Simultaneous unknown input and state estimation for the linear system with a rank‐deficient distribution matrix

Y Hua, N Wang, K Zhao - Mathematical Problems in …, 2021 - Wiley Online Library
The classical recursive three‐step filter can be used to estimate the state and unknown input
when the system is affected by unknown input, but the recursive three‐step filter cannot be …

Robust two-stage Kalman filters for systems with unknown inputs

CS Hsieh - IEEE Transactions on Automatic Control, 2000 - ieeexplore.ieee.org
A method is developed for the state estimation of linear time-varying discrete systems with
unknown inputs. By making use of the two-stage Kalman filtering technique and a proposed …

Strong tracking filtering of nonlinear time-varying stochastic systems with coloured noise: Application to parameter estimation and empirical robustness analysis

DH Zhou, PM Frank - International Journal of Control, 1996 - Taylor & Francis
The strong tracking filter (STF) proposed by Zhou et al. in 1992, which was developed for
nonlinear systems with white noise, is extended to a class of nonlinear time-varying …

Optimal solution of the two-stage Kalman estimator

CS Hsieh, FC Chen - IEEE Transactions on automatic control, 1999 - ieeexplore.ieee.org
The two-stage Kalman estimator was originally proposed to reduce the computational
complexity of the augmented state Kalman filter. It was also applied to the tracking of …

Exact multisensor dynamic bias estimation with local tracks

X Lin, Y Bar-Shalom… - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
An exact solution is provided for the multiple sensor bias estimation problem based on local
tracks. It is shown that the sensor bias estimates can be obtained dynamically using the …

Multisensor multitarget bias estimation for general asynchronous sensors

X Lin, Y Bar-Shalom… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
A novel solution is provided for the bias estimation problem in multiple asynchronous
sensors using common targets of opportunity. The decoupling between the target state …

Three-stage Kalman filter for state and fault estimation of linear stochastic systems with unknown inputs

FB Hmida, K Khémiri, J Ragot, M Gossa - Journal of the Franklin Institute, 2012 - Elsevier
The paper studies the problem of simultaneously estimating the state and the fault of linear
stochastic discrete-time varying systems with unknown inputs. The fault and the unknown …

Fixed-gain two-stage estimators for tracking maneuvering targets

WD Blair - IEEE transactions on aerospace and electronic …, 1993 - ieeexplore.ieee.org
The two-stage alpha-beta-gamma estimator is proposed as an alternative to adaptive gain
versions of the alpha, beta and alpha, beta, and gamma filters for tracking maneuvering …

Gaussian mixture PHD filter for multi-sensor multi-target tracking with registration errors

W Li, Y Jia, J Du, F Yu - Signal Processing, 2013 - Elsevier
This paper studies the problem of multi-sensor multi-target tracking with registration errors in
the formulation of random finite sets. The probability hypothesis density (PHD) recursion is …

Multisensor target tracking performance with bias compensation

X Lin, Y Bar-Shalom - IEEE Transactions on Aerospace and …, 2006 - ieeexplore.ieee.org
In this paper, multisensor-multitarget tracking performance with bias estimation and
compensation is investigated when only moving targets of opportunity are available. First …