Model-based robust filtering and experimental design for stochastic differential equation systems

G Zhao, X Qian, BJ Yoon, FJ Alexander… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
We derive robust linear filtering and experimental design for systems governed by stochastic
differential equations (SDEs) under model uncertainty. Given a model of signal and …

[PDF][PDF] Robust RLS Wiener FIR filter for signal estimation in linear discrete-time stochastic systems with uncertain parameters

S Nakamori - Frontiers in Signal Processing, 2019 - isaac-scientific.com
This paper proposes the robust recursive least-squares (RLS) finite impulse response (FIR)
filtering algorithm using the covariance information and the robust RLS Wiener FIR filtering …

Quadratic filtering for non-Gaussian stochastic parameter systems with buffer-aided strategy

X Wang, B Shen, S Gao - Information Sciences, 2023 - Elsevier
This paper is concerned with the quadratic filtering problem for a class of linear discrete time-
varying systems with non-Gaussian stochastic parameters and intermittent measurements …

Robust filter for linear stochastic partial differential systems via a set of sensor measurements

WH Chen, BS Chen - … Transactions on Circuits and Systems I …, 2012 - ieeexplore.ieee.org
This study addresses a robust H∞ filtering design problem for linear stochastic partial
differential systems (LSPDSs) with external disturbance and measurement noise in the …

Robust filtering for gene expression time series data with variance constraints

G Wei, Z Wang, H Shu, K Fraser… - International Journal of …, 2007 - Taylor & Francis
In this paper, an uncertain discrete-time stochastic system is employed to represent a model
for gene regulatory networks from time series data. A robust variance-constrained filtering …

Efficient projection filter algorithm for stochastic dynamical systems with correlated noises and state-dependent measurement covariance

MF Emzir - Signal Processing, 2024 - Elsevier
This paper focuses on deriving the projection filter equation for a class of stochastic
differential equations that incorporate correlated state and measurement noises, where the …

Robust optimal filtering for linear time‐varying systems with stochastic uncertainties

J Zhang, X He, D Zhou - IET Control Theory & Applications, 2017 - Wiley Online Library
In this study, the robust optimal filtering problem is investigated for a class of linear time‐
varying systems with stochastic uncertainties. A new model is presented that accounts for …

Robust steady-state filtering for systems with deterministic and stochastic uncertainties

F Wang, V Balakrishnan - IEEE Transactions on Signal …, 2003 - ieeexplore.ieee.org
For uncertain systems containing both deterministic and stochastic uncertainties, we
consider two problems of optimal filtering. The first is the design of a linear time-invariant …

Robust filter for nonlinear stochastic partial differential systems in sensor signal processing: Fuzzy approach

BS Chen, WH Chen, W Zhang - IEEE Transactions on Fuzzy …, 2012 - ieeexplore.ieee.org
This study addresses a robust H∞ filter design problem for nonlinear stochastic partial
differential systems (NSPDSs) with random external disturbance and measurement noise in …

Tuning-free filtering for stochastic systems with unmodeled measurement dynamics

Y Zhu, S Zhao, C Zhang, F Liu - Journal of the Franklin Institute, 2024 - Elsevier
This paper applies variational Bayesian to the stochastic system filtering problem for
arbitrary measurement disturbances. Considering the system's robustness when confronted …