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Motion planning in uncertain environments like complex urban areas is a key challenge for autonomous vehicles (AVs). The aim of our research is to investigate how AVs can navigate crowded, unpredictable scenarios with multiple pedestrians…

Robotics · Computer Science 2026-02-02 Korbinian Moller , Truls Nyberg , Jana Tumova , Johannes Betz

Self-driving vehicles are a maturing technology with the potential to reshape mobility by enhancing the safety, accessibility, efficiency, and convenience of automotive transportation. Safety-critical tasks that must be executed by a…

Robotics · Computer Science 2016-04-27 Brian Paden , Michal Cap , Sze Zheng Yong , Dmitry Yershov , Emilio Frazzoli

The rising demand for Active Safety systems in automotive applications stresses the need for a reliable short to mid-term trajectory prediction. Anticipating the unfolding path of road users, one can act to increase the overall safety. In…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Ido Freeman , Kun Zhao , Anton Kummert

We address the motion planning problem for large multi-agent systems, utilizing Cosserat rod theory to model the dynamic behavior of vehicle formations. The problem is formulated as an optimal control problem over partial differential…

Optimization and Control · Mathematics 2024-06-13 Amirreza Fahim Golestaneh , Maxwell Hammond , Venanzio Cichella

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

Bernstein polynomial approximation to a continuous function has a slower rate of convergence as compared to other approximation methods. "The fact seems to have precluded any numerical application of Bernstein polynomials from having been…

Optimization and Control · Mathematics 2018-12-18 Venanzio Cichella , Isaac Kaminer , Claire Walton , Naira Hovakimyan , Antonio Pascoal

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

Motion prediction of road users in traffic scenes is critical for autonomous driving systems that must take safe and robust decisions in complex dynamic environments. We present a novel motion prediction system for autonomous driving. Our…

Robotics · Computer Science 2022-08-16 Morris Antonello , Mihai Dobre , Stefano V. Albrecht , John Redford , Subramanian Ramamoorthy

Reliable localization is crucial for autonomous robots to navigate efficiently and safely. Some navigation methods can plan paths with high localizability (which describes the capability of acquiring reliable localization). By following…

Robotics · Computer Science 2023-03-23 Yuan Chen , Quecheng Qiu , Xiangyu Liu , Guangda Chen , Shunyi Yao , Jie Peng , Jianmin Ji , Yanyong Zhang

Recent advancements in self-driving car technologies have enabled them to navigate autonomously through various environments. However, one of the critical challenges in autonomous vehicle operation is trajectory planning, especially in…

This study deals with the problem of task and motion planning of autonomous systems within the context of high-level tasks. Specifically, a task comprises logical requirements (conjunctions, disjunctions, and negations) on the trajectories…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zhou He , Shilong Yuan , Ning Ran , Dimitri Lefebvre

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

Autonomous ground vehicle systems have found extensive potential and practical applications in the modern world. The development of an autonomous ground vehicle poses a significant challenge, particularly in identifying the best path plan,…

Robotics · Computer Science 2023-10-24 Aziz ur Rehman , Ahsan Tanveer , M. Touseef Ashraf , Umer Khan

We address optimal placement of vehicles with simple motion to intercept a mobile target that arrives stochastically on a line segment. The optimality of vehicle placement is measured through a cost function associated with intercepting the…

Dynamical Systems · Mathematics 2011-03-07 Shaunak D. Bopardikar , Stephen L. Smith , Francesco Bullo

Algorithms for motion planning in unknown environments are generally limited in their ability to reason about the structure of the unobserved environment. As such, current methods generally navigate unknown environments by relying on…

Robotics · Computer Science 2019-10-21 Amine Elhafsi , Boris Ivanovic , Lucas Janson , Marco Pavone

Quantifying and encoding occupants' preferences as an objective function for the tactical decision making of autonomous vehicles is a challenging task. This paper presents a low-complexity approach for lane-change initiation and planning to…

Robotics · Computer Science 2020-07-30 Salar Arbabi , Shilp Dixit , Ziyao Zheng , David Oxtoby , Alexandros Mouzakitis , Saber Fallah

Diffusion-based motion planners are becoming popular due to their well-established performance improvements, stemming from sample diversity and the ease of incorporating new constraints directly during inference. However, a primary…

This paper presents a framework for fast and robust motion planning designed to facilitate automated driving. The framework allows for real-time computation even for horizons of several hundred meters and thus enabling automated driving in…

Robotics · Computer Science 2019-02-26 Zlatan Ajanovic , Bakir Lacevic , Barys Shyrokau , Michael Stolz , Martin Horn

Real world experiments are expensive, and thus it is important to reach a target in minimum number of experiments. Experimental processes often involve control variables that changes over time. Such problems can be formulated as a…

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