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The rigid body attitude estimation problem is treated using the discrete-time Lagrange-d'Alembert principle. Three different possibilities are considered for the multi-rate relation between angular velocity measurements and direction vector…

系统与控制 · 电气工程与系统科学 2022-06-20 Maulik Bhatt , Amit K. Sanyal , Srikant Sukumar

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

最优化与控制 · 数学 2015-09-16 Maziar Izadi , Amit Kumar Sanyal

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

最优化与控制 · 数学 2015-09-17 Maziar Izadi , Amit Kumar Sanyal , Ernest Barany , Sasi Prabhakaran Viswanathan

This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the…

系统与控制 · 电气工程与系统科学 2025-06-10 Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarel Hamel

In this work, asymptotically stable state estimation schemes are proposed for rigid body motion, using the framework of geometric mechanics. Rigorous stability analyses of the estimation schemes presented here guarantee the nonlinear…

最优化与控制 · 数学 2015-10-20 Maziar Izadi

A geometric estimator is proposed for the rigid body attitude under multi-rate measurements using discrete-time Lyapunov stability analysis in this work. The angular velocity measurements are assumed to be sampled at a higher rate compared…

系统与控制 · 电气工程与系统科学 2020-07-17 Maulik Bhatt , Srikant Sukumar , Amit K. Sanyal

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…

最优化与控制 · 数学 2007-05-23 Amit K. Sanyal

The problem of rigid body pose estimation is treated in discrete-time via discrete Lagrange-d'Alembert principle and discrete Lyapunov methods. The position and attitude of the rigid body are to be estimated simultaneously with the help of…

最优化与控制 · 数学 2022-09-28 Maulik Bhatt , Srikant Sukumar , Amit K Sanyal

This paper considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

系统与控制 · 电气工程与系统科学 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

Relative pose estimation between fixed-wing unmanned aerial vehicles (UAVs) is treated using a stable and robust estimation scheme. The motivating application of this scheme is that of "handoff" of an object being tracked from one…

最优化与控制 · 数学 2015-09-14 Maziar Izadi , Amit Kumar Sanyal , Randal W. Beard , He Bai

Two nonlinear observers for velocity-aided attitude estimation, relying on gyrometers, accelerometers, magnetometers, and velocity measured in the body-fixed frame, are proposed. As opposed to state-of-the-art body-fixed velocity-aided…

最优化与控制 · 数学 2014-11-17 Minh-Duc Hua , Philippe Martin , Tarek Hamel

A deterministic attitude estimation problem for a rigid body in an attitude dependent potential field with bounded measurement errors is studied. An attitude estimation scheme that does not use generalized coordinate representations of the…

最优化与控制 · 数学 2016-11-15 Taeyoung Lee , Amit K. Sanyal , Melvin Leok , N. Harris McClamroch

Rigid body systems usually consider measurements of the pose of the body using onboard cameras/LiDAR systems, that of linear acceleration using an accelerometer and of angular velocity using an IMU. However, the measurements of the linear…

系统与控制 · 电气工程与系统科学 2024-01-23 Soham Shanbhag , Dong Eui Chang

The problem of estimating the angular speed of a solid body from attitude measurements is addressed. To solve this problem, we propose an observer whose dynamics are not constrained to evolve on any specific manifold. This drastically…

系统与控制 · 电气工程与系统科学 2021-12-02 Francesco Ferrante , Gildas Besançon

This paper addresses the problem of estimating the attitude and angular velocity of a rigid object by exploiting its second order kinematic model. The approach is particularly useful in cases where angular velocity measurements are not…

系统与控制 · 电气工程与系统科学 2021-04-15 Yonhon Ng , Pieter van Goor , Robert Mahony , Tarek Hamel

Attitude estimation is often a prerequisite for control of the attitude or orientation of mechanical systems. Current attitude estimation algorithms use coordinate representations for the group of rigid body orientations. All coordinate…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , Amit K. Sanyal , Melvin Leok , N. Harris McClamroch

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimation algorithm that globally minimizes the attitude estimation…

最优化与控制 · 数学 2007-05-23 Amit K. Sanyal , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper investigates the problem of continuous attitude estimation on $SO(3)$ using continuous angular velocity and linear acceleration measurements as well as intermittent linear velocity and inertial vector measurements. First, we…

系统与控制 · 电气工程与系统科学 2021-09-23 Miaomiao Wang , Abdelhamid Tayebi

This paper studies a rigid body attitude tracking control problem with attitude measurements only, when angular velocity measurements are not available. An angular velocity observer is constructed such that the estimated angular velocity is…

最优化与控制 · 数学 2015-03-26 Tse-Huai Wu , Taeyoung Lee

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…

最优化与控制 · 数学 2016-02-26 Harris Teague
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