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 …

Two‐stage gradient‐based iterative algorithms for the fractional‐order nonlinear systems by using the hierarchical identification principle

J Wang, Y Ji, X Zhang, L Xu - International Journal of Adaptive …, 2022 - Wiley Online Library
This article focuses on the parameter estimation issues for a fractional‐order nonlinear
system with autoregressive noise. In the process, the challenge and difficulty are to identify …

Multivariable CAR-like system identification with multi-innovation gradient and least squares algorithms

J Pan, H Zhang, H Guo, S Liu, Y Liu - International Journal of Control …, 2023 - Springer
This paper focuses on the identification of a multivariable controlled autoregressive-like
(CAR-like) system. A joint identification algorithm of stochastic gradient and least squares is …

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 …

Attitude control of quadrotor UAVs based on adaptive sliding mode

J Pan, B Shao, J **ong, Q Zhang - International Journal of Control …, 2023 - Springer
In this paper, the attitude control of the quadrotor system under external disturbance is
studied. A novel adaptive sliding mode control (ASMC) based on the linear extended state …

Expectation–maximization algorithm for bilinear systems by using the Rauch–Tung–Striebel smoother

S Liu, X Zhang, L Xu, F Ding - Automatica, 2022 - Elsevier
Bilinear system is a special class of nonlinear system. This paper is concerned with the
identification problem of the bilinear systems in the state–space form. By treating the …