Results 1 to 10 of about 1,800 (293)
Dual-Quaternion Analytic LQR Control Design for Spacecraft Proximity Operations [PDF]
Sensors, 2021 Proximity operations offer aggregate capability for a spacecraft operating in close proximity to another spacecraft, to perform on-orbit satellite servicing, or to a space object to perform debris removal. To utilize a spacecraft performing such advanced
Kyl Stanfield, Ahmad Bani Younes
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Dual Quaternion Functions and Its Applications [PDF]
Journal of Applied Mathematics, 2013 A dual quaternion is associated with two quaternions that have basis elements e0, e1, e2, e3, and ε. Dual numbers are often written in the form z=ζ+εζ*, where ε is the dual identity and has the properties ε2=0 (ε≠0).
Su Jin Lim, Kwang Ho Shon
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On Rayleigh Quotient Iteration for the Dual Quaternion Hermitian Eigenvalue Problem [PDF]
MathematicsThe application of eigenvalue theory to dual quaternion Hermitian matrices holds significance in the realm of multi-agent formation control. In this paper, we study the use of Rayleigh quotient iteration (RQI) for solving the right eigenpairs of dual ...
Shan-Qi Duan +2 more
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Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation [PDF]
Earth, Planets and Space, 2022 Considering that a unit dual quaternion can describe elegantly the rigid transformation including rotation and translation, the point-wise weighted 3D coordinate transformation using a unit dual quaternion is formulated.
Huaien Zeng +6 more
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Dual Quaternion Visual Servo Control. [PDF]
Proc IEEE Conf Decis Control, 2020 This paper focuses on a dual quaternion-based estimation and control approach for position-based visual servoing (PBVS). The pose estimation of the camera is achieved using a dual quaternion-based Extended Kalman Filter (EKF), which estimates the position and orientation of the camera based on feature points acquired through a sequence of camera images.
Saltus R, Salehi I, Rotithor G, Dani AP.
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Immersion and Invariance Adaptive Control for Spacecraft Pose Tracking via Dual Quaternions [PDF]
Complexity, 2021 This paper addresses the simultaneous attitude and position tracking of a target spacecraft in the presence of general unknown bounded disturbances in the framework of dual quaternions, which provides a concise and integrated description of the coupled ...
Xiaoping Shi, Xuan Peng, Yupeng Gong
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A dual quaternion algorithm of the Helmert transformation problem [PDF]
Earth, Planets and Space, 2018 Rigid transformation including rotation and translation can be elegantly represented by a unit dual quaternion. Thus, a non-differential model of the Helmert transformation (3D seven-parameter similarity transformation) is established based on unit dual ...
Huaien Zeng +3 more
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Fixed-time regulation of spacecraft orbit and attitude coordination with optimal actuation allocation using dual quaternion [PDF]
Frontiers in Robotics and AI, 2023 On-orbit service spacecraft with redundant actuators need to overcome orbital and attitude coupling when performing proximity maneuvers. In addition, transient/steady-state performance is required to fulfill the user-defined requirements.
Lichao Sun +6 more
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Dual third-order Jacobsthal quaternions [PDF]
Proyecciones (Antofagasta), 2018 In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers.
Gamaliel Cerda-Morales
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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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