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 …

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 …

Parameter and order estimation algorithms and convergence analysis for lithium‐ion batteries

C Hu, H Liu, Y Ji - … Journal of Robust and Nonlinear Control, 2023‏ - Wiley Online Library
The fractional‐order equivalent circuit model can reflect the internal reaction mechanism of a
lithium‐ion battery well. This article aims to design an effective model and optimization …

Parameter estimation of fractional‐order Hammerstein state space system based on the extended Kalman filter

Y Bi, Y Ji - International Journal of Adaptive Control and Signal …, 2023‏ - Wiley Online Library
This paper addresses the combined estimation issues of the parameters and states for
fractional‐order Hammerstein state space systems with colored noises. An extended state …