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This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

The beta transformation is the iterated map $\beta x\,\mod1$; it generates the base-$\beta$ expansion of a real number x. Every iterated piece-wise monotonic map is topologically conjugate to the beta transformation. For all but a countable…

Dynamical Systems · Mathematics 2024-02-02 Linas Vepstas

Cognitive map learners (CML) have been shown to enable hierarchical, compositional machine learning. That is, interpedently trained CML modules can be arbitrarily composed together to solve more complex problems without task-specific…

Robotics · Computer Science 2026-03-31 Nathan McDonald , Colyn Seeley , Christian Brazeau

This chapter is about the fundamentals of fabrication, control, and human-robot interaction of a new type of collaborative robotic manipulators, called malleable robots, which are based on adjustable architectures of varying stiffness for…

Robotics · Computer Science 2025-02-07 Angus B. Clark , Xinran Wang , Alex Ranne , Nicolas Rojas

The kinematics of a robot manipulator are described in terms of the mapping connecting its joint space and the 6-dimensional Euclidean group of motions $SE(3)$. The associated Jacobian matrices map into its Lie algebra $\mathfrak{se}(3)$,…

Metric Geometry · Mathematics 2017-11-22 P. Donelan , J. M. Selig

The growing need to automate processes in industrial settings has led to tremendous growth in the robotic systems and especially the robotic arms. The paper assumes the design, modeling and control of a robotic arm to suit industrial…

Robotics · Computer Science 2025-12-02 Sathish Krishna Anumula , SVSV Prasad Sanaboina , Ravi Kumar Nagula , R. Nagaraju

Multisection continuum arms offer complementary characteristics to those of traditional rigid-bodied robots. Inspired by biological appendages, such as elephant trunks and octopus arms, these robots trade rigidity for compliance, accuracy…

Robotics · Computer Science 2019-01-08 Isuru S. Godage , Robert J. Webster , Ian D. Walker

Knowledge of a manipulator's workspace is fundamental for a variety of tasks including robot design, grasp planning and robot base placement. Consequently, workspace representations are well studied in robotics. Two important…

Robotics · Computer Science 2024-10-10 Martin Rudorfer

The arm structure of the Milky Way remains somewhat of an unknown, with observational studies hindered by our location within the Galactic disc. In the work presented here we use smoothed particle hydrodynamics (SPH) and radiative transfer…

Astrophysics of Galaxies · Physics 2015-06-24 Alex R. Pettitt , Clare L. Dobbs , David M. Acreman , Matthew R. Bate

In this paper, we develop the theory of constrained motion spaces of robotic arms. We compute their homology groups in two cases: when the constraint is a horizontal line and when it is a smooth curve whose motion space is a smooth…

Algebraic Topology · Mathematics 2024-12-17 Jackson Pierce

Dual-arm manipulation tasks can be prescribed to a robotic system in terms of desired absolute and relative motion of the robot's end-effectors. These can represent, e.g., jointly carrying a rigid object or performing an assembly task. When…

Systems and Control · Computer Science 2019-08-21 Diogo Almeida , Yiannis Karayiannidis

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

Described here is a simple, reliable, and quite general method for rapid computation of robot arm inverse kinematic solutions and motion path plans in the presence of complex obstructions. The method derived from the MSC (map-seeking…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 David W. Arathorn

This paper investigates the problem of the dynamic balance control of multi-arm free-floating space robot during capturing an active object in close proximity. The position and orientation of space base will be affected during the operation…

Robotics · Computer Science 2007-05-23 Panfeng Huang , Yangsheng Xu , Bin Liang

The paper takes the first step towards the de- velopment of a control framework for underactuated flying humanoid robots. These robots may thus have the capacities of flight, contact locomotion, and manipulation, and benefit from…

Robotics · Computer Science 2017-06-06 Daniele Pucci , Silvio Traversaro , Francesco Nori

Through the implementation of reconfigurability to achieve flexibility and adaptation to tasks by morphology changes rather than by increasing the number of joints, malleable robots present advantages over traditional serial robot arms in…

Robotics · Computer Science 2024-07-03 Angus B. Clark , Nicolas Rojas

This article presents a new hand architecture with three under-actuated fingers. Each finger performs spatial movements to achieve more complex and varied grasping than the existing planar-movement fingers. The purpose of this hand is to…

Robotics · Computer Science 2021-06-18 Pol Hamon , Damien Chablat , Franck Plestan

This paper proposes a distributed on-orbit spacecraft assembly algorithm, where future spacecraft can assemble modules with different functions on orbit to form a spacecraft structure with specific functions. This form of spacecraft…

Robotics · Computer Science 2024-11-27 Tianle Liu , Zhixiang Wang , Yongwei Zhang , Ziwei Wang , Zihao Liu , Yizhai Zhang , Panfeng Huang

Using results on the topology of moduli space of polygons [Jaggi, 92; Kapovich and Millson, 94], it can be shown that for a planar robot arm with $n$ segments there are some values of the base-length, $z$, at which the configuration space…

Differential Geometry · Mathematics 2014-09-02 Subhrajit Bhattacharya , Mihail Pivtoraiko

Flying manipulators are aerial drones with attached rigid-bodied robotic arms and belong to the latest and most actively developed research areas in robotics. The rigid nature of these arms often lack compliance, flexibility, and smoothness…

Robotics · Computer Science 2021-11-08 Róbert Szász , Mike Allenspach , Minghao Han , Marco Tognon , Robert. K. Katzschmann
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