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We present a continuous-time collision detection algorithm for quickly detecting whether certain polynomial trajectories in time intersect with convex obstacles. The algorithm is used in conjunction with an existing multicopter trajectory…

Robotics · Computer Science 2019-07-22 Nathan Bucki , Mark W. Mueller

In this context, a major focus of this thesis is on unintentional collisions, where a straight goal is to eliminate injury from users and passerby's via realtime sensing and control systems. A less obvious focus is to combine collision…

Robotics · Computer Science 2017-11-08 Kwan Suk Kim

We are interested in studying sports with robots and starting with the problem of intercepting a projectile moving toward a robot manipulator equipped with a shield. To successfully perform this task, the robot needs to (i) detect the…

Navigation and guidance of autonomous vehicles is a fundamental problem in robotics, which has attracted intensive research in recent decades. This report is mainly concerned with provable collision avoidance of multiple autonomous vehicles…

Optimization and Control · Mathematics 2014-01-28 Michael Hoy

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

A prioritized inverse kinematics (PIK) solution can be considered as a (regulation or output tracking) control law of a dynamical system with prioritized multiple outputs. We propose a method that guarantees that a joint trajectory…

Systems and Control · Electrical Eng. & Systems 2019-10-24 Sang-ik An , Dongheui Lee

The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

In automated manufacturing, robots must reliably assemble parts of various geometries and low tolerances. Ideally, they plan the required motions autonomously. This poses a substantial challenge due to high-dimensional state spaces and…

This paper proposes a fast and accurate trajectory planning algorithm for autonomous parking. Nominally, an optimal control problem should be formulated to describe this scheme, but the dimensionality of the optimal control problem is…

Robotics · Computer Science 2021-02-04 Bai Li , Tankut Acarman , Qi Kong , Youmin Zhang

Kinodynamic Motion Planning (KMP) is to find a robot motion subject to concurrent kinematics and dynamics constraints. To date, quite a few methods solve KMP problems and those that exist struggle to find near-optimal solutions and exhibit…

Robotics · Computer Science 2021-01-19 Linjun Li , Yinglong Miao , Ahmed H. Qureshi , Michael C. Yip

This paper aims to improve the path quality and computational efficiency of kinodynamic planners used for vehicular systems. It proposes a learning framework for identifying promising controls during the expansion process of sampling-based…

Robotics · Computer Science 2022-01-10 Seth Karten , Aravind Sivaramakrishnan , Edgar Granados , Troy McMahon , Kostas E. Bekris

In this paper, we address the problem of time-optimal coordination of mobile robots under kinodynamic constraints along specified paths. We propose a novel approach based on time discretization that leads to a mixed-integer linear…

Robotics · Computer Science 2017-04-06 Florent Altché , Xiangjun Qian , Arnaud de La Fortelle

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

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

Nonprehensile actions such as pushing are crucial for addressing multi-object rearrangement problems. Many traditional methods generate robot-centric actions, which differ from intuitive human strategies and are typically inefficient. To…

Robotics · Computer Science 2025-11-03 Kejia Ren , Gaotian Wang , Andrew S. Morgan , Lydia E. Kavraki , Kaiyu Hang

This work presents a motion planning framework for robotic manipulators that computes collision-free paths directly in image space. The generated paths can then be tracked using vision-based control, eliminating the need for an explicit…

Robotics · Computer Science 2025-07-04 Sreejani Chatterjee , Abhinav Gandhi , Berk Calli , Constantinos Chamzas

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

While motion planning approaches for automated driving often focus on safety and mathematical optimality with respect to technical parameters, they barely consider convenience, perceived safety for the passenger and comprehensibility for…

Robotics · Computer Science 2019-05-14 Maximilian Naumann , Martin Lauer , Christoph Stiller

Cooperative maneuver planning promises to significantly improve traffic efficiency at unsignalized intersections by leveraging connected automated vehicles. Previous works on this topic have been mostly developed for completely automated…

Robotics · Computer Science 2026-02-03 Marvin Klimke , Max Bastian Mertens , Benjamin Völz , Michael Buchholz
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