Approximate Gaussian conjugacy: parametric recursive filtering under nonlinearity, multimodality, uncertainty, and constraint, and beyond

T Li, J Su, W Liu, JM Corchado - Frontiers of Information Technology & …, 2017 - Springer
Since the landmark work of RE Kalman in the 1960s, considerable efforts have been
devoted to time series state space models for a large variety of dynamic estimation …

Kalman filtering with state constraints: a survey of linear and nonlinear algorithms

D Simon - IET Control Theory & Applications, 2010 - IET
The Kalman filter is the minimum-variance state estimator for linear dynamic systems with
Gaussian noise. Even if the noise is non-Gaussian, the Kalman filter is the best linear …

Event-triggered adaptive dynamic programming for continuous-time systems with control constraints

L Dong, X Zhong, C Sun, H He - IEEE transactions on neural …, 2016 - ieeexplore.ieee.org
In this paper, an event-triggered near optimal control structure is developed for nonlinear
continuous-time systems with control constraints. Due to the saturating actuators, a …

Constrained State Estimation--A Review

N Amor, G Rasool, NC Bouaynaya - arXiv preprint arXiv:1807.03463, 2018 - arxiv.org
The real-world applications in signal processing generally involve estimating the system
state or parameters in nonlinear, non-Gaussian dynamic systems. The estimation problem …

Constrained iterated unscented Kalman filter for dynamic state and parameter estimation

A Rouhani, A Abur - IEEE Transactions on Power Systems, 2017 - ieeexplore.ieee.org
This paper presents a robust dynamic state estimator for the synchronous generators with
unknown parameters. The estimator uses a constrained iterated unscented Kalman filter to …

A methodological paradigm for patient‐specific multi‐scale CFD simulations: from clinical measurements to parameter estimates for individual analysis

S Pant, B Fabrèges, JF Gerbeau… - … journal for numerical …, 2014 - Wiley Online Library
SUMMARY A new framework for estimation of lumped (for instance, Windkessel) model
parameters from uncertain clinical measurements is presented. The ultimate aim is to …

Multi-level information fusion with motion constraints: Key to achieve high-precision gait analysis using low-cost inertial sensors

P Zhang, Y Li, Y Zhuang, J Kuang, X Niu, R Chen - Information Fusion, 2023 - Elsevier
Gait can reflect locomotion and physical condition and thus is used to assess people's
health. Traditional high-precision gait analysis devices are expensive and are limited to …

Random-point-based filters: Analysis and comparison in target tracking

J Dunik, O Straka, M Simandl… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper compares state estimation techniques for nonlinear stochastic dynamic systems,
which are important for target tracking. Recently, several methods for nonlinear state …

Gain-constrained recursive filtering with stochastic nonlinearities and probabilistic sensor delays

J Hu, Z Wang, B Shen, H Gao - IEEE Transactions on Signal …, 2012 - ieeexplore.ieee.org
This paper is concerned with the gain-constrained recursive filtering problem for a class of
time-varying nonlinear stochastic systems with probabilistic sensor delays and correlated …

Regularized ensemble Kalman methods for inverse problems

XL Zhang, C Michelén-Ströfer, H Xiao - Journal of Computational Physics, 2020 - Elsevier
Inverse problems are common and important in many applications in computational physics
but are inherently ill-posed with many possible model parameters resulting in satisfactory …