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We consider planning problems, that often arise in autonomous driving applications, in which an agent should decide on immediate actions so as to optimize a long term objective. For example, when a car tries to merge in a roundabout it…

Machine Learning · Computer Science 2016-02-05 Shai Shalev-Shwartz , Nir Ben-Zrihem , Aviad Cohen , Amnon Shashua

Motion planning for merging scenarios accounting for measurement and prediction uncertainties is a major challenge on the way to autonomous driving. Classical methods subdivide the motion planning into behavior and trajectory planning, thus…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Johannes Müller , Michael Buchholz

For motion planning and control of autonomous vehicles to be proactive and safe, pedestrians' and other road users' motions must be considered. In this paper, we present a vehicle motion planning and control framework, based on Model…

Systems and Control · Computer Science 2019-03-20 Ivo Batkovic , Mario Zanon , Mohammad Ali , Paolo Falcone

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

In normal on-road situations, autonomous vehicles will be expected to have smooth trajectories with relatively little demand on the vehicle dynamics to ensure passenger comfort and driving safety. However, the occurrence of unexpected…

Systems and Control · Computer Science 2017-06-26 Florent Altché , Philip Polack , Arnaud de La Fortelle

While motion planning techniques for automated vehicles in a reactive and anticipatory manner are already widely presented, approaches to cooperative motion planning are still remaining. In this paper, we present an approach to enhance…

Robotics · Computer Science 2017-08-24 Maximilian Naumann , Christoph Stiller

In this paper, we present a motion planning framework for multi-modal vehicle dynamics. Our proposed algorithm employs transcription of the optimization objective function, vehicle dynamics, and state and control constraints into sparse…

Robotics · Computer Science 2021-07-07 L. Lao Beyer , N. Balabanska , E. Tal , S. Karaman

One of the fundamental tasks of autonomous driving is safe trajectory planning, the task of deciding where the vehicle needs to drive, while avoiding obstacles, obeying safety rules, and respecting the fundamental limits of road. Real-world…

Robotics · Computer Science 2025-03-26 Milin Patel , Marzana Khatun , Rolf Jung , Michael Glaß

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

Operation in a real world traffic requires autonomous vehicles to be able to plan their motion in complex environments (multiple moving participants). Planning through such environment requires the right search space to be provided for the…

Robotics · Computer Science 2019-05-22 Jasprit Singh Gill , Pierluigi Pisu , Venkat N. Krovi , Matthias J. Schmid

Safety-guaranteed motion planning is critical for self-driving cars to generate collision-free trajectories. A layered motion planning approach with decoupled path and speed planning is widely used for this purpose. This approach is prone…

Robotics · Computer Science 2022-10-03 Srujan Deolasee , Qin Lin , Jialun Li , John M. Dolan

One of the critical challenges in automated driving is ensuring safety of automated vehicles despite the unknown behavior of the other vehicles. Although motion prediction modules are able to generate a probability distribution associated…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Luyao Zhang , George Pantazis , Shaohang Han , Sergio Grammatico

Essential tasks in autonomous driving includes environment perception, detection and tracking, path planning and action control. This paper focus on path planning, which is one of the challenging task as it needs to find optimal path in…

Robotics · Computer Science 2024-02-20 Sugirtha T , Pranav S , Nitin Benjamin Dasiah , Sridevi M

This paper considers the problem of computing an optimal trajectory for an autonomous system that is subject to a set of potentially conflicting rules. First, we introduce the concept of prioritized safety specifications, where each rule is…

Robotics · Computer Science 2020-09-28 Tichakorn Wongpiromsarn , Konstantin Slutsky , Emilio Frazzoli , Ufuk Topcu

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

Trajectory planning in automated driving typically focuses on satisfying safety and comfort requirements within the vehicle's onboard sensor range. This paper introduces a method that leverages anticipatory road data, such as speed limits,…

Systems and Control · Electrical Eng. & Systems 2024-06-26 Andres Alvarez Prado , Vladislav Nenchev , Christian Rathgeber

It is a significant requirement for a quadrotor trajectory planner to simultaneously guarantee trajectory quality and system lightweight. Many researchers focus on this problem, but there's still a gap between their performance and our…

Robotics · Computer Science 2025-02-25 Jialiang Hou , Neng Pan , Zhepei Wang , Jialin Ji , Yuxiang Guan , Zhongxue Gan , Fei Gao

This paper considers a trajectory planning problem for a robot navigating complex terrains, which arises in applications ranging from autonomous mining vehicles to planetary rovers. The problem seeks to find a low-cost dynamically feasible…

Robotics · Computer Science 2024-07-04 Yilin Cai , Zhongqiang Ren

Path planning is one of the most vital elements of mobile robotics. With a priori knowledge of the environment, global path planning provides a collision-free route through the workspace. The global path plan can be calculated with a…

Artificial Intelligence · Computer Science 2015-05-25 Alexander Lavin

Trajectory optimization in multi-vehicle scenarios faces challenges due to its non-linear, non-convex properties and sensitivity to initial values, making interactions between vehicles difficult to control. In this paper, inspired by…

Robotics · Computer Science 2025-03-10 Changjia Ma , Yi Zhao , Zhongxue Gan , Bingzhao Gao , Wenchao Ding