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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

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 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

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

In this paper, the well-known multiplicative extended Kalman filter (MEKF) is re-investigated for attitude estimation using vector observations. From the Lie group theory, it is shown that the attitude estimation model is group affine and…

Robotics · Computer Science 2023-01-23 Lubin Chang

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

We introduce Robust Filter Attention (RFA), a formulation of self-attention as a robust state estimator. Each token is treated as a noisy observation of a latent trajectory governed by a linear stochastic differential equation (SDE), and…

Machine Learning · Computer Science 2026-05-26 Peter Racioppo

This paper proposes a novel geometric nonlinear filter for attitude and bias estimation on the Special Orthogonal Group $SO(3)$ using matrix measurements. The structure of the proposed filter is similar to that of the continuous-time…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Farooq Aslam , Muhammad Farooq Haydar , Suhail Akhtar

The manifold extended Kalman filter (Manifold EKF) has found extensive application for attitude determination. Magnetometers employed as sensors for such attitude determination are easily prone to disturbances by their sensitivity to…

Robotics · Computer Science 2025-09-30 Arjun Sadananda , Ravi Banavar , Kavi Arya

Target tracking of surrounding vehicles is essential for collision avoidance in autonomous vehicles. Our approach to target tracking is based on causal numerical differentiation on relative position data to estimate relative velocity and…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Shashank Verma , Sneha Sanjeevini , E. Dogan Sumer , Dennis S. Bernstein

In this paper, we consider the collaborative attitude estimation problem for a multi-agent system. The agents are equipped with sensors that provide directional measurements and relative attitude measurements. We present a bottom-up…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Yixiao Ge , Behzad Zamani , Pieter van Goor , Jochen Trumpf , Robert Mahony

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

In real-world applications of reinforcement learning (RL), noise from inherent stochasticity of environments is inevitable. However, current policy evaluation algorithms, which plays a key role in many RL algorithms, are either prone to…

Machine Learning · Computer Science 2019-06-19 Tadashi Kozuno , Dongqi Han , Kenji Doya

Stochastic filters for on-line state estimation are a core technology for autonomous systems. The performance of such filters is one of the key limiting factors to a system's capability. Both asymptotic behavior (e.g.,~for regular…

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

Using actual flight data from a 50-cm-class microsatellite whose mission and operations have already been completed, this study re-evaluates satellite attitude determination performance and the error characteristics of onboard attitude…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yuji Sakamoto

This work proposes a nonlinear stochastic filter evolved on the Special Orthogonal Group SO(3) as a solution to the attitude filtering problem. One of the most common potential functions for nonlinear deterministic attitude observers is…

Optimization and Control · Mathematics 2019-01-23 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

The problem of $H_{\infty}$ filtering for attitude estimation using rotation matrices and vector measurements is studied. Starting from a storage function on the Special Orthogonal Group $SO(3)$, a dissipation inequality is considered, and…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Farooq Aslam , Muhammad Farooq Haydar

This paper concerns the problem of attitude determination and estimation. The early applications considered algebraic methods of attitude determination. Attitude determination algorithms were supplanted by the Gaussian attitude estimation…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Hashim A Hashim

This paper presents an adaptive multi-model framework for jointly estimating spacecraft attitude and star-tracker misalignments in GPS-denied deep-space CubeSat missions. A Multiplicative Extended Kalman Filter (MEKF) estimates attitude,…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Ridma Ganganath , Simone Servadio , David Daeyoung Lee
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