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 …

Model predictive control of three-axis gimbal system mounted on UAV for real-time target tracking under external disturbances

A Altan, R Hacıoğlu - Mechanical Systems and Signal Processing, 2020 - Elsevier
Abstract The fact that Unmanned Aerial Vehicles (UAVs) move in a specific path and that the
camera in the gimbal system mounted on the UAV adhere to the right target attracts the …

Hierarchical least squares parameter estimation algorithm for two-input Hammerstein finite impulse response systems

Y Ji, X Jiang, L Wan - Journal of the Franklin Institute, 2020 - Elsevier
This paper considers the parameter estimation problems of two-input single-output
Hammerstein finite impulse response systems. A hierarchical least squares algorithm is …

Parameter estimation for block‐oriented nonlinear systems using the key term separation

Y Ji, C Zhang, Z Kang, T Yu - International Journal of Robust …, 2020 - Wiley Online Library
This article considers the parameter estimation problems of block‐oriented nonlinear
systems. By using the key term separation, the system output is represented as a linear …

Auxiliary model‐based multi‐innovation recursive identification algorithms for an input nonlinear controlled autoregressive moving average system with variable‐gain …

Y Fan, X Liu - International Journal of Adaptive Control and …, 2022 - Wiley Online Library
For the parameter estimation problem of an input nonlinear controlled autoregressive
moving average system with variable‐gain nonlinearity, this article gives an analytical form …

Two‐stage auxiliary model gradient‐based iterative algorithm for the input nonlinear controlled autoregressive system with variable‐gain nonlinearity

Y Fan, X Liu - International Journal of Robust and Nonlinear …, 2020 - Wiley Online Library
This article focuses on the parameter estimation problem of the input nonlinear system
where an input variable‐gain nonlinear block is followed by a linear controlled …

Model recovery for multi-input signal-output nonlinear systems based on the compressed sensing recovery theory

Y Ji, Z Kang, X Zhang, L Xu - Journal of the Franklin institute, 2022 - Elsevier
This paper considers the parameter and order estimation for multiple-input single-output
nonlinear systems. Since the orders of the system are unknown, a high-dimensional …

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 …

Online identification of lithium-ion battery parameters based on an improved equivalent-circuit model and its implementation on battery state-of-power prediction

T Feng, L Yang, X Zhao, H Zhang, J Qiang - Journal of Power Sources, 2015 - Elsevier
In battery management system (BMS), equivalent-circuit model (ECM) is commonly used to
simulate battery dynamics. However, there always is a contradiction between model …

Second‐order optimization methods for time‐delay autoregressive exogenous models: nature gradient descent method and its two modified methods

J Chen, Y Pu, L Guo, J Cao… - International Journal of …, 2023 - Wiley Online Library
This article proposes several second‐order optimization methods for time‐delay ARX model.
Since the time‐delay in the information vector makes the traditional identification algorithms …