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Attitude estimation for small, low-cost unmanned aerial vehicles is often achieved using a relatively simple complementary filter that combines onboard accelerometers, gyroscopes, and magnetometer sensing. This paper explores the limits of…

Optimization and Control · Mathematics 2016-02-26 Harris Teague

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Moh Kamalul Wafi

Kalman filtering has been traditionally applied in three application areas of estimation, state estimation, parameter estimation (a.k.a. model updating), and dual estimation. However, Kalman filter is often not sufficient when experimenting…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Johnny Condori , Amin Maghareh , Shirley Dyke

In this paper, a distributed dual-quaternion multiplicative extended Kalman filter for the estimation of poses and velocities of individual satellites in a fleet of spacecraft is analyzed. The proposed algorithm uses both absolute and…

Optimization and Control · Mathematics 2024-12-02 Mathias Hudoba de Badyn , Jonas Binz , Andrea Iannelli , Roy S. Smith

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

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

Fault tolerance is achieved through multiply redundant hardware systems in large civil aircraft. This means of achieving fault tolerance is infeasible for small compact unmanned aerial vehicles. In this paper we apply a fault tolerant…

Optimization and Control · Mathematics 2016-10-12 Rudaba Khan , Paul Williams , Paul Riseborough , Asha Rao , Robin Hill

This paper introduces a novel approach to detect and address faulty or corrupted external sensors in the context of inertial navigation by leveraging a switching Kalman Filter combined with parameter augmentation. Instead of discarding the…

Systems and Control · Electrical Eng. & Systems 2024-12-12 Artem Mustaev , Nicholas Galioto , Matt Boler , John D. Jakeman , Cosmin Safta , Alex Gorodetsky

Accurate state estimation using low-cost MEMS (Micro Electro- Mechanical Systems) sensors present on Commercial-off-the-shelf (COTS) drones is a challenging problem. Most UAV systems use a combination of a gyroscope, an accelerometer, and a…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

A pose estimation technique based on error-state extended Kalman that fuses angular rates, accelerations, and relative range measurements is presented in this paper. An unconstrained dynamic model with kinematic coupling for a…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Deep Parikh , Manoranjan Majji

State estimation when only a partial model of a considered system is available remains a major challenge in many engineering fields. This work proposes a joint, square-root unscented Kalman filter to estimate states and model uncertainties…

Signal Processing · Electrical Eng. & Systems 2022-07-11 Ricarda-Samantha Götte , Julia Timmermann

This paper is the second part of a series of studies discussing a novel attitude determination method for nano-satellites. Our approach is based on the utilization of thermal imaging sensors to determine the direction of the Sun and the…

Instrumentation and Methods for Astrophysics · Physics 2022-01-05 János Takátsy , Tamás Bozóki , Gergely Dálya , Kornél Kapás , László Mészáros , András Pál

Spaceborne gravity gradients are proposed in this paper to provide autonomous orbit determination capabilities for near Earth satellites. The gravity gradients contain useful position information which can be extracted by matching the…

Instrumentation and Methods for Astrophysics · Physics 2017-01-13 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

Algorithms for state estimation of humanoid robots usually assume that the feet remain flat and in a constant position while in contact with the ground. However, this hypothesis is easily violated while walking, especially for human-like…

This paper contains a concise comparison of a number of nonlinear attitude filtering methods that have attracted attention in the robotics and aviation literature. With the help of previously published surveys and comparison studies, the…

Systems and Control · Computer Science 2015-02-16 M. Zamani , J. Trumpf , R. Mahony

Extended Kalman filtering is a common approach to achieve floating base estimation of a humanoid robot. These filters rely on measurements from an Inertial Measurement Unit (IMU) and relative forward kinematics for estimating the base…

Robotics · Computer Science 2022-05-17 Prashanth Ramadoss , Stefano Dafarra , Silvio Traversaro , Daniele Pucci

Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

For additive actuator and sensor faults, we propose a systematic method to design a state-space fault estimation filter directly from Markov parameters identified from fault-free data. We address this problem by parameterizing a…

Systems and Control · Computer Science 2017-08-31 Yiming Wan , Tamas Keviczky , Michel Verhaegen

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

In this work, we present methods for state estimation in continuous-discrete nonlinear systems involving stochastic differential equations. We present the extended Kalman filter, the unscented Kalman filter, the ensemble Kalman filter, and…

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