An identification algorithm of generalized time-varying systems based on the Taylor series expansion and applied to a pH process

Y Ji, J Liu, H Liu - Journal of Process Control, 2023 - Elsevier
This paper studies the generalized time-varying systems identification problem by means of
a time-varying parameter expression. The basic idea is to propose an extended stochastic …

Recursive identification methods for general stochastic systems with colored noises by using the hierarchical identification principle and the filtering identification idea

F Ding, L Xu, X Zhang, Y Zhou, X Luan - Annual Reviews in Control, 2024 - Elsevier
This article reviews and investigates several basic recursive parameter identification
methods for a general stochastic system with colored noise (ie, output-error autoregressive …

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 …

Filtered auxiliary model recursive generalized extended parameter estimation methods for Box–Jenkins systems by means of the filtering identification idea

F Ding, L Xu, X Zhang, Y Zhou - International Journal of Robust …, 2023 - Wiley Online Library
For equation‐error autoregressive moving average systems, that is, Box–Jenkins systems,
this paper presents a filtered auxiliary model generalized extended stochastic gradient …

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 …

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 …

Multi‐innovation gradient‐based iterative identification methods for feedback nonlinear systems by using the decomposition technique

D Yang, F Ding - International Journal of Robust and Nonlinear …, 2023 - Wiley Online Library
This paper studies the parameter estimation problems of feedback nonlinear systems.
Combining the multi‐innovation identification theory with the negative gradient search, we …