Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data

F Ding - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Least squares is an important method for solving linear fitting problems and quadratic
optimization problems. This paper explores the properties of the least squares methods and …

Separable synthesis gradient estimation methods and convergence analysis for multivariable systems

L Xu, F Ding - Journal of Computational and Applied Mathematics, 2023 - Elsevier
This paper studies the parameter identification problem for a large-scale multivariable
systems. In terms of the identification obstacle causing by huge amounts of parameters of …

Gradient-based parameter estimation for a nonlinear exponential autoregressive time-series model by using the multi-innovation

J Pan, Y Liu, J Shu - International Journal of Control, Automation and …, 2023 - Springer
The parameter estimation methods for the nonlinear exponential autoregressive model are
investigated in this paper. We develop a forgetting factor gradient parameter estimation …

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 …

Virtual coupling in railways: A comprehensive review

J Felez, MA Vaquero-Serrano - Machines, 2023 - mdpi.com
The current mobility situation is constantly changing as people are increasingly moving to
urban areas. Therefore, a flexible mode of transport with high-capacity passenger trains and …

Joint two‐stage multi‐innovation recursive least squares parameter and fractional‐order estimation algorithm for the fractional‐order input nonlinear output‐error …

C Hu, Y Ji, C Ma - International Journal of Adaptive Control and …, 2023 - Wiley Online Library
This paper mainly investigates the issue of parameter identification for the fractional‐order
input nonlinear output error autoregressive (IN‐OEAR) model. In order to avoid the problem …

Hierarchical gradient‐and least‐squares‐based iterative estimation algorithms for input‐nonlinear output‐error systems from measurement information by using the …

F Ding, L Xu, X Zhang, H Ma - International Journal of Robust …, 2024 - Wiley Online Library
This article investigates the parameter identification problems of the stochastic systems
described by the input‐nonlinear output‐error (IN‐OE) model. This IN‐OE model consists of …

A cooperative collision-avoidance control methodology for virtual coupling trains

S Su, W Liu, Q Zhu, R Li, T Tang, J Lv - Accident Analysis & Prevention, 2022 - Elsevier
To further improve the line transport capacity, virtual coupling has become a frontier hot topic
in the field of rail transit. Specially, the safe and efficient following control strategy based on …

Decomposition and composition modeling algorithms for control systems with colored noises

L Xu, F Ding - International Journal of Adaptive Control and …, 2024 - Wiley Online Library
This article proposes a novel identification framework for estimating the parameters of the
controlled autoregressive autoregressive moving average (CARARMA) models with colored …

Parameter estimation and model-free multi-innovation adaptive control algorithms

X Liu, P Qin - International Journal of Control, Automation and …, 2024 - Springer
Parameter estimation is the basis of adaptive control for dynamic systems. This paper
surveys and reviews some parameter estimation methods, including the projection …