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This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

Mobile robots in dynamic environments require fast planning, especially when onboard computational resources are limited. While classic potential field based algorithms may suffice in simple scenarios, in most cases algorithms able to…

Robotics · Computer Science 2023-12-06 Fabio DallaLibera , Shinya Abe , Takeshi Ando

Collision detection between objects is critical for simulation, control, and learning for robotic systems. However, existing collision detection routines are inherently non-differentiable, limiting their applications in gradient-based…

Robotics · Computer Science 2023-05-19 Kevin Tracy , Taylor A. Howell , Zachary Manchester

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

Robotics · Computer Science 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

This paper contributes a method to design a novel navigation planner exploiting a learning-based collision prediction network. The neural network is tasked to predict the collision cost of each action sequence in a predefined motion…

Robotics · Computer Science 2022-05-10 Huan Nguyen , Sondre Holm Fyhn , Paolo De Petris , Kostas Alexis

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

We address the problem of adapting robot trajectories to improve safety, comfort, and efficiency in human-robot collaborative tasks. To this end, we propose CoMOTO, a trajectory optimization framework that utilizes stochastic motion…

Learning-based motion planning can quickly generate near-optimal trajectories. However, it often requires either large training datasets or costly collection of human demonstrations. This work proposes an alternative approach that quickly…

Robotics · Computer Science 2025-10-13 Dominik Urbaniak , Alejandro Agostini , Pol Ramon , Jan Rosell , Raúl Suárez , Michael Suppa

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

Lattice-based planning techniques simplify the motion planning problem for autonomous vehicles by limiting available motions to a pre-computed set of primitives. These primitives are then combined online to generate more complex maneuvers.…

Robotics · Computer Science 2023-07-19 Alexander Botros , Stephen L. Smith

We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

Robotics · Computer Science 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

In this paper, we focus on generating complex robotic trajectories by merging sequential motion primitives. A robotic trajectory is a time series of positions and orientations ending at a desired target. Hence, we first discuss the…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Felix Franzel , Dongheui Lee

This paper proposes a new set of conditions for exactly representing collision avoidance constraints within optimization-based motion planning algorithms. The conditions are continuously differentiable and therefore suitable for use with…

Robotics · Computer Science 2023-02-21 James Guthrie

Real-time computation of optimal control is a challenging problem and, to solve this difficulty, many frameworks proposed to use learning techniques to learn (possibly sub-optimal) controllers and enable their usage in an online fashion.…

Trajectory planning for autonomous cars can be addressed by primitive-based methods, which encode nonlinear dynamical system behavior into automata. In this paper, we focus on optimal trajectory planning. Since, typically, multiple criteria…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Matheus V. A. Pedrosa , Patrick Scheffe , Bassam Alrifaee , Kathrin Flaßkamp

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

The collision avoidance constraints are prominent as non-convex, non-differentiable, and challenging when defined in optimization-based motion planning problems. To overcome these issues, this paper presents a novel non-conservative…

Robotics · Computer Science 2024-04-16 Siavash Tavana , Sepideh Faghihi , Anton de Ruiter , Krishna Dev Kumar

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

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

With advancements in technology, commercial aircraft formation flying is becoming increasingly feasible as an efficient and environmentally friendly flight method. However, gaps remain in practical implementation, particularly in collision…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Songqiying Yang , Ania Adil , Eric Feron
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