State of art on state estimation: Kalman filter driven by machine learning

Y Bai, B Yan, C Zhou, T Su, X ** - Annual Reviews in Control, 2023 - Elsevier
The Kalman filter (KF) is a popular state estimation technique that is utilized in a variety of
applications, including positioning and navigation, sensor networks, battery management …

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 …

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 …

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 …

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 …

Online identification methods for a class of Hammerstein nonlinear systems using the adaptive particle filtering

H Xu, L Xu, S Shen - Chaos, Solitons & Fractals, 2024 - Elsevier
Hammerstein structure is commonly used for describing nonlinear dynamic characteristics,
and its identification is a basic premise of nonlinear system analysis and control. This paper …

Adaptive multi-innovation gradient identification algorithms for a controlled autoregressive autoregressive moving average model

L Xu, H Xu, F Ding - Circuits, Systems, and Signal Processing, 2024 - Springer
The controlled autoregressive autoregressive moving average (CARARMA) models are of
popularity to describe the evolution characteristics of dynamical systems. To overcome the …

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 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 …