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This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular…

最优化与控制 · 数学 2017-12-12 Haichao Gui , George Vukovich

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

最优化与控制 · 数学 2019-10-23 Taeyoung Lee

This work proposes a quaternion-based sliding variable that describes exponentially convergent error dynamics for any forward complete desired attitude trajectory. The proposed sliding variable directly operates on the non-Euclidean space…

机器人学 · 计算机科学 2020-11-10 Brett T. Lopez , Jean-Jacques E. Slotine

Aimed at solving the problem of Attitude and Heading Reference System(AHRS) in the complex and dynamic conditions for small-UAV, An intelligent Singular Value Decomposition Cubature Kalman Filter(SVDCKF) combined with the Variable Adaptive…

机器人学 · 计算机科学 2020-03-10 Yue Yang

This paper presents a generic motion model to capture mobile robots' dynamic behaviors (translation and rotation). The model is based on statistical models driven by white random processes and is formulated into a full state estimation…

机器人学 · 计算机科学 2020-10-14 Wei Xu , Dongjiao He , Yixi Cai , Fu Zhang

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 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…

系统与控制 · 电气工程与系统科学 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

The problem of state estimation has a long history with many successful algorithms that allow analytical derivation or approximation of posterior filtering distribution given the noisy observations. This report tries to conclude previous…

机器学习 · 计算机科学 2025-01-06 Nikita Kostin

The accurate Attitude Heading Reference System(AHRS) is an important apart of the UAV reliable flight system. Aiming at the application scenarios of near ground navigation of small-UAV, this paper establishes a loose couple error model of…

机器人学 · 计算机科学 2020-02-21 Yue Yang

Inertial measurement units are commonly used to estimate the attitude of moving objects. Numerous nonlinear filter approaches have been proposed for solving the inherent sensor fusion problem. However, when a large range of different…

机器学习 · 计算机科学 2021-08-11 Daniel Weber , Clemens Gühmann , Thomas Seel

In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the external torque applied to move the rigid body from an initial condition to a pre-specified terminal condition.…

最优化与控制 · 数学 2007-12-31 Anthony M. Bloch , Islam I. Hussein , Melvin Leok , Amit K. Sanyal

The vortex-induced vibration of multiple spring-mounted bodies free to move in the orthogonal direction of the flow is investigated. In a first step, we derive a Linear Arbitrary Lagrangian Eulerian (L-ALE) method to solve the…

流体动力学 · 物理学 2026-03-02 Théo Mouyen , Javier Sierra , David Fabre , Flavio Giannetti

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…

系统与控制 · 电气工程与系统科学 2024-07-23 Yixiao Ge , Behzad Zamani , Pieter van Goor , Jochen Trumpf , Robert Mahony

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

计算机视觉与模式识别 · 计算机科学 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

The estimation of non-Gaussian measurement noise models is a significant challenge across various fields. In practical applications, it often faces challenges due to the large number of parameters and high computational complexity. This…

系统与控制 · 电气工程与系统科学 2023-09-25 Zuxuan Zhang , Gang Wang , Jiacheng He , Shan Zhong

This paper develops a geometric framework for invariant filtering of relative dynamics on Lie groups. We first revisit the notion of state trajectory independence, under which the estimation error evolves autonomously, and derive new…

系统与控制 · 电气工程与系统科学 2025-11-18 Tejaswi K. C. , Maneesha Wickramasuriya , Silvere Bonnabel , Axel Barrau , Taeyoung Lee

In various applications of land vehicle navigation and automatic guidance systems, Global Navigation Satellite System/Inertial Measurement Unit (GNSS/IMU) positioning performance crucially depends on the attitude determination accuracy…

系统与控制 · 计算机科学 2015-05-27 Vasiliy M. Tereshkov

We revisit the gradient based nonlinear attitude complementary filters (observers) on the Special Orthogonal group SO(3) and provide explicit solutions of the norm of the attitude estimation error dynamics. One smooth and two non-smooth…

最优化与控制 · 数学 2016-12-22 Soulaimane Berkane , Abdelhamid Tayebi

Rigid motion computation or estimation is a cornerstone in numerous fields. Attitude computation can be achieved by integrating the angular velocity measured by gyroscopes, the accuracy of which is crucially important for the dead-reckoning…

系统与控制 · 计算机科学 2019-01-15 Yuanxin Wu

This paper addresses the problem of estimating the relative pose (position and orientation) and velocity of a vehicle with respect to a moving target, where both are equipped with Inertial Measurement Units (IMUs), assuming the availability…

系统与控制 · 电气工程与系统科学 2026-05-14 Alessandro Melis , Tarek Bouazza , Soulaimane Berkane , Tarek Hamel