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Time-Optimal Path Parameterization (TOPP) is a well-studied problem in robotics and has a wide range of applications. There are two main families of methods to address TOPP: Numerical Integration (NI) and Convex Optimization (CO). NI-based…

Robotics · Computer Science 2017-11-23 Hung Pham , Quang-Cuong Pham

Multi-robot systems have begun to permeate into a variety of different fields, but collision-free navigation in a decentralized manner is still an arduous task. Typically, the navigation of high speed multi-robot systems demands replanning…

In this paper we present a method for automatically planning robust optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta

In this paper, we consider the automated planning of optimal paths for a robotic team satisfying a high level mission specification. Each robot in the team is modeled as a weighted transition system where the weights have associated…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Calin Belta

We present a model predictive controller (MPC) for multi-contact locomotion where predictive optimizations are realized by time-optimal path parameterization (TOPP). A key feature of this solution is that, contrary to existing planners…

Robotics · Computer Science 2017-10-12 Stéphane Caron , Quang-Cuong Pham

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

Traditional multi-robot motion planning (MMP) focuses on computing trajectories for multiple robots acting in an environment, such that the robots do not collide when the trajectories are taken simultaneously. In safety-critical…

Robotics · Computer Science 2023-03-15 Justin Kottinger , Shaull Almagor , Morteza Lahijanian

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

We study the problem of sequential task assignment and collision-free routing for large teams of robots in applications with inter-task precedence constraints (e.g., task $A$ and task $B$ must both be completed before task $C$ may begin).…

Robotics · Computer Science 2020-06-17 Kyle Brown , Oriana Peltzer , Martin A. Sehr , Mac Schwager , Mykel J. Kochenderfer

Path planning for multiple robots is well studied in the AI and robotics communities. For a given discretized environment, robots need to find collision-free paths to a set of specified goal locations. Robots can be fully anonymous,…

Artificial Intelligence · Computer Science 2017-04-26 Wolfgang Hönig , T. K. Satish Kumar , Liron Cohen , Hang Ma , Sven Koenig , Nora Ayanian

We study the problem of optimal multi-robot path planning on graphs (MPP) over four distinct minimization objectives: the total arrival time, the makespan (last arrival time), the total distance, and the maximum (single-robot traveled)…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

Finding the Time-Optimal Parameterization of a given Path (TOPP) subject to kinodynamic constraints is an essential component in many robotic theories and applications. The objective of this article is to provide a general, fast and robust…

Robotics · Computer Science 2014-09-24 Quang-Cuong Pham

We present new models of optimization-based task and motion planning (TAMP) for robotic pick-and-place (P&P), which plan action sequences and motion trajectory with low computational costs. We improved an existing state-of-the-art TAMP…

Robotics · Computer Science 2022-01-24 Takuma Kogo , Kei Takaya , Hiroyuki Oyama

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

Planning collision-free paths for multi-robot systems (MRS) is a challenging problem because of the safety and efficiency constraints required for real-world solutions. Even though coupled path planning approaches provide optimal…

Robotics · Computer Science 2021-01-07 Aditya Rathi , Rohith G , Madhu Vadali

Human awareness in robot motion planning is crucial for seamless interaction with humans. Many existing techniques slow down, stop, or change the robot's trajectory locally to avoid collisions with humans. Although using the information on…

Robotics · Computer Science 2022-10-24 Marco Faroni , Manuel Beschi , Nicola Pedrocchi

Planning for multi-robot teams in complex environments is a challenging problem, especially when these teams must coordinate to accomplish a common objective. In general, optimal solutions to these planning problems are computationally…

Robotics · Computer Science 2024-03-07 Cora A. Dimmig , Kevin C. Wolfe , Joseph Moore

Path planning for multiple robots (MRPP) represents a task of finding non-colliding paths for robots through which they can navigate from their initial positions to specified goal positions. The problem is usually modeled using undirected…

Robotics · Computer Science 2021-03-09 Pavel Surynek

Scalable multi-robot transition is essential for ubiquitous adoption of robots. As a step towards it, a computationally efficient decentralized algorithm for continuous-time trajectory optimization in multi-robot scenarios based upon model…

This work deals with the problem of planning conflict-free paths for mobile robots in cluttered environments. Since centralized, coupled planning algorithms are computationally intractable for large numbers of robots, we consider decoupled…

Robotics · Computer Science 2019-08-08 Wenying Wu , Subhrajit Bhattacharya , Amanda Prorok