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This paper develops an algorithm that guides a multi-robot system in an unknown environment in search of fixed targets. The area to be scanned contains an unknown number of convex obstacles of unknown size and shape. The algorithm covers…

Robotics · Computer Science 2012-02-13 Jonathan Rogge , Dirk Aeyels

In this paper we study the Near-Gathering problem for a finite set of dimensionless, deterministic, asynchronous, anonymous, oblivious and autonomous mobile robots with limited visibility moving in the Euclidean plane in Look-Compute-Move…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-28 Linda Pagli , Giuseppe Prencipe , Giovanni Viglietta

The continuum robot has attracted more attention for its flexibility. Continuum robot kinematics models are the basis for further perception, planning, and control. The design and research of continuum robots are usually based on the…

Robotics · Computer Science 2020-09-16 Hao Cheng , Houde Liu , Xueqian Wang , Bin Liang

Traditional motion planning approaches for multi-legged locomotion divide the problem into several stages, such as contact search and trajectory generation. However, reasoning about contacts and motions simultaneously is crucial for the…

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

In this paper we have discussed a unique general algorithm for exploring and solving any kind of line maze with another simple one for simple mazes without loops or loops having highest two branches none of which are inward. For the general…

Robotics · Computer Science 2015-01-06 Shadman Sakib , Anik Chowdhury , Shekh Tanvir Ahamed , Syed Imam Hasan

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

In this paper, we present an approach for generating a variety of whole-body motions for a humanoid robot. We extend the available Model Predictive Control (MPC) approaches for walking on flat terrain to plan for both vertical motion of the…

This paper is about generating motion plans for high degree-of-freedom systems that account for collisions along the entire body. A particular class of mathematical programs with complementarity constraints become useful in this regard.…

We consider the problem of designing a smooth trajectory that traverses a sequence of convex sets in minimum time, while satisfying given velocity and acceleration constraints. This problem is naturally formulated as a nonconvex program. To…

Robotics · Computer Science 2025-04-29 Tobia Marcucci , Mathew Halm , Will Yang , Dongchan Lee , Andrew D. Marchese

In environments where multiple robots must coordinate in a shared space, decentralized approaches allow for decoupled planning at the cost of global guarantees, while centralized approaches make the opposite trade-off. These solutions make…

Robotics · Computer Science 2022-03-08 Claire Liang , Wil Thomason , E. Andy Ricci , Soham Sankaran

Multi-mobile robot systems show great advantages over one single robot in many applications. However, the robots are required to form desired task-specified formations, making feasible motions decrease significantly. Thus, it is challenging…

Robotics · Computer Science 2022-10-10 Wenhang Liu , Jiawei Hu , Heng Zhang , Michael Yu Wang , Zhenhua Xiong

We present a decoupled algorithm for motion planning for a collection of unit-balls moving among polyhedral obstacles in $\mathbb{R}^d$, for any $d \ge 2$. We assume that the robots have revolving areas in the vicinity of their start and…

Computational Geometry · Computer Science 2018-07-17 Israela Solomon , Dan Halperin

We investigate gathering algorithms for asynchronous autonomous mobile robots moving in uniform ring-shaped networks. Different from most work using the Look-Compute-Move (LCM) model, we assume that robots have limited visibility and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-13 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil , Koichi Wada

We study a variant of the Coordinated Motion Planning problem on undirected graphs, referred to herein as the \textsc{Coordinated Sliding-Motion Planning} (CSMP) problem. In this variant, we are given an undirected graph $G$, $k$ robots…

Discrete Mathematics · Computer Science 2025-03-03 Eduard Eiben , Robert Ganian , Iyad Kanj , Ramanujan M. Sridharan

In the fast evacuation problem, we study the path planning problem for two robots who want to minimize the worst-case evacuation time on the unit disk. The robots are initially placed at the center of the disk. In order to evacuate, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-15 Ioannis Lamprou , Russell Martin , Sven Schewe

We consider the problem of multi-robot path planning in a complex, cluttered environment with the aim of reducing overall congestion in the environment, while avoiding any inter-robot communication or coordination. Such limitations may…

Robotics · Computer Science 2023-07-11 Xiaolong Wang , Alp Sahin , Subhrajit Bhattacharya

The main constraint on relative position of geometric objects, used in spatial planning for computing the C-space maps (for example, in robotics, CAD, and packaging), is the relative non-overlapping of objects. This is the simplest…

Computational Geometry · Computer Science 2008-08-22 Gennady Pustylnik

Decentralized control of robots has attracted huge research interests. However, some of the research used unrealistic assumptions without collision avoidance. This report focuses on the collision-free control for multiple robots in both…

Robotics · Computer Science 2017-09-19 Xiaotian Yang