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 …

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 …

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 …

Hierarchical gradient-based iterative parameter estimation algorithms for a nonlinear feedback system based on the hierarchical identification principle

D Yang, Y Liu, F Ding, E Yang - Circuits, Systems, and Signal Processing, 2024 - Springer
This paper focuses on iterative parameter estimation methods for a nonlinear closed-loop
system (ie, a nonlinear feedback system) with an equation-error model for the open-loop …

Iterative parameter identification algorithms for transformed dynamic rational fraction input–output systems

G Miao, F Ding, Q Liu, E Yang - Journal of Computational and Applied …, 2023 - Elsevier
The rational fraction system is a special nonlinear system, the existence of the denominator
polynomial leads to the difficulty of identifying rational fraction models. Inspired by the …

Fuzzy adaptive optimal backstepping control of the FO MEMS resonator under imprecise target trajectory with disturbance compensation mechanism

L Zhao, G Yang, Y Li, X Hu - Nonlinear Dynamics, 2023 - Springer
With the deep research of the fractional-order (FO) calculus theory, it has been found that the
FO model can more realistically depict electromechanical devices with viscoelastic …

Filtered generalized iterative parameter identification for equation‐error autoregressive models based on the filtering identification idea

F Ding, X Shao, L Xu, X Zhang, H Xu… - International Journal of …, 2024 - Wiley Online Library
By using the collected batch data and the iterative search, and based on the filtering
identification idea, this article investigates and proposes a filtered multi‐innovation …