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This paper considers theoretical solutions for path planning problems under non-probabilistic uncertainty used in the travel salesman problems under uncertainty. The uncertainty is on the paths between the cities as nodes in a travelling…

Optimization and Control · Mathematics 2022-12-06 Keivan Shariatmadar

Safe motion planning in uncertain, time-varying environments is challenging because the safe region can change unpredictably across planning steps, often causing a loss of recursive feasibility. In this work, we present a Probabilistic…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Hyeontae Sung , Hyeongchan Ham , Junyoung Park , Kai Ren , Heejin Ahn

Trajectory and intention prediction of traffic participants is an important task in automated driving and crucial for safe interaction with the environment. In this paper, we present a new approach to vehicle trajectory prediction based on…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Jannik Quehl , Haohao Hu , Sascha Wirges , Martin Lauer

When deploying autonomous systems in unknown and changing environments, it is critical that their motion planning and control algorithms are computationally efficient and can be reapplied online in real time, whilst providing theoretical…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Seth Siriya , Mo Chen , Ye Pu

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

Optimization and Control · Mathematics 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid…

Machine Learning · Computer Science 2023-01-16 Anshul Nayak , Azim Eskandarian , Zachary Doerzaph

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Trajectory planning for autonomous driving is challenging because the unknown future motion of traffic participants must be accounted for, yielding large uncertainty. Stochastic Model Predictive Control (SMPC)-based planners provide…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Tommaso Benciolini , Michael Fink , Nehir Güzelkaya , Dirk Wollherr , Marion Leibold

This paper considers safe robot mission planning in uncertain dynamical environments. This problem arises in applications such as surveillance, emergency rescue, and autonomous driving. It is a challenging problem due to modeling and…

Robotics · Computer Science 2020-03-09 Yimeng Lu , Maryam Kamgarpour

An accurate trajectory prediction is crucial for safe and efficient autonomous driving in complex traffic environments. In recent years, artificial intelligence has shown strong capabilities in improving prediction accuracy. However, its…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Wenbo Shao , Yanchao Xu , Jun Li , Chen Lv , Weida Wang , Hong Wang

Learning-based methods have been successful in solving complex control tasks without significant prior knowledge about the system. However, these methods typically do not provide any safety guarantees, which prevents their use in…

Systems and Control · Computer Science 2018-11-08 Torsten Koller , Felix Berkenkamp , Matteo Turchetta , Andreas Krause

Efficient trajectory planning for urban intersections is currently one of the most challenging tasks for an Autonomous Vehicle (AV). Courteous behavior towards other traffic participants, the AV's comfort and its progression in the…

Robotics · Computer Science 2020-10-08 Oliver Speidel , Maximilian Graf , Ankit Kaushik , Thanh Phan-Huu , Andreas Wedel , Klaus Dietmayer

We study driver's optimal trajectory planning under uncertainty in the duration of a traffic light's green phase. We interpret this as an optimal control problem with an objective of minimizing the expected cost based on the fuel use,…

Optimization and Control · Mathematics 2022-01-13 Mallory E. Gaspard , Alexander Vladimirsky

We address the problem of forecasting pedestrian and vehicle trajectories in unknown environments, conditioned on their past motion and scene structure. Trajectory forecasting is a challenging problem due to the large variation in scene…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Nachiket Deo , Mohan M. Trivedi

We investigate the problem of establishing finite-time probabilistic safety guarantees for discrete-time stochastic dynamical systems subject to unknown disturbance distributions, using barrier certificate methods. Our approach develops a…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Taoran Wu , Dominik Wagner , C. -H. Luke Ong , Bai Xue

Predicting human behavior is a difficult and crucial task required for motion planning. It is challenging in large part due to the highly uncertain and multi-modal set of possible outcomes in real-world domains such as autonomous driving.…

Machine Learning · Computer Science 2019-10-15 Yuning Chai , Benjamin Sapp , Mayank Bansal , Dragomir Anguelov

We consider stochastic model predictive control of a multi-agent systems with constraints on the probabilities of inter-agent collisions. We first study a sample-based approximation of the collision probabilities and use this approximation…

Systems and Control · Computer Science 2011-08-17 Daniel Lyons , Jan-P. Calliess , Uwe D. Hanebeck

Recent trends envisage robots being deployed in areas deemed dangerous to humans, such as buildings with gas and radiation leaks. In such situations, the model of the underlying hazardous process might be unknown to the agent a priori,…

Robotics · Computer Science 2021-09-24 Fernando S. Barbosa , Bruno Lacerda , Paul Duckworth , Jana Tumova , Nick Hawes

Safe autonomous navigation is an essential and challenging problem for robots operating in highly unstructured or completely unknown environments. Under these conditions, not only robotic systems must deal with limited localisation…

Robotics · Computer Science 2020-05-27 Èric Pairet , Juan David Hernández , Marc Carreras , Yvan Petillot , Morteza Lahijanian

Trajectory optimization and model predictive control are essential techniques underpinning advanced robotic applications, ranging from autonomous driving to full-body humanoid control. State-of-the-art algorithms have focused on data-driven…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Hany Abdulsamad , Tim Dorau , Boris Belousov , Jia-Jie Zhu , Jan Peters
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