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This paper proposes a rapidly-exploring random trees (RRT) algorithm to solve the motion planning problem for hybrid systems. At each iteration, the proposed algorithm, called HyRRT, randomly picks a state sample and extends the search tree…

Robotics · Computer Science 2022-10-28 Nan Wang , Ricardo G. Sanfelice

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

Optimization and Control · Mathematics 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

Unstructured environments such as mountains, caves, construction sites, or disaster areas are challenging for autonomous navigation because of terrain irregularities. In particular, it is crucial to plan a path to avoid risky terrain and…

Robotics · Computer Science 2025-01-06 Dongkyu Lee , I Made Aswin Nahrendra , Minho Oh , Byeongho Yu , Hyun Myung

A new path planning method for Mobile Robots (MR) has been developed and implemented. On the one hand, based on the shortest path from the start point to the goal point, this path planner can choose the best moving directions of the MR,…

Robotics · Computer Science 2016-09-08 Hoc Thai Nguyen , Hai Xuan Le

Rapidly-exploring random tree (RRT) has been applied for autonomous parking due to quickly solving high-dimensional motion planning and easily reflecting constraints. However, planning time increases by the low probability of extending…

Robotics · Computer Science 2022-01-20 Minsoo Kim , Joonwoo Ahn , Jaeheung Park

We propose a method for learning constraints represented as Gaussian processes (GPs) from locally-optimal demonstrations. Our approach uses the Karush-Kuhn-Tucker (KKT) optimality conditions to determine where on the demonstrations the…

Robotics · Computer Science 2022-03-02 Glen Chou , Hao Wang , Dmitry Berenson

We consider a path-planning scenario for a mobile robot traveling in a configuration space with obstacles under the presence of stochastic disturbances. A novel path length metric is proposed on the uncertain configuration space and then…

Robotics · Computer Science 2020-03-02 Jeb Stefan , Ali Reza Pedram , Riku Funada , Takashi Tanaka

Autonomous navigation of ground robots has been widely used in indoor structured 2D environments, but there are still many challenges in outdoor 3D unstructured environments, especially in rough, uneven terrains. This paper proposed a…

Robotics · Computer Science 2022-09-28 Zhuozhu Jian , Zihong Lu , Xiao Zhou , Bin Lan , Anxing Xiao , Xueqian Wang , Bin Liang

The realization of Urban Air Mobility (UAM) necessitates scalable global path planning algorithms capable of ensuring safe navigation within complex urban environments. This paper proposes a multi-scale risk-aware cell decomposition method…

Robotics · Computer Science 2026-04-21 Josue N. Rivera , Dengfeng Sun , Chen Lv

Path planning in high-dimensional spaces poses significant challenges, particularly in achieving both time efficiency and a fair success rate. To address these issues, we introduce a novel path-planning algorithm, Zonal RL-RRT, that…

Robotics · Computer Science 2024-11-01 AmirMohammad Tahmasbi , MohammadSaleh Faghfoorian , Saeed Khodaygan , Aniket Bera

Motion planning under differential constraints, kinodynamic motion planning, is one of the canonical problems in robotics. Currently, state-of-the-art methods evolve around kinodynamic variants of popular sampling-based algorithms, such as…

Robotics · Computer Science 2016-01-26 Oktay Arslan , Karl Berntorp , Panagiotis Tsiotras

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

Motion planning is a fundamental problem and focuses on finding control inputs that enable a robot to reach a goal region while safely avoiding obstacles. However, in many situations, the state of the system may not be known but only…

Robotics · Computer Science 2021-08-30 Lars Lindemann , Matthew Cleaveland , Yiannis Kantaros , George J. Pappas

We investigate the autonomous navigation of a mobile robot in the presence of other moving vehicles under time-varying uncertain environmental disturbances. We first predict the future state distributions of other vehicles to account for…

Robotics · Computer Science 2020-09-09 Junhong Xu , Kai Yin , Lantao Liu

Trajectory planning tasks for non-holonomic or collaborative systems are naturally modeled by state spaces with non-Euclidean metrics. However, existing proofs of convergence for sample-based motion planners only consider the setting of…

Robotics · Computer Science 2023-06-29 Anton Lukyanenko , Damoon Soudbakhsh

Dealing with meteorological uncertainty poses a major challenge in air traffic management (ATM). Convective weather (commonly referred to as storms or thunderstorms) in particular represents a significant safety hazard that is responsible…

Optimization and Control · Mathematics 2018-06-08 Daniel Hentzen , Maryam Kamgarpour , Manuel Soler , Daniel González-Arribas

This paper introduces an optimization problem (P) and a solution strategy to design variable-speed-limit controls for a highway that is subject to traffic congestion and uncertain vehicle arrival and departure. By employing a finite…

Optimization and Control · Mathematics 2020-09-08 Dan Li , Dariush Fooladivanda , Sonia Martinez

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

Robust planning in interactive scenarios requires predicting the uncertain future to make risk-aware decisions. Unfortunately, due to long-tail safety-critical events, the risk is often under-estimated by finite-sampling approximations of…

Machine Learning · Computer Science 2023-01-13 Haruki Nishimura , Jean Mercat , Blake Wulfe , Rowan McAllister , Adrien Gaidon

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen