Optimal filtering for systems with unknown inputs via the descriptor Kalman filtering method

CS Hsieh - Automatica, 2011 - Elsevier
This paper addresses globally optimal unbiased minimum-variance state estimation for
systems with unknown inputs that affect both the system and the output with the descriptor …

Optimal filtering for systems with unknown inputs via descriptor Kalman filtering

CS Hsieh - IEEE ICCA 2010, 2010 - ieeexplore.ieee.org
In this paper, we consider the global unbiased minimum-variance state estimation for
systems with unknown inputs which affect both the system and the output via the descriptor …

A unified solution to unbiased minimum-variance estimation for systems with unknown inputs

CS Hsieh - IFAC Proceedings Volumes, 2008 - Elsevier
A parameterized three-stage Kalman filter (PTSKF) is proposed, serving as a unified solution
to unbiased minimum-variance estimation for systems with unknown inputs that affect both …

On the optimality of two‐stage Kalman filtering for systems with unknown inputs

CS Hsieh - Asian Journal of Control, 2010 - Wiley Online Library
This paper is concerned with the optimal solution of two‐stage Kalman filtering for linear
discrete‐time stochastic time‐varying systems with unknown inputs affecting both the system …

The study on an General Kalman filter with unknown inputs

S Pan, P Du, Y Li, Z Chen… - Proceeding of the 11th …, 2014 - ieeexplore.ieee.org
The problem of joint input and state estimation is discussed in this paper for linear discrete-
time stochastic systems. By minimizing an objective function of weighted least squares …

Infinity augmented state kalman filter and its application in unknown input and state estimation

B Ding, T Zhang, H Fang - Journal of the Franklin Institute, 2023 - Elsevier
This paper investigates the infinity augmented state Kalman filter (IASKF) to obtain the
unknown input and state estimation for systems with the rank-deficient matrix. With the aid of …

Extension of the robust two-stage Kalman filtering for systems with unknown inputs

CS Hsieh - TENCON 2007-2007 IEEE Region 10 Conference, 2007 - ieeexplore.ieee.org
This paper considers the optimal unbiased minimumvariance estimation for systems with
unknown inputs that affect both the system model and the measurements. By making use of …

Unscented type Kalman filter: limitation and combination

L Chang, B Hu, A Li, F Qin - IET Signal Processing, 2013 - Wiley Online Library
This study investigates the shortcomings of existing unscented type Kalman filters (UTKFs)
used for state estimation problem of non‐linear stochastic dynamic systems. There are three …

Improved Square-Root Cubature Kalman Filtering Algorithm for Nonlinear Systems with Dual Unknown Inputs

Z Lu, N Wang, S Dong - Mathematics, 2023 - mdpi.com
For nonlinear discrete systems with dual unknown inputs, there are many limitations
regarding previous nonlinear filters. This paper proposes two new, improved square-root …

Intermediate‐variable‐based Kalman filter for linear time‐varying systems with unknown inputs

J Zhou, T Li, B Chen, L Yu - International Journal of Robust and …, 2022 - Wiley Online Library
This article proposes a systematic design methodology of unknown input estimation for time‐
varying systems in which unknown inputs exist in system dynamic and measurement …