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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

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

Robotic assembly planning enables architects to explicitly account for the assembly process during the design phase, and enables efficient building methods that profit from the robots' different capabilities. Previous work has addressed…

Robotics · Computer Science 2023-04-21 Valentin Noah Hartmann , Andreas Orthey , Danny Driess , Ozgur S. Oguz , Marc Toussaint

Multi-robot control in cluttered environments is a challenging problem that involves complex physical constraints, including robot-robot collisions, robot-obstacle collisions, and unreachable motions. Successful planning in such settings…

Robotics · Computer Science 2026-04-24 Jiabao Ji , Yongchao Chen , Yang Zhang , Ramana Rao Kompella , Chuchu Fan , Gaowen Liu , Shiyu Chang

This letter presents a novel coarse-to-fine motion planning framework for robotic manipulation in cluttered, unmodeled environments. The system integrates a dual-camera perception setup with a B-spline-based model predictive control (MPC)…

Robotics · Computer Science 2025-07-16 Chen Cai , Ernesto Dickel Saraiva , Ya-jun Pan , Steven Liu

Farber and Rudyak introduced topological complexity $\mathbf{TC}(X)$ of motion planning and its higher analogs $\mathbf{TC}_n(X)$ to measure the complexity of assigning paths to point tuples. Motivated by motion planning where a robotic…

Algebraic Topology · Mathematics 2015-08-20 Yongheng Zhang

Many robot planning tasks require satisfaction of one or more constraints throughout the entire trajectory. For geometric constraints, manifold-constrained motion planning algorithms are capable of planning collision-free path between start…

Robotics · Computer Science 2026-04-16 Shrutheesh R Iyer , I-Chia Chang , Andrew Z. Liu , Yan Gu , Zachary Kingston

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

Finding robot poses and trajectories represents a foundational aspect of robot motion planning. Despite decades of research, efficiently and robustly addressing these challenges is still difficult. Existing approaches are often plagued by…

Robotics · Computer Science 2023-11-06 Chen Liang , Xifeng Gao , Kui Wu , Zherong Pan

The performance of optimization-based robot motion planning algorithms is highly dependent on the initial solutions, commonly obtained by running a sampling-based planner to obtain a collision-free path. However, these methods can be slow…

Robotics · Computer Science 2025-08-15 J. Carvalho , A. Le , P. Kicki , D. Koert , J. Peters

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

Motion Planning (MP) is a critical challenge in robotics, especially pertinent with the burgeoning interest in embodied artificial intelligence. Traditional MP methods often struggle with high-dimensional complexities. Recently neural…

Robotics · Computer Science 2024-10-18 Xujie Shen , Haocheng Peng , Zesong Yang , Juzhan Xu , Hujun Bao , Ruizhen Hu , Zhaopeng Cui

The aim of coordinated planning is to avoid robot-to-robot collisions in a multi-robot system, and there are two standard solution approaches: centralized planning and decoupled planning. Our first contribution is a decoupled planning…

Robotics · Computer Science 2024-01-17 Jonas Wittmann , Franziska Ochsenfarth , Valentin Sonneville , Daniel Rixen

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

This paper presents a method for constrained motion planning from vision, which enables a robot to move its end-effector over an observed surface, given start and destination points. The robot has no prior knowledge of the surface shape,…

Robotics · Computer Science 2020-06-23 T. Pardi , V. Ortenzi , C. Fairbairn , T. Pipe , A. M. Ghalamzan E. , R. Stolkin

Algorithms for motion planning in unknown environments are generally limited in their ability to reason about the structure of the unobserved environment. As such, current methods generally navigate unknown environments by relying on…

Robotics · Computer Science 2019-10-21 Amine Elhafsi , Boris Ivanovic , Lucas Janson , Marco Pavone

We consider path planning for a rigid spatial robot with 6 degrees of freedom (6 DOFs), moving amidst polyhedral obstacles. A correct, complete and practical path planner for such a robot has never been achieved, although this is widely…

Robotics · Computer Science 2024-12-31 Zhaoqi Zhang , Yi-Jen Chiang , Chee Yap

We present a simple and easy-to-implement algorithm to detect plan infeasibility in kinematic motion planning. Our method involves approximating the robot's configuration space to a discrete space, where each degree of freedom has a finite…

Robotics · Computer Science 2025-04-29 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

In this work, we consider the problem of decentralized multi-robot target tracking and obstacle avoidance in dynamic environments. Each robot executes a local motion planning algorithm which is based on model predictive control (MPC). The…

Robotics · Computer Science 2019-09-04 Rahul Tallamraju , Sujit Rajappa , Michael Black , Kamalakar Karlapalem , Aamir Ahmad