Data driven discrete-time parsimonious identification of a nonlinear state-space model for a weakly nonlinear system with short data record

R Relan, K Tiels, A Marconato, P Dreesen… - … Systems and Signal …, 2018 - Elsevier
Many real world systems exhibit a quasi linear or weakly nonlinear behavior during normal
operation, and a hard saturation effect for high peaks of the input signal. In this paper, a …

An unstructured flexible nonlinear model for the cascaded water-tanks benchmark

R Relan, K Tiels, A Marconato, J Schoukens - IFAC-PapersOnLine, 2017 - Elsevier
Many real world systems exhibit a quasi linear or weakly nonlinear behavior during normal
operation, and a hard saturation effect for high peaks of the input signal. A typical example of …

Parameter identification of systems with multiple disproportional local nonlinearities

J Prawin, ARM Rao, A Sethi - Nonlinear Dynamics, 2020 - Springer
Identification of nonlinear systems, especially with multiple local nonlinearities exhibiting
disproportional ratios of the degree of nonlinearity and present at a single or multiple spatial …

A two-stage algorithm for identification of nonlinear dynamic systems

K Li, JX Peng, EW Bai - Automatica, 2006 - Elsevier
This paper investigates the two-stage stepwise identification for a class of nonlinear dynamic
systems that can be described by linear-in-the-parameters models, and the model has to be …

Identifying an Unstructured Flexible Nonlinear Model for the Cascaded Water-tanks Benchmark: Capabilities and Short-comings

R Relan, K Tiels, A Marconato - Workshop on Nonlinear …, 2016 - researchportal.vub.be
In this case study, we will illustrate the capabilities, flexibility and short-comings of an
unstructured nonlinear modelling approach applied to the cascased tanks system …

[HTML][HTML] Data-driven recursive least squares methods for non-affined nonlinear discrete-time systems

N Lin, R Chi, B Huang - Applied Mathematical Modelling, 2020 - Elsevier
Aiming at identifying nonlinear systems, one of the most challenging problems in system
identification, a class of data-driven recursive least squares algorithms are presented in this …

Parameter estimation in complex nonlinear dynamical systems

QD Vu - 2015 - db-thueringen.de
The aim of this dissertation is to develop mathematical/numerical approaches to parameter
estimation in nonlinear dynamical systems that are modeled by ordinary differential …

Online identification of nonlinear spatiotemporal systems using kernel learning approach

H Ning, X Jing, L Cheng - IEEE Transactions on neural …, 2011 - ieeexplore.ieee.org
The identification of nonlinear spatiotemporal systems is of significance to engineering
practice, since it can always provide useful insight into the underlying nonlinear mechanism …

Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach

RD Velázquez-Sánchez, JO Escobedo-Alva… - Applied Sciences, 2024 - mdpi.com
Most works related to the identification of mathematical nonlinear systems suggest that such
approaches can always be directly applied to any nonlinear system. This misconception is …

Identification of continuous-time nonlinear systems: The nonlinear difference equation with moving average noise (NDEMA) framework

B Zhang, SA Billings - Mechanical Systems and Signal Processing, 2015 - Elsevier
Although a vast number of techniques for the identification of nonlinear discrete-time
systems have been introduced, the identification of continuous-time nonlinear systems is still …