Nonlinear system identification: A user-oriented road map

J Schoukens, L Ljung - IEEE Control Systems Magazine, 2019 - ieeexplore.ieee.org
Nonlinear system identification is an extremely broad topic, since every system that is not
linear is nonlinear. That makes it impossible to give a full overview of all aspects of the fi eld …

Two‐stage auxiliary model gradient‐based iterative algorithm for the input nonlinear controlled autoregressive system with variable‐gain nonlinearity

Y Fan, X Liu - International Journal of Robust and Nonlinear …, 2020 - Wiley Online Library
This article focuses on the parameter estimation problem of the input nonlinear system
where an input variable‐gain nonlinear block is followed by a linear controlled …

Parameter estimation for nonlinear Volterra systems by using the multi-innovation identification theory and tensor decomposition

Y Wang, S Tang, X Gu - Journal of the Franklin Institute, 2022 - Elsevier
The Volterra model can represent a wide range of nonlinear dynamical systems. However,
its practical use in nonlinear system identification is limited due to the exponentially growing …

[HTML][HTML] Deep subspace encoders for nonlinear system identification

GI Beintema, M Schoukens, R Tóth - Automatica, 2023 - Elsevier
Abstract Using Artificial Neural Networks (ANN) for nonlinear system identification has
proven to be a promising approach, but despite of all recent research efforts, many practical …

Volterra and Wiener model based temporally and spatio-temporally coupled nonlinear system identification: A synthesized review

S Gupta, AK Sahoo, UK Sahoo - IETE Technical Review, 2021 - Taylor & Francis
Nonlinear problems have drawn the attention of many researchers, engineers and scientists
as most of the real systems are inherently nonlinear in nature. These systems widely exist in …

[HTML][HTML] Global gravitational search algorithm-aided Kalman filter design for Volterra-based nonlinear system identification

L Janjanam, SK Saha, R Kar, D Mandal - Circuits, Systems, and Signal …, 2021 - Springer
This paper proposes an efficient global gravitational search (GGS) algorithm-assisted
Kalman filter (KF) design, called a GGS-KF technique, for accurate estimation of the Volterra …

Efficient Volterra systems identification using hierarchical genetic algorithms

LS de Assis, JRP Junior, L Tarrataca, DB Haddad - Applied Soft Computing, 2019 - Elsevier
The Volterra series consists of a powerful method for the identification of non-linear
relationships. However, the identification of the series active basis sets requires intense …

Optimal Volterra-based nonlinear system identification using arithmetic optimization algorithm assisted with Kalman filter

S Singh, A Ashok, TK Rawat - Evolving Systems, 2023 - Springer
This paper presents the handling of nonlinear system identification problem based on
Volterra-type nonlinear systems. An efficient arithmetic optimization algorithm (AOA) along …

Parameter estimation of parallel Wiener-Hammerstein systems by decoupling their Volterra representations

P Dreesen, M Ishteva - IFAC-PapersOnLine, 2021 - Elsevier
Nonlinear dynamic systems are often approximated by a Volterra series, which is a
generalization of the Taylor series for systems with memory. However, the Volterra series …

A dual averaging algorithm for online modeling of infinite memory nonlinear systems

S Łagosz, P Wachel, P Śliwiński - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
An online modeling algorithm is derived from a generic stochastic dual averaging (DA)
method. It employs a negative entropy as a distance-generating function and the Volterra …