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

Y Bai, B Yan, C Zhou, T Su, X Jin - 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 …

Separable Newton recursive estimation method through system responses based on dynamically discrete measurements with increasing data length

L Xu - International Journal of Control, Automation and …, 2022 - Springer
Many control techniques rely on the mathematical models of the systems to be controlled.
This paper copes with the modelling problem of dynamical systems aiming to develop highly …

Parameter estimation for nonlinear functions related to system responses

L Xu - International Journal of Control, Automation and …, 2023 - Springer
This paper considers the parameter estimation problem of nonlinear models, which are
related to the impulse or step response functions of linear time-invariant (LTI) dynamical …

Separable multi-innovation Newton iterative modeling algorithm for multi-frequency signals based on the sliding measurement window

L Xu - Circuits, Systems, and Signal Processing, 2022 - Springer
Signal modeling is an important technique in many engineering applications. This paper is
concerned about signal modeling problem for the sine multi-frequency signals or periodic …

Partially-coupled nonlinear parameter optimization algorithm for a class of multivariate hybrid models

Y Zhou, X Zhang, F Ding - Applied Mathematics and Computation, 2022 - Elsevier
A key to the analysis and design of a dynamic system is to establish a suitable mathematical
model of the system. This paper investigates the parameter optimization problem of a class …

Iterative identification methods for a class of bilinear systems by using the particle filtering technique

M Li, X Liu - International Journal of Adaptive Control and …, 2021 - Wiley Online Library
This article mainly studies the iterative parameter estimation problems of a class of nonlinear
systems. Based on the auxiliary model identification idea, this article utilizes the estimated …

The data filtering based multiple‐stage Levenberg–Marquardt algorithm for Hammerstein nonlinear systems

Y Ji, Z Kang, X Liu - … Journal of Robust and Nonlinear Control, 2021 - Wiley Online Library
This article considers the parameter identification problem of multiple‐input single‐output
Hammerstein nonlinear systems. Applying the data filtering technique, the input–output data …

Iterative parameter and order identification for fractional‐order nonlinear finite impulse response systems using the key term separation

J Wang, Y Ji, C Zhang - … Journal of Adaptive Control and Signal …, 2021 - Wiley Online Library
This article considers the parameter estimation for a fractional‐order nonlinear finite impulse
response system with colored noise. For the fractional‐order systems, the challenge and …

Maximum likelihood extended gradient‐based estimation algorithms for the input nonlinear controlled autoregressive moving average system with variable‐gain …

X Liu, Y Fan - International Journal of Robust and Nonlinear …, 2021 - Wiley Online Library
Variable‐gain nonlinearity is a piecewise‐linear characteristic to describe the process with
different gains in different input regions. This article studies the parameter estimation issue …

Hierarchical recursive signal modeling for multifrequency signals based on discrete measured data

L Xu, F Chen, F Ding, A Alsaedi… - International Journal of …, 2021 - Wiley Online Library
This paper studies the problem of parameter estimation for the multifrequency sine signals,
which have multiple characteristic parameters such as the amplitudes, phases, and …