Hierarchical parameter and state estimation for bilinear systems

X Zhang, F Ding - International Journal of Systems Science, 2020 - Taylor & Francis
The identification of state-space models of bilinear systems is studied in this paper. The
parameters to be identified of the considered system are coupled with the unknown states …

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 …

A novel reduced-order algorithm for rational models based on Arnoldi process and Krylov subspace

J Chen, B Huang, M Gan, CLP Chen - Automatica, 2021 - Elsevier
This paper presents a novel reduced-order algorithm for identifying rational models. From
the Arnoldi process, an orthonormal basis of the Krylov subspace is constructed. Based on …

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 …

Joint multi-innovation recursive extended least squares parameter and state estimation for a class of state-space systems

T Cui, F Ding, XB Jin, A Alsaedi, T Hayat - International Journal of Control …, 2020 - Springer
The relationship between the parameters and the states of state-space systems is nonlinear,
which makes the identification problems of state-space systems complicated. This paper …

Volatility GARCH models with the ordered weighted average (OWA) operators

M Flores-Sosa, E Avilés-Ochoa, JM Merigó… - Information sciences, 2021 - Elsevier
Volatility is an important issue for companies, policy-makers, and researches.
Autoregressive conditional heteroscedasticity (ARCH) and generalized ARCH (GARCH) …

Biased compensation recursive least squares-based threshold algorithm for time-delay rational models via redundant rule

J Chen, QM Zhu, J Li, YJ Liu - Nonlinear Dynamics, 2018 - Springer
This paper develops a biased compensation recursive least squares-based threshold
algorithm for a time-delay rational model. The time-delay rational model is transformed into …

Auxiliary model-based recursive generalized least squares algorithm for multivariate output-error autoregressive systems using the data filtering

Q Liu, F Ding - Circuits, Systems, and Signal Processing, 2019 - Springer
This paper focuses on the parameter estimation problem of multivariate output-error
autoregressive systems. Based on the data filtering technique and the auxiliary model …

Improved gradient descent algorithms for time-delay rational state-space systems: intelligent search method and momentum method

J Chen, Q Zhu, M Hu, L Guo, P Narayan - Nonlinear Dynamics, 2020 - Springer
This study proposes two improved gradient descent parameter estimation algorithms for
rational state-space models with time-delay. These two algorithms, based on intelligent …

Global and asymptotically efficient localization from range measurements

G Zeng, B Mu, J Chen, Z Shi… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
We consider the range-based localization problem, which involves estimating an object's
position by using sensors, hoping that as the number of sensors increases, the estimate …