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We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

Robotics · Computer Science 2015-12-08 Jingjin Yu

Efficiently planning an Unmanned Aerial Vehicle (UAV) path is crucial, especially in dynamic settings where potential threats are prevalent. A Dynamic Path Planner (DPP) for UAV using the Spherical Vector-based Particle Swarm Optimisation…

Neural and Evolutionary Computing · Computer Science 2024-03-20 Mohssen E. Elshaar , Mohammed R. Elbalshy , A. Hussien , Mohammed Abido

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…

We present a novel motion generation approach for robot arms, with high degrees of freedom, in complex settings that can adapt online to obstacles or new via points. Learning from Demonstration facilitates rapid adaptation to new tasks and…

A time-optimal problem for redundantly actuated robots moving on a specified path is a challenging problem. Although the problem is well explored and there are proposed solutions based on phase plane analysis, there are still several…

Optimization and Control · Mathematics 2018-08-03 Saeed Mansouri , Mohammad Jafar Sadigh , Masoud Fazeli

Multi-robot navigation and path planning in continuous state and action spaces with uncertain environments remains an open challenge. Deep Reinforcement Learning (RL) is one of the most popular paradigms for solving this task, but its…

Robotics · Computer Science 2025-08-21 Jahid Chowdhury Choton , John Woods , William Hsu

Reinforcement learning (RL) has been successfully applied to solve the problem of finding obstacle-free paths for autonomous agents operating in stochastic and uncertain environments. However, when the underlying stochastic dynamics of the…

Machine Learning · Computer Science 2024-10-29 Sheryl Paul , Jyotirmoy V. Deshmukh

Efficient planning in dynamic and uncertain environments is a fundamental challenge in robotics. In the context of trajectory optimization, the feasibility of paths can change as the environment evolves. Therefore, it can be beneficial to…

Robotics · Computer Science 2019-08-05 Keshav Kolur , Sahit Chintalapudi , Byron Boots , Mustafa Mukadam

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

Robot navigation using deep reinforcement learning (DRL) has shown great potential in improving the performance of mobile robots. Nevertheless, most existing DRL-based navigation methods primarily focus on training a policy that directly…

Robotics · Computer Science 2023-10-23 Wenhao Yu , Jie Peng , Quecheng Qiu , Hanyu Wang , Lu Zhang , Jianmin Ji

The problem of path generation for the spherical 4R mechanism is solved using the Differential Evolution algorithm (DE). Formulas for the spherical geodesics are employed in order to obtain the parametric equation for the generated…

Computational Engineering, Finance, and Science · Computer Science 2012-09-06 F. Penunuri , R. Peon-Escalante , C. Villanueva , Carlos A. Cruz-Villar

Motion planning is a key tool that allows robots to navigate through an environment without collisions. The problem of robot motion planning has been studied in great detail over the last several decades, with researchers initially focusing…

Robotics · Computer Science 2018-07-20 Luka Petrović

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

Many exciting robotic applications require multiple robots with many degrees of freedom, such as manipulators, to coordinate their motion in a shared workspace. Discovering high-quality paths in such scenarios can be achieved, in principle,…

Robotics · Computer Science 2019-03-05 Rahul Shome , Kiril Solovey , Andrew Dobson , Dan Halperin , Kostas E. Bekris

Differential Dynamic Programming (DDP) is an efficient trajectory optimization algorithm relying on second-order approximations of a system's dynamics and cost function, and has recently been applied to optimize systems with time-invariant…

Optimization and Control · Mathematics 2022-04-11 Alex Oshin , Matthew D. Houghton , Michael J. Acheson , Irene M. Gregory , Evangelos A. Theodorou

This research presents an online path planner for Unmanned Aerial Vehicles (UAVs) that can handle dynamic obstacles and UAV motion constraints, including maximum curvature and desired orientations. Our proposed planner uses a NURBS path…

Continuum robots, characterized by their high flexibility and infinite degrees of freedom (DoFs), have gained prominence in applications such as minimally invasive surgery and hazardous environment exploration. However, the intrinsic…

Robotics · Computer Science 2023-09-26 Peiyu Luo , Shilong Yao , Yiyao Yue , Jiankun Wang , Hong Yan , Max Q. -H. Meng

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 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

Motion Planning is necessary for robots to complete different tasks. Rapidly-exploring Random Tree (RRT) and its variants have been widely used in robot motion planning due to their fast search in state space. However, they perform not well…

Robotics · Computer Science 2022-05-19 Zhirui Sun , Jiankun Wang , Max Q. -H. Meng
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