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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

Autonomous driving is a complex and highly dynamic process that ensures controlling the coupled longitudinal and lateral vehicle dynamics. Model predictive control, distinguished by its predictive feature, optimal performance, and ability…

Optimization and Control · Mathematics 2025-11-04 Yassine Kebbati , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

To be successful in multi-player drone racing, a player must not only follow the race track in an optimal way, but also compete with other drones through strategic blocking, faking, and opportunistic passing while avoiding collisions. Since…

A novel learning Model Predictive Control technique is applied to the autonomous racing problem. The goal of the controller is to minimize the time to complete a lap. The proposed control strategy uses the data from previous laps to improve…

Machine Learning · Computer Science 2017-11-10 Ugo Rosolia , Ashwin Carvalho , Francesco Borrelli

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

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

Reinforcement learning (RL), with its ability to explore and optimize policies in complex, dynamic decision-making tasks, has emerged as a promising approach to addressing motion planning (MoP) challenges in autonomous driving (AD). Despite…

Machine Learning · Computer Science 2025-04-01 Zhuoren Li , Guizhe Jin , Ran Yu , Zhiwen Chen , Nan Li , Wei Han , Lu Xiong , Bo Leng , Jia Hu , Ilya Kolmanovsky , Dimitar Filev

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

Autonomous vehicles (AVs) must share the driving space with other drivers and often employ conservative motion planning strategies to ensure safety. These conservative strategies can negatively impact AV's performance and significantly slow…

Robotics · Computer Science 2023-07-27 Piyush Gupta , David Isele , Donggun Lee , Sangjae Bae

Reinforcement learning (RL) is an effective approach to motion planning in autonomous driving, where an optimal driving policy can be automatically learned using the interaction data with the environment. Nevertheless, the reward function…

Robotics · Computer Science 2023-08-28 Lin-Chi Wu , Zengjie Zhang , Sofie Haesaert , Zhiqiang Ma , Zhiyong Sun

We introduce an Implicit Game-Theoretic MPC (IGT-MPC), a decentralized algorithm for two-agent motion planning that uses a learned value function that predicts the game-theoretic interaction outcomes as the terminal cost-to-go function in a…

Multiagent Systems · Computer Science 2025-12-05 Hansung Kim , Edward L. Zhu , Chang Seok Lim , Francesco Borrelli

Trajectory planning involving multi-agent interactions has been a long-standing challenge in the field of robotics, primarily burdened by the inherent yet intricate interactions among agents. While game-theoretic methods are widely…

Robotics · Computer Science 2025-07-17 Zhenmin Huang , Yusen Xie , Benshan Ma , Shaojie Shen , Jun Ma

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

Computer Science and Game Theory · Computer Science 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

Fully autonomous vehicles promise enhanced safety and efficiency. However, ensuring reliable operation in challenging corner cases requires control algorithms capable of performing at the vehicle limits. We address this requirement by…

Robotics · Computer Science 2025-08-14 Grzegorz Czechmanowski , Jan Węgrzynowski , Piotr Kicki , Krzysztof Walas

Resolving edge-cases in autonomous driving, head-to-head autonomous racing is getting a lot of attention from the industry and academia. In this study, we propose a game-theoretic model predictive control (MPC) approach for head-to-head…

Robotics · Computer Science 2021-06-09 Chanyoung Jung , Seungwook Lee , Hyunki Seong , Andrea Finazzi , David Hyunchul Shim

Game theory's prescriptive power typically relies on full rationality and/or self-play interactions. In contrast, this work sets aside these fundamental premises and focuses instead on heterogeneous autonomous interactions between two or…

Computer Science and Game Theory · Computer Science 2012-03-19 Enrique Munoz de Cote , Archie C. Chapman , Adam M. Sykulski , Nicholas R. Jennings

Computational complexity has been a major challenge in game-theoretic model predictive control (GT-MPC), as real-time solutions to a game (e.g., Nash equilibria (NEs)) have to be computed at each sampling instant of an MPC. This challenge…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Shaoqing Liu , Mushuang Liu

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

Recent work on decision making and planning for autonomous driving has made use of game theoretic methods to model interaction between agents. We demonstrate that methods based on the Stackelberg game formulation of this problem are…

Computer Science and Game Theory · Computer Science 2021-03-11 Jack Geary , Subramanian Ramamoorthy , Henry Gouk

Autonomous vehicles operating in complex real-world environments require accurate predictions of interactive behaviors between traffic participants. This paper tackles the interaction prediction problem by formulating it with hierarchical…

Robotics · Computer Science 2023-08-15 Zhiyu Huang , Haochen Liu , Chen Lv
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