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 …

The least squares based iterative algorithms for parameter estimation of a bilinear system with autoregressive noise using the data filtering technique

M Li, X Liu - Signal Processing, 2018 - Elsevier
Parameter estimation is important in signal modeling and signal filtering. This paper uses
the filtering technique to study the parameter estimation problems of a class of bilinear …

State filtering‐based least squares parameter estimation for bilinear systems using the hierarchical identification principle

X Zhang, F Ding, L Xu, E Yang - IET Control Theory & …, 2018 - Wiley Online Library
This study presents a combined parameter and state estimation algorithm for a bilinear
system described by its observer canonical state‐space model based on the hierarchical …

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 …

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 …

Iterative parameter estimation methods for dual‐rate sampled‐data bilinear systems by means of the data filtering technique

M Li, X Liu - IET Control Theory & Applications, 2021 - Wiley Online Library
This paper considers the iterative parameter estimation for a dual‐rate sampled‐data
bilinear system with autoregressive moving average noise. Through combining the auxiliary …

Synchronous optimization schemes for dynamic systems through the kernel-based nonlinear observer canonical form

J Li, F Ding - IEEE Transactions on Instrumentation and …, 2022 - ieeexplore.ieee.org
Although some dynamic behaviors are commonly modeled as the linear or bilinear systems,
recent studies have consistently noted the existence of significant nonlinearities in these …

The gradient-based iterative estimation algorithms for bilinear systems with autoregressive noise

M Li, X Liu, F Ding - Circuits, Systems, and Signal Processing, 2017 - Springer
This paper considers the parameter identification problem of bilinear systems, which are a
special class of nonlinear systems. The basic idea is giving the input–output representation …

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 …