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We study the problem of quickly computing point-to-point shortest paths in massive road networks with traffic predictions. Incorporating traffic predictions into routing allows, for example, to avoid commuter traffic congestions. Existing…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Dorothea Wagner , Tim Zeitz

In this paper, a novel real-time acceleration-continuous path-constrained trajectory planning algorithm is proposed with an appealing built-in tradability mechanism between cruise motion and time-optimal motion. Different from existing…

Robotics · Computer Science 2018-12-11 Peiyao Shen , Xuebo Zhang , Yongchun Fang

The trajectory planning problem (TPP) has become increasingly crucial in the research of next-generation transportation systems, but it presents challenges due to the non-linearity of its constraints. One specific case within TPP, namely…

Optimization and Control · Mathematics 2025-02-24 Yuanzheng Lei , Yao Cheng , Xianfeng Terry Yang

We consider the problem of grasping in clutter. While there have been motion planners developed to address this problem in recent years, these planners are mostly tailored for open-loop execution. Open-loop execution in this domain,…

Robotics · Computer Science 2018-10-10 Wisdom C. Agboh , Mehmet R. Dogar

Catching high-speed targets in the flight is a complex and typical highly dynamic task. In this paper, we propose Catch Planner, a planning-with-decision scheme for catching. For sequential decision making, we propose a policy search method…

Robotics · Computer Science 2023-06-27 Huan Yu , Pengqin Wang , Jin Wang , Jialin Ji , Zhi Zheng , Jie Tu , Guodong Lu , Jun Meng , Meixin Zhu , Shaojie Shen , Fei Gao

Trajectory planning for mobile robots in cluttered environments remains a major challenge due to narrow passages, where conventional methods often fail or generate suboptimal paths. To address this issue, we propose the adaptive trajectory…

Robotics · Computer Science 2025-10-31 Hahjin Lee , Young J. Kim

Motion planning is an extremely well-studied problem in the robotics community, yet existing work largely falls into one of two categories: computationally efficient but with few if any safety guarantees, or able to give stronger guarantees…

Systems and Control · Computer Science 2018-03-08 David Fridovich-Keil , Sylvia L. Herbert , Jaime F. Fisac , Sampada Deglurkar , Claire J. Tomlin

Automated driving in urban scenarios requires efficient planning algorithms able to handle complex situations in real-time. A popular approach is to use graph-based planning methods in order to obtain a rough trajectory which is…

Robotics · Computer Science 2021-02-17 Oliver Speidel , Jona Ruof , Klaus Dietmayer

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

The main contribution of this paper is a novel method for planning globally optimal trajectories for dynamical systems subject to polygonal constraints. The proposed method is a hybrid trajectory planning approach, which combines graph…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros

Motion planning is still an open problem for many disciplines, e.g., robotics, autonomous driving, due to their need for high computational resources that hinder real-time, efficient decision-making. A class of methods striving to provide…

Robotics · Computer Science 2023-10-31 An T. Le , Georgia Chalvatzaki , Armin Biess , Jan Peters

In dense and dynamic scenarios, planning a safe and comfortable trajectory is full of challenges when traffic participants are driving at high speed. The classic graph search and sampling methods first perform path planning and then…

Robotics · Computer Science 2021-03-22 Xiaoyu Yang , Huiyun Li

Collision-free navigation in cluttered environments with static and dynamic obstacles is essential for many multi-robot tasks. Dynamic obstacles may also be interactive, i.e., their behavior varies based on the behavior of other entities.…

Robotics · Computer Science 2024-05-21 Baskın Şenbaşlar , Gaurav S. Sukhatme

Diffusion-based generative models are emerging as powerful tools for long-horizon planning in reinforcement learning (RL), particularly with offline datasets. However, their performance is fundamentally limited by the quality and diversity…

Machine Learning · Computer Science 2025-10-14 Kyowoon Lee , Jaesik Choi

We consider the problem of designing a smooth trajectory that traverses a sequence of convex sets in minimum time, while satisfying given velocity and acceleration constraints. This problem is naturally formulated as a nonconvex program. To…

Robotics · Computer Science 2025-04-29 Tobia Marcucci , Mathew Halm , Will Yang , Dongchan Lee , Andrew D. Marchese

We propose a novel method for planning shortest length piecewise-linear motions through complex environments punctured with static, moving, or even morphing obstacles. Using a moment optimization approach, we formulate a hierarchy of…

Robotics · Computer Science 2020-10-19 Bachir El Khadir , Jean Bernard Lasserre , Vikas Sindhwani

Planning high-speed trajectories for UAVs in unknown environments requires algorithmic techniques that enable fast reaction times to guarantee safety as more information about the environment becomes available. The standard approaches that…

Robotics · Computer Science 2021-09-01 Jesus Tordesillas , Brett T. Lopez , Michael Everett , Jonathan P. How

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

The contribution of this paper is the application of compound state-triggered constraints (STCs) to real-time quad-rotor path planning. Originally developed for rocket landing applications, STCs are made up of a trigger condition and a…

Optimization and Control · Mathematics 2019-02-26 Michael Szmuk , Danylo Malyuta , Taylor P. Reynolds , Margaret Skye Mceowen , Behcet Acikmese

The driving risk field is applicable to more complex driving scenarios, providing new approaches for safety decision-making and active vehicle control in intricate environments. However, existing research often overlooks the driving risk…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Wenjie Huang , Yang Li , Shijie Yuan , Jingjia Teng , Hongmao Qin , Yougang Bian