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Trajectory optimization methods have achieved an exceptional level of performance on real-world robots in recent years. These methods heavily rely on accurate analytical models of the dynamics, yet some aspects of the physical world can…

Alongside optimization-based planners, sampling-based approaches are often used in trajectory planning for autonomous driving due to their simplicity. Model predictive path integral control is a framework that builds upon optimization…

Robotics · Computer Science 2026-02-09 Georg Rabenstein , Lars Ullrich , Knut Graichen

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 prediction is an essential step in the pipeline of an autonomous vehicle. Inaccurate or inconsistent predictions regarding the movement of agents in its surroundings lead to poorly planned maneuvers and potentially dangerous…

Machine Learning · Computer Science 2025-07-04 Caio Azevedo , Lina Achaji , Stefano Sabatini , Nicola Poerio , Grzegorz Bartyzel , Sascha Hornauer , Fabien Moutarde

Autonomous race cars require perception, estimation, planning, and control modules which work together asynchronously while driving at the limit of a vehicle's handling capability. A fundamental challenge encountered in designing these…

Robotics · Computer Science 2020-11-17 Achin Jain , Matthew O'Kelly , Pratik Chaudhari , Manfred Morari

Autonomous racing is a challenging problem, as the vehicle needs to operate at the friction or handling limits in order to achieve minimum lap times. Autonomous race cars require highly accurate perception, state estimation, planning and…

Robotics · Computer Science 2023-03-16 Dvij Kalaria , Qin Lin , John M. Dolan

This paper describes autonomous racing of RC race cars based on mathematical optimization. Using a dynamical model of the vehicle, control inputs are computed by receding horizon based controllers, where the objective is to maximize…

Optimization and Control · Mathematics 2017-11-21 Alexander Liniger , Alexander Domahidi , Manfred Morari

Self-driving vehicles rely on sensory input to monitor their surroundings and continuously adapt to the most likely future road course. Predictive trajectory planning is based on snapshots of the (uncertain) road course as a key input.…

Robotics · Computer Science 2025-09-24 Benjamin Bogenberger , Johannes Bürger , Vladislav Nenchev

This paper explores the use of reinforcement learning (RL) models for autonomous racing. In contrast to passenger cars, where safety is the top priority, a racing car aims to minimize the lap-time. We frame the problem as a reinforcement…

Artificial Intelligence · Computer Science 2022-06-14 Adrian Remonda , Sarah Krebs , Eduardo Veas , Granit Luzhnica , Roman Kern

Accurate tire modeling is crucial for optimizing autonomous racing vehicles, as state-of-the-art (SotA) model-based techniques rely on precise knowledge of the vehicle's parameters. Yet, system identification in dynamic racing conditions is…

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

Implementing an autonomous vehicle that is able to output feasible, smooth and efficient trajectories is a long-standing challenge. Several approaches have been considered, roughly falling under two categories: rule-based and learning-based…

Robotics · Computer Science 2022-03-22 Branka Mirchevska , Moritz Werling , Joschka Boedecker

For safe and efficient planning and control in autonomous driving, we need a driving policy which can achieve desirable driving quality in long-term horizon with guaranteed safety and feasibility. Optimization-based approaches, such as…

Artificial Intelligence · Computer Science 2017-07-11 Liting Sun , Cheng Peng , Wei Zhan , Masayoshi Tomizuka

Sequentially solving similar optimization problems under strict runtime constraints is essential for many applications, such as robot control, autonomous driving, and portfolio management. The performance of local optimization methods in…

Machine Learning · Computer Science 2025-02-04 Elad Sharony , Heng Yang , Tong Che , Marco Pavone , Shie Mannor , Peter Karkus

This paper proposes a fast and accurate trajectory planning algorithm for autonomous parking. Nominally, an optimal control problem should be formulated to describe this scheme, but the dimensionality of the optimal control problem is…

Robotics · Computer Science 2021-02-04 Bai Li , Tankut Acarman , Qi Kong , Youmin Zhang

Modern automated driving solutions utilize trajectory planning and control components with numerous parameters that need to be tuned for different driving situations and vehicle types to achieve optimal performance. This paper proposes a…

Systems and Control · Electrical Eng. & Systems 2024-06-26 Hung-Ju Wu , Vladislav Nenchev , Christian Rathgeber

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

Robotics · Computer Science 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

Fully autonomous racing demands not only high-speed driving but also fair and courteous maneuvers. In this paper, we propose an autonomous racing framework that learns complex racing behaviors from expert demonstrations using hierarchical…

Robotics · Computer Science 2024-11-08 Chanyoung Chung , Hyunki Seong , David Hyunchul Shim

This paper develops an optimal acceleration/speed profile for a single autonomous vehicle crossing multiple signalized intersections without stopping in free flow mode. The design objective is to produce both time and energy efficient…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Xiangyu Meng , Christos G. Cassandras

In this paper we present a Learning Model Predictive Controller (LMPC) for autonomous racing. We model the autonomous racing problem as a minimum time iterative control task, where an iteration corresponds to a lap. In the proposed approach…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ugo Rosolia , Francesco Borrelli