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In robotic applications, the control, and actuation deal with a continuous description of the system and environment, while high-level planning usually works with a discrete description. This paper considers the problem of bridging the…

Robotics · Computer Science 2020-11-23 Yuxiao Chen , Andrew Singletary , Aaron D. Ames

The optimal control of a mechanical system is of crucial importance in many realms. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion…

Optimization and Control · Mathematics 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

In industrial Internet environments, mobile robots must generate collision-free global routes under stochastic obstacle layouts and random perturbations in commanded linear and angular velocities. This paper models a differential-drive…

Robotics · Computer Science 2026-01-30 Haopeng Zhao , Dajun Tao , Tian Qi , Jingyuan Xu , Zijie Zhou , Lipeng Liu

Motion planning is a difficult problem in robot control. The complexity of the problem is directly related to the dimension of the robot's configuration space. While in many theoretical calculations and practical applications the…

Robotics · Computer Science 2020-05-26 Felix Wiebe , Shivesh Kumar , Daniel Harnack , Malte Langosz , Hendrik Wöhrle , Frank Kirchner

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

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

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…

This paper focuses on intuitive and direct off-line robot programming from a CAD drawing running on a common 3-D CAD package. It explores the most suitable way to represent robot motion in a CAD drawing, how to automatically extract such…

Robotics · Computer Science 2013-09-10 Pedro Neto , Nuno Mendes

The physical coupling between robots has the potential to improve the capabilities of multi-robot systems in challenging manufacturing processes. However, the path tracking accuracy of physically coupled robots is not studied adequately,…

Systems and Control · Electrical Eng. & Systems 2024-12-05 Xin Ye , Karl Handwerker , Sören Hohmann

We study the problem of determining optimal coordinated motions for two disc robots in an otherwise obstacle-free plane. Using the total path length traced by the two disc centres as a measure of distance, we give an exact characterization…

Computational Geometry · Computer Science 2017-01-23 David Kirkpatrick , Paul Liu

Recent efforts in the development of autonomous driving technology have induced great advancements in perception, planning and control systems. Model predictive control is one of the most popular advanced control methods, but its…

Systems and Control · Electrical Eng. & Systems 2024-10-17 Matheus Wagner , Julio E. Normey-Rico

This paper presents a method for robot self-recognition and self-adaptation through the analysis of the contact between the robot end effector and its surrounding environment. Often, in off-line robot programming, the idealized robotic…

Robotics · Computer Science 2013-09-10 Nuno Mendes , Pedro Neto , J. Norberto Pires , Altino Loureiro

We consider a system consisting of multiple mobile robots in which the user can at any time issue relocation tasks ordering one of the robots to move from its current location to a given destination location. In this paper, we deal with the…

Robotics · Computer Science 2015-02-02 Michal Čáp , Jiří Vokřínek , Alexander Kleiner

This paper presents a method for optimal motion planning of continuum robots by employing Bernstein surfaces to approximate the system's dynamics and impose complex constraints, including collision avoidance. The main contribution is the…

Robotics · Computer Science 2023-12-20 Maxwell Hammond , Venanzio Cichella , Amirreza F. Golestaneh , Caterina Lamuta

Direct collocation methods are powerful tools to solve trajectory optimization problems in robotics. While their resulting trajectories tend to be dynamically accurate, they may also present large kinematic errors in the case of constrained…

Robotics · Computer Science 2023-04-26 Ricard Bordalba , Tobias Schoels , Lluís Ros , Josep M. Porta , Moritz Diehl

Methods for centralized planning of the collision-free trajectories for a fleet of mobile robots typically solve the discretized version of the problem and rely on numerous simplifying assumptions, e.g. moves of uniform duration, cardinal…

Robotics · Computer Science 2020-08-10 Konstantin Yakovlev , Anton Andreychuk , Vitaly Vorobyev

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

Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part of subsequent analysis. Feedback…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Ashutosh Jindal , Ravi Banavar , David Martin Diego

We consider the problem of finding an optimal 3D road trajectory between two points on a terrain with variable elevation. Unlike common heuristic pathfinding methods, we propose a rigorous framework based on the calculus of variations,…

Optimization and Control · Mathematics 2026-05-05 Majid E. Abbasov , Anna A. Gorbunova

For many tasks, predictive path-following control can significantly improve the performance and robustness of autonomous robots over traditional trajectory tracking control. It does this by prioritizing closeness to the path over timed…

Robotics · Computer Science 2017-11-03 Melissa Greeff , Angela P. Schoellig
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