Results 21 to 30 of about 2,080 (316)
Advances in Mechanical Engineering, 2017 The robust parameter estimation of unknown space objects is essential to the on-orbit servicing missions. Based on the adaptive filtering techniques along with the dual quaternions modeling methods for pose estimation, this article proposes a dual vector
Xianghao Hou +3 more
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Robust Pose and Inertial Parameter Estimation of an Unknown Aircraft Based on Variational Bayesian Dual Vector Quaternion Extended Kalman Filter [PDF]
EntropyAccurately determining the parameters of an unmodeled spacecraft is crucial. Filtering methods that are resilient to uncertainty, employing dual quaternion frameworks to ascertain orientation and position, introduce a design for an extended Kalman filter
Shengli Xu, Yangwang Fang, Hanqiao Huang
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Hyper-Dual Leonardo Quaternions
Journal of New TheoryIn this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
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Adaptive Control for Gravitational Wave Detection Formation Considering Time-Varying Communication Delays [PDF]
Sensors, 2023 A distributed six-degree-of-freedom (6-DOF) cooperative control for multiple spacecraft formation is investigated considering parametric uncertainties, external disturbances, and time-varying communication delays.
Yu Zhang +4 more
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Dual Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2015 In this study, we define the dual Fibonacci quaternion and the dual Lucas quaternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and
Nurkan, Semra Kaya, Güven İ.A.
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Kinematic Feedback Control Using Dual Quaternions [PDF]
, 2018 This paper presents results on kinematic controllers for the stabilization of rigid body displacements using dual quaternions. The paper shows how certain results for quaternion stabilization of rotation can be extended to dual quaternions stabilization ...
Olav Egeland
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Dual Quaternion-Based Neural Network Control for AAVs: Dynamic Modeling and Trajectory Tracking
IEEE AccessThe use of dual quaternions in the dynamic modeling of Autonomous Aerial Vehicles (AAVs) provides an elegant and singularity-free alternative to Euler angle-based representations, thereby eliminating the gimbal lock problem and enabling compact ...
Angel Eduardo Zamora Suarez +3 more
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Compact Dual-Quaternion-Based Visual Servoing for Perpendicular Alignment with Surface Normal Constraints [PDF]
SensorsThe ability to reliably press physical buttons is a common requirement in robotics. Conventional vision-based methods often suffer from positional errors during execution if the end-effector’s approach is not perpendicular to the target surface.
Sheng Li +3 more
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The Regularity of Functions on Dual Split Quaternions in Clifford Analysis
Abstract and Applied Analysis, 2014 This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split ...
Ji Eun Kim, Kwang Ho Shon
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Dual transformations and quaternions [PDF]
Mathematical Methods in the Applied Sciences, 2021 *Yüca, Gülsüm ( Aksaray, Yazar )In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion ...
Yüca, Gülsüm, Yaylı, Yusuf
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