Separable Newton recursive estimation method through system responses based on dynamically discrete measurements with increasing data length

L Xu - International Journal of Control, Automation and …, 2022 - Springer
Many control techniques rely on the mathematical models of the systems to be controlled.
This paper copes with the modelling problem of dynamical systems aiming to develop highly …

Hierarchical recursive least squares estimation algorithm for secondorder Volterra nonlinear systems

J Pan, S Liu, J Shu, X Wan - … Journal of Control, Automation and Systems, 2022 - Springer
This paper considers the parameter identification problems of a Volterra nonlinear system. In
order to overcome the excessive calculation amount of the Volterra systems, a hierarchical …

Separable multi-innovation Newton iterative modeling algorithm for multi-frequency signals based on the sliding measurement window

L Xu - Circuits, Systems, and Signal Processing, 2022 - Springer
Signal modeling is an important technique in many engineering applications. This paper is
concerned about signal modeling problem for the sine multi-frequency signals or periodic …

A novel nonlinear optimization method for fitting a noisy Gaussian activation function

J Li, F Ding, T Hayat - … Journal of Adaptive Control and Signal …, 2022 - Wiley Online Library
It is significant to fit a Gaussian function with the observation data for artificial intelligence or
other engineering fields. Considering the influence of noises, this article proposes a …

Hierarchical gradient-and least squares-based iterative algorithms for input nonlinear output-error systems using the key term separation

F Ding, H Ma, J Pan, E Yang - Journal of the Franklin Institute, 2021 - Elsevier
This paper considers the parameter identification problems of the input nonlinear output-
error (IN-OE) systems, that is the Hammerstein output-error systems. In order to overcome …

Filtering‐based recursive least squares estimation approaches for multivariate equation‐error systems by using the multiinnovation theory

P Ma, L Wang - International Journal of Adaptive Control and …, 2021 - Wiley Online Library
This article researches the filtering‐based parameter estimation issues for a class of
multivariate control systems with colored noise. A filtering‐based recursive generalized …

Overall recursive least squares and overall stochastic gradient algorithms and their convergence for feedback nonlinear controlled autoregressive systems

C Wei, X Zhang, L Xu, F Ding… - International Journal of …, 2022 - Wiley Online Library
This article deals with the problems of the parameter estimation for feedback nonlinear
controlled autoregressive systems (ie, feedback nonlinear equation‐error systems). The …

Moving data window-based partially-coupled estimation approach for modeling a dynamical system involving unmeasurable states

T Cui, F Ding, T Hayat - ISA transactions, 2022 - Elsevier
The simultaneous parameter and state estimation for a multi-input multi-output (MIMO) state
space system from a set of measurement data is taken into account in this paper. Firstly, in …

Iterative parameter identification algorithms for the generalized time‐varying system with a measurable disturbance vector

A Jiang, Y Ji, L Wan - … Journal of Robust and Nonlinear Control, 2022 - Wiley Online Library
This article deals with the parameter identification of the generalized time‐varying systems.
The time‐varying parameter vector can be expressed as a coefficient matrix multiplied by a …

Decomposition‐based over‐parameterization forgetting factor stochastic gradient algorithm for Hammerstein‐Wiener nonlinear systems with non‐uniform sampling

Q Liu, Y Xiao, F Ding, T Hayat - International Journal of Robust …, 2021 - Wiley Online Library
This article investigates the parameter estimation problems of Hammerstein‐Wiener
nonlinear systems with non‐uniform sampling. The over‐parameterization identification …