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The motion of a mechanical system can be defined as a path through its configuration space. Computing such a path has a computational complexity scaling exponentially with the dimensionality of the configuration space. We propose to reduce…

Robotics · Computer Science 2018-09-17 Andreas Orthey , Olivier Roussel , Olivier Stasse , Michel Taïx

Sampling-based motion planners have proven to be efficient solutions to a variety of high-dimensional, geometrically complex motion planning problems with applications in several domains. The traditional view of these approaches is that…

Robotics · Computer Science 2014-04-09 Andrew Dobson , George V. Moustakides , Kostas E. Bekris

In this paper we study a multi-robot path planning problem for persistent monitoring of an environment. We represent the areas to be monitored as the vertices of a weighted graph. For each vertex, there is a constraint on the maximum time…

Robotics · Computer Science 2019-03-15 Ahmad Bilal Asghar , Stephen L. Smith , Shreyas Sundaram

We propose a generic multi-robot planning mechanism that combines an optimal task planner and an optimal path planner to provide a scalable solution for complex multi-robot planning problems. The Integrated planner, through the interaction…

Robotics · Computer Science 2024-03-05 Aman Aryan , Manan Modi , Indranil Saha , Rupak Majumdar , Swarup Mohalik

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

Many combinatorial optimization problems can be formulated as the search for a subgraph that satisfies certain properties and minimizes the total weight. We assume here that the vertices correspond to points in a metric space and can take…

Data Structures and Algorithms · Computer Science 2024-12-25 Marin Bougeret , Jérémy Omer , Michael Poss

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

We present a scalable and effective multi-agent safe motion planner that enables a group of agents to move to their desired locations while avoiding collisions with obstacles and other agents, with the presence of rich obstacles,…

Robotics · Computer Science 2020-12-17 Jingkai Chen , Jiaoyang Li , Chuchu Fan , Brian Williams

In this paper, we investigate the optimal robot path planning problem for high-level specifications described by co-safe linear temporal logic (LTL) formulae. We consider the scenario where the map geometry of the workspace is…

Systems and Control · Electrical Eng. & Systems 2024-01-18 Jianing Zhao , Keyi Zhu , Mingyang Feng , Xiang Yin

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

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

Off-road environments present unique challenges for autonomous navigation due to their complex and unstructured nature. Traditional global path-planning methods, which typically aim to minimize path length and travel time, perform poorly on…

Motion planners for mobile robots in unknown environments face the challenge of simultaneously maintaining both robustness against unmodeled uncertainties and persistent feasibility of the trajectory-finding problem. That is, while dealing…

Robotics · Computer Science 2021-07-15 Inkyu Jang , Dongjae Lee , Seungjae Lee , H. Jin Kim

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

In this paper, we deal with the problem of full-body path planning for walking robots. The state of walking robots is defined in multi-dimensional space. Path planning requires defining the path of the feet and the robot's body. Moreover,…

Robotics · Computer Science 2023-03-07 Dominik Belter

This paper is concerned with problems relevant to motion planning in robotics. Configuration spaces are of practical relevance in designing safe control schemes for robots moving on a track. The topological complexity of a configuration…

Algebraic Topology · Mathematics 2019-05-02 Allaoua Boughrira , Hellen Colman

In this paper, we study the problem of coverage planning by a mobile robot with a limited energy budget. The objective of the robot is to cover every point in the environment while minimizing the traveled path length. The environment is…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Gokarna Sharma

Coordinating the motion of multiple robots in cluttered environments remains a computationally challenging task. We study the problem of minimizing the execution time of a set of geometric paths by a team of robots with state-dependent…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , Malakhi Hopkins , M. Ani Hsieh , Vijay Kumar

Assume that two robots are located at the centre of a unit disk. Their goal is to evacuate from the disk through an exit at an unknown location on the boundary of the disk. At any time the robots can move anywhere they choose on the disk,…

Data Structures and Algorithms · Computer Science 2023-06-22 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Lata Narayanan , Jarda Opatrny , Birgit Vogtenhuber

Optimization-based methods are commonly applied in autonomous driving trajectory planners, which transform the continuous-time trajectory planning problem into a finite nonlinear program with constraints imposed at finite collocation…

Robotics · Computer Science 2024-02-09 Bai Li , Youmin Zhang , Tantan Zhang , Tankut Acarman , Yakun Ouyang , Li Li , Hairong Dong , Dongpu Cao

We study the problem of determining coordinated motions, of minimum total length, for two arbitrary convex centrally-symmetric (CCS) robots in an otherwise obstacle-free plane. Using the total path length traced by the two robot centres as…

Computational Geometry · Computer Science 2025-03-05 David Kirkpatrick , Paul Liu