State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors

X Zhang, F Ding, E Yang - International Journal of Adaptive …, 2019 - Wiley Online Library
This paper considers the state estimation problem of bilinear systems in the presence of
disturbances. The standard Kalman filter is recognized as the best state estimator for linear …

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 …

Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems

X Zhang, F Ding, L Xu - International Journal of Robust and …, 2020 - Wiley Online Library
This paper is concerned with the joint estimation of states and parameters of a special class
of nonlinear systems, ie, bilinear systems. The key is to investigate new estimation methods …

The innovation algorithms for multivariable state‐space models

F Ding, X Zhang, L Xu - … Journal of Adaptive Control and Signal …, 2019 - Wiley Online Library
This paper derives the input‐output representation of the dynamical system described by a
linear multivariable state‐space model and the corresponding multivariate linear regressive …

Combined state and parameter estimation for a bilinear state space system with moving average noise

X Zhang, L Xu, F Ding, T Hayat - Journal of the Franklin Institute, 2018 - Elsevier
This paper considers the identification problem of bilinear systems with measurement noise
in the form of the moving average model. In particular, we present an interactive estimation …

Recursive parameter identification of the dynamical models for bilinear state space systems

X Zhang, F Ding, FE Alsaadi, T Hayat - Nonlinear Dynamics, 2017 - Springer
This paper investigates the recursive parameter and state estimation algorithms for a special
class of nonlinear systems (ie, bilinear state space systems). A state observer-based …

Joint iterative state and parameter estimation for bilinear systems with autoregressive noises via the data filtering

S Liu, Y Wang, F Ding, A Alsaedi, T Hayat - ISA transactions, 2024 - Elsevier
This paper proposes a novel iterative algorithm for the joint state and parameter estimation
of bilinear state–space systems disturbed by colored noise. Estimating the states and …

Recursive parameter estimation and its convergence for bilinear systems

X Zhang, F Ding - IET Control Theory & Applications, 2020 - Wiley Online Library
This study develops an adaptive filtering‐based recursive identification algorithm for joint
estimation of states and parameters of bilinear state‐space systems with an autoregressive …

A hierarchical approach for joint parameter and state estimation of a bilinear system with autoregressive noise

X Zhang, F Ding, L Xu, A Alsaedi, T Hayat - Mathematics, 2019 - mdpi.com
This paper is concerned with the joint state and parameter estimation methods for a bilinear
system in the state space form, which is disturbed by additive noise. In order to overcome the …

Multistage parameter estimation algorithms for identification of bilinear systems

F Shahriari, MM Arefi, H Luo, S Yin - Nonlinear Dynamics, 2022 - Springer
In this paper, two methods for parameter estimation of bilinear state-space systems with
colored noise, which are expressed by ARMA model, are proposed. Using the hierarchical …