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This article introduces the Clarke transform and Clarke coordinates, which present a solution to the disengagement of an arbitrary number of coupled displacement actuation of continuum and soft robots. The Clarke transform utilizes the…

Robotics · Computer Science 2024-09-26 Reinhard Grassmann , Anastasiia Senyk , Jessica Burgner-Kahrs

The displacement-actuated continuum robot as an abstraction has been shown as a key abstraction to significantly simplify and improve approaches due to its relation to the Clarke transform. To highlight further potentials, we revisit and…

Robotics · Computer Science 2025-03-24 Reinhard M. Grassmann , Jessica Burgner-Kahrs

We present a framework based on Clarke coordinates for spatial displacement-actuated continuum robots with an arbitrary number of joints. This framework consists of three modular components, i.e., a planner, trajectory generator, and…

Robotics · Computer Science 2025-02-10 Reinhard M. Grassmann , Jessica Burgner-Kahrs

For almost all tendon-driven continuum robots, a segment is actuated by three or four tendons constrained by its mechanical design. For both cases, methods to account for the constraints are known. However, for an arbitrary number of…

Robotics · Computer Science 2024-09-24 Reinhard M. Grassmann , Jessica Burgner-Kahrs

In this letter, we demonstrate that previously proposed improved state parameterizations for soft and continuum robots are specific cases of Clarke coordinates. By explicitly deriving these improved parameterizations from a generalized…

Robotics · Computer Science 2025-03-18 Reinhard M. Grassmann , Jessica Burgner-Kahrs

In this paper, we propose a dynamic model and control framework for tendon-driven continuum robots (TDCRs) with multiple segments and an arbitrary number of tendons per segment. Our approach leverages the Clarke transform, the…

Robotics · Computer Science 2025-10-08 Christian Muhmann , Reinhard M. Grassmann , Max Bartholdt , Jessica Burgner-Kahrs

Suitable representations of dynamical systems can simplify their analysis and control. On this line of thought, this paper aims to answer the following question: Can a transformation of the generalized coordinates under which the actuators…

Several recently released humanoid robots, inspired by the mechanical design of Cassie, employ actuator configurations in which the motors are displaced from the joints to reduce leg inertia. While studies accounting for the full kinematic…

Robotics · Computer Science 2025-10-09 Victor Lutz , Ludovic de Matteis , Virgile Batto , Nicolas Mansard

Natural organisms utilize distributed actuation through their musculoskeletal systems to adapt their gait for traversing diverse terrains or to morph their bodies for varied tasks. A longstanding challenge in robotics is to emulate this…

In this work, we consider a group of robots working together to manipulate a rigid object to track a desired trajectory in $SE(3)$. The robots do not know the mass or friction properties of the object, or where they are attached to the…

Robotics · Computer Science 2021-08-23 Preston Culbertson , Jean-Jacques E. Slotine , Mac Schwager

We give a novel logical characterization of encoder-decoder transformers, the foundational architecture for LLMs that also sees use in various settings that benefit from cross-attention. We study such transformers over text in the practical…

Logic in Computer Science · Computer Science 2026-05-11 Veeti Ahvonen , Damian Heiman , Antti Kuusisto , Miguel Moreno , Matias Selin

Intelligent robots must be able to perform safe and efficient motion planning in their environments. Central to modern motion planning is the configuration space. Configuration spaces define the set of configurations of a robot that result…

Robotics · Computer Science 2025-08-11 Christopher Benka , Judah Goldfeder , Carl Gross , Riya Gupta , Hod Lipson

Recently it has been reported that range-measurement inconsistency, or equivalently mismatches in prescribed inter-agent distances, may prevent the popular gradient controllers from guiding rigid formations of mobile agents to converge to…

Robotics · Computer Science 2016-08-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

Transportation missions in aerospace are limited to the capability of each aerospace robot and the properties of the target transported object, such as mass, inertia, and grasping locations. We present a novel decentralized adaptive…

Robotics · Computer Science 2024-09-04 Longsen Gao , Kevin Aubert , David Saldana , Claus Danielson , Rafael Fierro

This paper presents decentralized algorithms for formation control of multiple robots in three dimensions. Specifically, we leverage the mathematical properties of cyclic pursuit along with results from contraction and partial contraction…

Systems and Control · Computer Science 2016-11-17 Sumeet Singh , Edward Schmerling , Marco Pavone

Quadruped robots have strong adaptability to extreme environments but may also experience faults. Once these faults occur, robots must be repaired before returning to the task, reducing their practical feasibility. One prevalent concern…

Robotics · Computer Science 2024-01-01 Xinyuan Wu , Wentao Dong , Hang Lai , Yong Yu , Ying Wen

Consider a set of $n$ simple autonomous mobile robots (asynchronous, no common coordinate system, no identities, no central coordination, no direct communication, no memory of the past, non-rigid, deterministic) initially in distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Paola Flocchini , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

Collaborative robots and space manipulators contain significant joint flexibility. It complicates the control design, compromises the control bandwidth, and limits the tracking accuracy. The imprecise knowledge of the flexible joint…

Robotics · Computer Science 2020-03-12 Shuyang Chen , John Wen

Assembly of large scale structural systems in space is understood as critical to serving applications that cannot be deployed from a single launch. Recent literature proposes the use of discrete modular structures for in-space assembly and…

Multiagent Systems · Computer Science 2020-08-28 Allan Costa , Benjamin Jenett , Irina Kostitsyna , Amira Abdel-Rahman , Neil Gershenfeld , Kenneth Cheung

Reconfigurable robot swarms are capable of connecting with each other to form complex structures. Current mechanical or magnetic connection mechanisms can be complicated to manufacture, consume high power, have a limited load-bearing…

Robotics · Computer Science 2024-12-03 Sha Yi , Katia Sycara , Zeynep Temel
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