Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation

This study presents a numerical comparison of three filtering techniques for a nonlinear state estimation problem. We consider an Extended Kalman Filter (EKF), an Unscented Kalman Filter (UKF) and a combined type of Particle Filter, so-called Extended Particle Filter (EPF), for the state estimation...

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Main Authors: Mehndiratta, Mohit, Prach, Anna, Kayacan, Erdal
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/89841
http://hdl.handle.net/10220/47133
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author Mehndiratta, Mohit
Prach, Anna
Kayacan, Erdal
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Mehndiratta, Mohit
Prach, Anna
Kayacan, Erdal
author_sort Mehndiratta, Mohit
collection NTU
description This study presents a numerical comparison of three filtering techniques for a nonlinear state estimation problem. We consider an Extended Kalman Filter (EKF), an Unscented Kalman Filter (UKF) and a combined type of Particle Filter, so-called Extended Particle Filter (EPF), for the state estimation for a re-entry vehicle system. The challenge in state estimation for this system is presence of significant nonlinearities in the process and measurement models. The performance aspects for the comparison include computation time, simulation time step, and effect of the choice of the initial conditions for the state estimate and covariance. Also, an investigation of the effect of the number of particles for EPF is performed. Simulation results illustrate that although EPF is computationally more expensive than EKF and UKF, it is less affected by the choice of initial conditions and simulation time step size.
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spelling ntu-10356/898412023-03-04T17:16:47Z Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation Mehndiratta, Mohit Prach, Anna Kayacan, Erdal School of Mechanical and Aerospace Engineering Gaussian Filter DRNTU::Engineering::Mechanical engineering Nonlinear Estimation This study presents a numerical comparison of three filtering techniques for a nonlinear state estimation problem. We consider an Extended Kalman Filter (EKF), an Unscented Kalman Filter (UKF) and a combined type of Particle Filter, so-called Extended Particle Filter (EPF), for the state estimation for a re-entry vehicle system. The challenge in state estimation for this system is presence of significant nonlinearities in the process and measurement models. The performance aspects for the comparison include computation time, simulation time step, and effect of the choice of the initial conditions for the state estimate and covariance. Also, an investigation of the effect of the number of particles for EPF is performed. Simulation results illustrate that although EPF is computationally more expensive than EKF and UKF, it is less affected by the choice of initial conditions and simulation time step size. Published version 2018-12-20T07:53:51Z 2019-12-06T17:34:44Z 2018-12-20T07:53:51Z 2019-12-06T17:34:44Z 2016 Journal Article Mehndiratta, M., Prach, A., & Kayacan, E. (2016). Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation. IFAC-PapersOnLine, 49(18), 446-453. doi:10.1016/j.ifacol.2016.10.206 2405-8963 https://hdl.handle.net/10356/89841 http://hdl.handle.net/10220/47133 10.1016/j.ifacol.2016.10.206 en IFAC-PapersOnLine © IFAC 2016. This work is posted here by permission of IFAC for your personal use. Not for distribution. The original version was published in ifac-papersonline.net, DOI: 10.1016/j.ifacol.2016.10.206. 8 p. application/pdf
spellingShingle Gaussian Filter
DRNTU::Engineering::Mechanical engineering
Nonlinear Estimation
Mehndiratta, Mohit
Prach, Anna
Kayacan, Erdal
Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title_full Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title_fullStr Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title_full_unstemmed Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title_short Numerical investigation of Gaussian filters with a combined type Bayesian filter for nonlinear state estimation
title_sort numerical investigation of gaussian filters with a combined type bayesian filter for nonlinear state estimation
topic Gaussian Filter
DRNTU::Engineering::Mechanical engineering
Nonlinear Estimation
url https://hdl.handle.net/10356/89841
http://hdl.handle.net/10220/47133
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AT prachanna numericalinvestigationofgaussianfilterswithacombinedtypebayesianfilterfornonlinearstateestimation
AT kayacanerdal numericalinvestigationofgaussianfilterswithacombinedtypebayesianfilterfornonlinearstateestimation