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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…

系统与控制 · 电气工程与系统科学 2021-09-13 Ajay Singh , Trenton S. Sieb , James H. Howe , Hashim A. Hashim

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

最优化与控制 · 数学 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

The attitude of a rigid-body in the three dimensional space has a unique and global definition on the Special Orthogonal Group SO (3). This paper gives an overview of the rotation matrix, attitude kinematics and parameterization. The four…

最优化与控制 · 数学 2024-10-11 Hashim A. Hashim

This paper concerns the estimation problem of attitude, position, and linear velocity of a rigid-body autonomously navigating with six degrees of freedom (6 DoF). The navigation dynamics are highly nonlinear and are modeled on the matrix…

系统与控制 · 电气工程与系统科学 2021-08-27 Hashim A. Hashim , Mohammed Abouheaf , Mohammad A. Abido

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…

最优化与控制 · 数学 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

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

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

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

系统与控制 · 计算机科学 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

Gradient-based optimization methods are the most popular choice for finding local optima for classical minimization and saddle point problems. Here, we highlight a systemic issue of gradient dynamics that arise for saddle point problems,…

机器学习 · 计算机科学 2019-02-15 Leonard Adolphs , Hadi Daneshmand , Aurelien Lucchi , Thomas Hofmann

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

机器人学 · 计算机科学 2018-09-28 Philipp Allgeuer , Sven Behnke

Motivated by drone autonomous navigation applications we address a novel problem of velocity-aided attitude estimation by combining two linear velocity components measured in a body-fixed frame and a linear velocity component measured in an…

最优化与控制 · 数学 2017-03-22 Minh-Duc Hua , Tarek Hamel , Claude Samson

Absolute pose estimation is a fundamental problem in computer vision, and it is a typical parameter estimation problem, meaning that efforts to solve it will always suffer from outlier-contaminated data. Conventionally, for a fixed…

计算机视觉与模式识别 · 计算机科学 2019-12-17 Yinlong Liu , Xuechen Li , Manning Wang , Guang Chen , Zhijian Song , Alois Knoll

The global attitude synchronization problem is studied for networked rigid bodies under directed topologies. To avoid the asynchronous pitfall where only vector parts converge to some identical value but scalar parts do not, multiplicative…

系统与控制 · 电气工程与系统科学 2023-10-10 Fan Zhang , Deyuan Meng , Jingyao Zhang

This paper describes the synthesis and evaluation of a novel state estimator for a Quadrotor Micro Aerial Vehicle. Dynamic equations which relate acceleration, attitude and the aero-dynamic propeller drag are encapsulated in an extended…

机器人学 · 计算机科学 2015-09-14 Dinuka Abeywardena , Sarath Kodagoda , Gamini Dissanayake , Rohan Munasinghe

Accurate and robust attitude estimation is a central challenge for autonomous vehicles operating in GNSS-denied or highly dynamic environments. In such cases, Inertial Measurement Units (IMUs) alone are insufficient for reliable tilt…

机器人学 · 计算机科学 2025-09-18 Méloné Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

This paper presents four types of tracking control systems for the attitude dynamics of a rigid body. First, a smooth control system is constructed to track a given desired attitude trajectory, while guaranteeing almost semi-global…

最优化与控制 · 数学 2014-12-10 Taeyoung Lee

Successful navigation of a rigid-body traveling with six degrees of freedom (6 DoF) requires accurate estimation of attitude , position, and linear velocity. The true navigation dynamics are highly nonlinear and are modeled on the matrix…

系统与控制 · 电气工程与系统科学 2021-07-30 Hashim A Hashim

We revisit the nonlinear complimentary filter on $SO(3)$, previously proposed in the literature, and provide the (time-explicit) solution to the matrix ODE governing the attitude estimation error in the absence of measurement errors. The…

最优化与控制 · 数学 2017-02-24 Soulaimane Berkane , Abdelhamid Tayebi

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 proposes a globally and exponentially convergent predictive observer for attitude and position estimation based on landmark measurements and velocity (angular and linear) readings. It is assumed that landmark measurements are…

系统与控制 · 计算机科学 2016-05-02 Danial Senejohnny , Mehrzad Namvar