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Related papers: Attitude Estimation with Feedback Particle Filter

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This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

Nonlinear attitude filters have been recognized to have simpler structure and better tracking performance when compared with Gaussian attitude filters and other methods of attitude determination. A key element of nonlinear attitude filter…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Ajay Singh , Trenton S. Sieb , James H. Howe , Hashim A. Hashim

This paper is concerned with the problem of tracking single or multiple targets with multiple non-target specific observations (measurements). For such filtering problems with data association uncertainty, a novel feedback control-based…

Probability · Mathematics 2014-04-18 Tao Yang , Prashant G. Mehta

This paper is concerned with the filtering problem in continuous-time. Three algorithmic solution approaches for this problem are reviewed: (i) the classical Kalman-Bucy filter which provides an exact solution for the linear Gaussian…

Optimization and Control · Mathematics 2017-12-22 Amirhossein Taghvaei , Jana de Wiljes , Prashant G. Mehta , Sebastian Reich

Attitude estimation is crucial in aerospace engineering, robotics, and virtual reality applications, but faces difficulties due to nonlinear system dynamics and sensor limitations. This paper addresses the challenge of attitude estimation…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

In this survey, we describe controlled interacting particle systems (CIPS) to approximate the solution of the optimal filtering and the optimal control problems. Part I of the survey is focussed on the feedback particle filter (FPF)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Amirhossein Taghvaei , Prashant G. Mehta

State estimation in non-linear models is performed by tracking the posterior distribution recursively. A plethora of algorithms have been proposed for this task. Among them, the Gaussian particle filter uses a weighted set of particles to…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Karthik Comandur , Yunpeng Li , Santosh Nannuru

This paper introduces a novel feedback-control based particle filter for the solution of the filtering problem with data association uncertainty. The particle filter is referred to as the joint probabilistic data association-feedback…

Numerical Analysis · Mathematics 2013-03-07 Tao Yang , Geng Huang , Prashant G. Mehta

This note presents a novel Bayesian attitude estimator with the matrix Fisher distribution on the special orthogonal group, which can smoothly accommodate both unit and non-unit vector measurements. The posterior attitude distribution is…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Shijie Wang , Haichao Gui , Rui Zhong

The particle filter (PF) and the ensemble Kalman filter (EnKF) are widely used for approximate inference in state-space models. From a Bayesian perspective, these algorithms represent the prior by an ensemble of particles and update it to…

Methodology · Statistics 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

The extended and unscented Kalman filter, and the particle filter provide a robust framework for fault-tolerant attitude estimation on spacecraft. This paper explores how each filter performs for a large satellite in a low earth orbit.…

Robotics · Computer Science 2025-06-27 B. Chidambaram , A. Hilbert , M. Silva

Successful control of a rigid-body rotating in three dimensional space requires accurate estimation of its attitude. The attitude dynamics are highly nonlinear and are posed on the Special Orthogonal Group $SO(3)$. In addition, measurements…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Hashim A. Hashim , Mohammed Abouheaf , Kyriakos G. Vamvoudakis

There are several attitude estimation algorithms in existence, all of which use local coordinate representations for the group of rigid body orientations. All local coordinate representations of the group of orientations have associated…

Optimization and Control · Mathematics 2007-05-23 Amit K. Sanyal

In this paper, the spacecraft attitude estimation problem has been investigated making use of the concept of matrix Lie group. Through formulation of the attitude and gyroscope bias as elements of SE(3), the corresponding extended Kalman…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Lubin Chang

In this article we introduce the use of recently developed min/max-plus techniques in order to solve the optimal attitude estimation problem in filtering for nonlinear systems on the special orthogonal (SO(3)) group. This work helps obtain…

Optimization and Control · Mathematics 2012-11-08 Srinivas Sridharan , William M. McEneaney

Feedback particle filters (FPFs) are Monte-Carlo approximations of the solution of the filtering problem in continuous time. The samples or particles evolve according to a feedback control law in order to track the posterior distribution.…

Optimization and Control · Mathematics 2019-09-13 Ehsan Abedi , Simone Carlo Surace

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

Robotics · Computer Science 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan

Attitude estimation using scalar measurements, corresponding to partial vectorial observations, arises naturally when inertial vectors are not fully observed but only measured along specific body-frame vectors. Such measurements arise in…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Alessandro Melis , Soulaimane Berkane , Tarek Hamel

We investigate the performance of a class of particle filters (PFs) that can automatically tune their computational complexity by evaluating online certain predictive statistics which are invariant for a broad class of state-space models.…

Computation · Statistics 2021-04-26 Víctor Elvira , Joaquín Míguez , Petar M. Djurić

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac