Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory

Y Wang, S Tang, M Deng - International Journal of Robust and …, 2022 - Wiley Online Library
The nonlinear autoregressive exogenous (NARX) model shows a strong expression
capacity for nonlinear systems since these systems have limited information about their …

Filtered multi‐innovation‐based iterative identification methods for multivariate equation‐error ARMA systems

S Sun, L Xu, F Ding, J Sheng - International Journal of …, 2023 - Wiley Online Library
This paper focuses on the parameter estimation issues of multivariate equation‐error
autoregressive moving average systems. By applying the gradient search and the multi …

Low-rank tensor decompositions for nonlinear system identification: A tutorial with examples

K Batselier - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
Tensor decompositions can be a powerful tool when faced with the curse of dimensionality
and have been applied in myriad applications. Their application to problems in the control …

Hammerstein-Wiener nonlinear system identification by using honey badger algorithm hybridized Sage-Husa adaptive Kalman filter with real-time applications

L Janjanam, SK Saha, R Kar, D Mandal - AEU-international Journal of …, 2022 - Elsevier
This paper introduces a hybrid Sage-Husa adaptive Kalman filter (SHAKF) with a
metaheuristic algorithm to estimate the parameters of the Hammerstein-Wiener (HW) model …

Tensor wiener filter

SY Chang, HC Wu - IEEE Transactions on Signal Processing, 2022 - ieeexplore.ieee.org
In signal processing and data analytics, Wiener filter is a classical powerful tool to transform
an input signal to match a desired or target signal by a linear time-invariant (LTI) filter. The …

Tensor Kalman filter and its applications

SY Chang, HC Wu - IEEE Transactions on Knowledge and Data …, 2022 - ieeexplore.ieee.org
Kalman filter is one of the most important estimation algorithms, which estimates certain
unknown variables given the measurements observed over time subject to a dynamic …

Optimal design of cascaded Wiener-Hammerstein system using a heuristically supervised discrete Kalman filter with application on benchmark problems

L Janjanam, SK Saha, R Kar, D Mandal - Expert Systems with Applications, 2022 - Elsevier
Block oriented models are recurrently employed to describe the dynamic characteristics of
nonlinear systems. This paper adopts an efficacious block-oriented model called cascaded …

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 …

Tensor quantization: High-dimensional data compression

SY Chang, HC Wu - IEEE Transactions on Circuits and Systems …, 2022 - ieeexplore.ieee.org
Quantization is an important technique to transform the input sample values from a large set
(or a continuous range) into the output sample values in a small set (or a finite set). It has …

Parameter identification of dual-rate Hammerstein-Volterra nonlinear systems by the hybrid particle swarm-gradient algorithm based on the auxiliary model

T Zong, J Li, G Lu - Engineering Applications of Artificial Intelligence, 2023 - Elsevier
This paper aims at the parameter estimation of dual-rate Hammerstein-Volterra (DR-HV)
systems. The auxiliary model (AM) method is applied to solve the incomplete identification …