear biological systems.
Journal ArticleDOI
Correlation based model validity tests for non-linear models
TL;DR: In this article, correlation based model validity tests are derived that detect omitted linear and non-linear dynamic terms in estimated models, and they are used to detect outliers in models.
References
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Journal ArticleDOI
An iterative method for the identification of nonlinear systems using a Hammerstein model
Kumpati S. Narendra,P. Gallman +1 more
TL;DR: 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.
Journal ArticleDOI
Measurement of the Wiener Kernels of a Non-linear System by Cross-correlation†
Y. W. Lee,M. Schetzen +1 more
TL;DR: In this article, a practical and relatively simple method of measuring the Wiener kernels of a non-linear system is presented, which is based upon cross-correlation techniques and avoids orthogonal expansions such as those of the original Wiener method of measurement.
Identification of Nonlinear Systems- A Survey
TL;DR: A survey of nonlinear system identification algorithms and related topics is presented by extracting significant results from the literature and presenting these in an organised and systematic way as discussed by the authors, where the limitations, relationships and applicability of the methods are discussed throughout.
Continuous nonlinear systems
TL;DR: In this paper, a thesis submitted to M.I.T. Dept. of Electrical Engineering, July 24, 1959, is described, based on which the following paper is presented: