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Basis splines enable a time-continuous feasibility check with a finite number of constraints. Constraints apply to the whole trajectory for motion planning applications that require a collision-free and dynamically feasible trajectory.…

Robotics · Computer Science 2023-10-06 Philip Dorpmüller , Thomas Schmitz , Naveen Bejagam , Torsten Bertram

This paper investigates the cooperative planning and control problem for multiple connected autonomous vehicles (CAVs) in different scenarios. In the existing literature, most of the methods suffer from significant problems in computational…

Multiagent Systems · Computer Science 2021-01-05 Xiaoxue Zhang , Zilong Cheng , Jun Ma , Sunan Huang , Frank L. Lewis , Tong Heng Lee

We propose a generic multi-robot planning mechanism that combines an optimal task planner and an optimal path planner to provide a scalable solution for complex multi-robot planning problems. The Integrated planner, through the interaction…

Robotics · Computer Science 2024-03-05 Aman Aryan , Manan Modi , Indranil Saha , Rupak Majumdar , Swarup Mohalik

The goal of this paper is to develop a continuous optimization-based refinement of the reference trajectory to 'push it out' of the obstacle-occupied space in the global phase for Multi-rotor Aerial Vehicles in unknown environments. Our…

Robotics · Computer Science 2022-02-15 Geesara Kulathunga , Hany Hamed , Dmitry Devitt , Alexandr Klimchik

In this paper, we introduce a hierarchical decision-making framework for emerging mobility systems. Despite numerous studies focusing on optimizing vehicle flow, practical feasibility has often been overlooked. To address this gap, we…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Heeseung Bang , Andreas A. Malikopoulos

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

To improve safety and energy efficiency, autonomous vehicles are expected to drive smoothly in most situations, while maintaining their velocity below a predetermined speed limit. However, some scenarios such as low road adherence or…

Systems and Control · Computer Science 2017-04-05 Florent Altché , Philip Polack , Arnaud de la Fortelle

This paper addresses path planning of an unmanned aerial vehicle (UAV) with remote sensing capabilities (or wireless communication capabilities). The goal of the path planning is to find a minimum-flight-time closed tour of the UAV visiting…

Robotics · Computer Science 2016-12-20 Dae-Sung Jang , Hyeok-Joo Chae , Han-Lim Choi

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

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

In this work we consider the multi-agent motion planning (MAMP) problem with the constraint that agents arrive at their respective goals at the same time. For the special case where all agents are initially at rest we propose a two-step…

Optimization and Control · Mathematics 2026-05-05 Anja Hellander , Daniel Axehill

Planning and control for autonomous vehicles usually are hierarchical separated. However, increasing performance demands and operating in highly dynamic environments requires an frequent re-evaluation of the planning and tight integration…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Markus Koegel , Mohamed Ibrahim , Christian Kallies , Rolf Findeisen

Optimal sampling based motion planning and trajectory optimization are two competing frameworks to generate optimal motion plans. Both frameworks have complementary properties: Sampling based planners are typically slow to converge, but…

Robotics · Computer Science 2022-09-19 Jay Kamat , Joaquim Ortiz-Haro , Marc Toussaint , Florian T. Pokorny , Andreas Orthey

Velocity Planning for self-driving vehicles in a complex environment is one of the most challenging tasks. It must satisfy the following three requirements: safety with regards to collisions; respect of the maximum velocity limits defined…

Robotics · Computer Science 2022-02-22 Yutaka Shimizu , Takamasa Horibe , Fumiya Watanabe , Shinpei Kato

Replanning in temporal logic tasks is extremely difficult during the online execution of robots. This study introduces an effective path planner that computes solutions for temporal logic goals and instantly adapts to non-static and…

Robotics · Computer Science 2023-02-23 Yizhou Chen , Ruoyu Wang , Xinyi Wang , Ben M. Chen

This paper proposes a path planning algorithm for autonomous vehicles, evaluating collision severity with respect to both static and dynamic obstacles. A collision severity map is generated from ratings, quantifying the severity of…

Robotics · Computer Science 2024-08-30 Qiannan Wang , Matthias Gerdts

Trajectory planning for connected and automated vehicles (CAVs) has the potential to improve operational efficiency and vehicle fuel economy in traffic systems. Despite abundant studies in this research area, most of them only consider…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Chengyuan Ma , Chunhui Yu , Xiaogunag Yang

The problem of autonomous racing is to navigate through a race course as quickly as possible while not colliding with any obstacles. We approach the autonomous racing problem with the added constraint of not maintaining an updated obstacle…

Robotics · Computer Science 2024-10-28 Benjamin Evans , Hendrik W. Jordaan , Herman A. Engelbrecht

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel