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This paper considers the problem of robot motion planning in a workspace with obstacles for systems with uncertain 2nd-order dynamics. In particular, we combine closed form potential-based feedback controllers with adaptive control…

Robotics · Computer Science 2020-05-27 Christos K. Verginis , Dimos V. Dimarogonas

The necessity and benefit of singular solutions in the study of physical systems is shown. By singular solutions we mean solutions that are not contained in the general solution of the system of equations that describes the dynamic system…

General Physics · Physics 2024-10-16 Vyacheslav Buts

Creating accurate spatial representations that take into account uncertainty is critical for autonomous robots to safely navigate in unstructured environments. Although recent LIDAR based mapping techniques can produce robust occupancy…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Anthony Tompkins , Ransalu Senanayake , Fabio Ramos

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

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Dongheui Lee

Self-assembly enables multi-robot systems to merge diverse capabilities and accomplish tasks beyond the reach of individual robots. Incorporating varied docking mechanisms layouts (DMLs) can enhance robot versatility or reduce costs.…

Robotics · Computer Science 2024-01-30 Lianxin Zhang , Yang Jiao , Yihan Huang , Ziyou Wang , Huihuan Qian

Dynamically changing environments, unreliable state estimation, and operation under severe resource constraints are fundamental challenges that limit the deployment of small autonomous drones. We address these challenges in the context of…

Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

This paper proposes a new design method to determine the feasible set of parameters of translational or position/orientation decoupled parallel robots for a prescribed singularity-free workspace of regular shape. The suggested method uses…

Robotics · Computer Science 2012-04-13 Damien Chablat , Guillaume Moroz , Vigen Arakelian , Sébastien Briot , Philippe Wenger

High degree-of-freedom dual-arm robots are becoming increasingly common due to their morphology enabling them to operate effectively in human environments. However, motion planning in real-time within unknown, changing environments remains…

Robotics · Computer Science 2025-11-13 Richard Cheng , Peter Werner , Carolyn Matl

This paper studies, for the first time, the trajectory planning problem in adversarial environments, where the objective is to design the trajectory of a robot to reach a desired final state despite the unknown and arbitrary action of an…

Optimization and Control · Mathematics 2019-10-25 Yin-Chen Liu , Gianluca Bianchin , Fabio Pasqualetti

We consider the problem of optimal path planning in different homotopy classes in a given environment. Though important in robotics applications, path-planning with reasoning about homotopy classes of trajectories has typically focused on…

Robotics · Computer Science 2017-10-10 Subhrajit Bhattacharya , Robert Ghrist

We study computationally-hard fundamental motion planning problems where the goal is to translate $k$ axis-aligned rectangular robots from their initial positions to their final positions without collision, and with the minimum number of…

Computational Geometry · Computer Science 2024-03-05 Iyad Kanj , Salman Parsa

The Arbitrary Pattern Formation problem asks for a distributed algorithm that moves a set of autonomous mobile robots to form any arbitrary pattern given as input. The robots are assumed to be autonomous, anonymous and identical. They…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-08 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

Offline optimal planning of trajectories for redundant robots along prescribed task space paths is usually broken down into two consecutive processes: first, the task space path is inverted to obtain a joint space path, then, the latter is…

Robotics · Computer Science 2023-12-13 Enrico Ferrentino , Heitor J. Savino , Antonio Franchi , Pasquale Chiacchio

New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations. To that end, the base of the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Nastassja Cipriani , José M. M. Senovilla

Series elastic robots are best able to follow trajectories which obey the limitations of their actuators, since they cannot instantly change their joint forces. In fact, the performance of series elastic actuators can surpass that of ideal…

Robotics · Computer Science 2018-07-18 Rachel Schlossman , Gray C. Thomas , Orion Campbell , Luis Sentis

Recently, domain-uniform stabilizability and detectability has been the central assumption %in order robustness results on the to ensure robustness in the sense of exponential decay of spatially localized perturbations in optimally…

Optimization and Control · Mathematics 2025-02-18 Benedikt Oppeneiger , Manuel Schaller , Karl Worthmann

A cuspidal robot can move from one inverse kinematics (IK) solution to another without crossing a singularity. Multiple industrial robots are cuspidal. They tend to have a beautiful mechanical design, but they pose path planning challenges.…

Robotics · Computer Science 2025-05-01 Alexander J. Elias , John T. Wen

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto