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This article introduces a formation shape control algorithm, in the optimal control framework, for steering an initial population of agents to a desired configuration via employing the Gromov-Wasserstein distance. The underlying dynamical…

Optimization and Control · Mathematics 2025-03-28 Haruto Nakashima , Siddhartha Ganguly , Kohei Morimoto , Kenji Kashima

This study proposes an event-based reconfiguration control to navigate a robot swarm through challenging environments with narrow passages such as valleys, tunnels, and corridors. The robot swarm is modeled as an undirected graph, where…

Robotics · Computer Science 2025-05-23 Duy-Nam Bui , Manh Duong Phung , Hung Pham Duy

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

Optimization and Control · Mathematics 2015-08-20 Xinmiao Sun , Christos G. Cassandras

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

Soft robotics is a rapidly growing area of robotics research that would benefit greatly from design automation, given the challenges of manually engineering complex, compliant, and generally non-intuitive robot body plans and behaviors. It…

Robotics · Computer Science 2023-06-19 Alican Mertan , Nick Cheney

In many robotics applications, multiple robots are working in a shared workspace to complete a set of tasks as fast as possible. Such settings can be treated as multi-modal multi-robot multi-goal path planning problems, where each robot has…

Robotics · Computer Science 2026-04-20 Valentin N. Hartmann , Tirza Heinle , Yijiang Huang , Stelian Coros

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

We focus on the task of object manipulation to an arbitrary goal pose, in which a robot is supposed to pick an assigned object to place at the goal position with a specific orientation. However, limited by the execution space of the…

Robotics · Computer Science 2022-03-01 Kechun Xu , Hongxiang Yu , Renlang Huang , Dashun Guo , Yue Wang , Rong Xiong

Multi-robot decision-making is the process where multiple robots coordinate actions. In this paper, we aim for efficient and effective multi-robot decision-making despite the robots' limited on-board resources and the often…

Optimization and Control · Mathematics 2026-02-24 Zirui Xu , Vasileios Tzoumas

Existing motion planning methods often have two drawbacks: 1) goal configurations need to be specified by a user, and 2) only a single solution is generated under a given condition. In practice, multiple possible goal configurations exist…

Robotics · Computer Science 2020-09-24 Takayuki Osa

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

This paper develops a path planner that minimizes risk (e.g. motion execution) while maximizing accumulated reward (e.g., quality of sensor viewpoint) motivated by visual assistance or tracking scenarios in unstructured or confined…

Robotics · Computer Science 2019-03-11 Xuesu Xiao , Jan Dufek , Robin Murphy

We consider the problem of completing a set of $n$ tasks with a human-robot team using minimum effort. In many domains, teaching a robot to be fully autonomous can be counterproductive if there are finitely many tasks to be done. Rather,…

Robotics · Computer Science 2022-07-08 Shivam Vats , Oliver Kroemer , Maxim Likhachev

We address the problem of motion planning for a robotic manipulator with the task to place a grasped object in a cluttered environment. In this task, we need to locate a collision-free pose for the object that a) facilitates the stable…

Robotics · Computer Science 2019-07-08 Joshua A. Haustein , Kaiyu Hang , Johannes Stork , Danica Kragic

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

In the pattern formation problem, robots in a system must self-coordinate to form a given pattern, regardless of translation, rotation, uniform-scaling, and/or reflection. In other words, a valid final configuration of the system is a…

Computational Geometry · Computer Science 2020-06-30 Jared Coleman , Evangelos Kranakis , Oscar Morales-Ponce , Jaroslav Opatrny , Jorge Urrutia , Birgit Vogtenhuber

In this paper, we look into the minimum obstacle displacement (MOD) planning problem from a mobile robot motion planning perspective. This problem finds an optimal path to goal by displacing movable obstacles when no path exists due to…

Robotics · Computer Science 2023-02-15 Antony Thomas , Giulio Ferro , Fulvio Mastrogiovanni , Michela Robba

Robot motion planning involves computing a sequence of valid robot configurations that take the robot from its initial state to a goal state. Solving a motion planning problem optimally using analytical methods is proven to be PSPACE-Hard.…

Robotics · Computer Science 2021-07-26 Naman Shah , Abhyudaya Srinet , Siddharth Srivastava

Research, innovation and practical capital investment have been increasing rapidly toward the realization of autonomous physical agents. This includes industrial and service robots, unmanned aerial vehicles, embedded control devices, and a…