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Motion planning for autonomous vehicles requires generating collision-free and dynamically feasible trajectories in complex environments under real-time constraints. While nonlinear optimal control formulations provide high-fidelity…

Robotics · Computer Science 2026-05-15 Matheus Wagner , Antônio Augusto Fröhlich

Graphs of Convex Sets (GCS) is a recent method for synthesizing smooth trajectories by decomposing the planning space into convex sets, forming a graph to encode the adjacency relationships within the decomposition, and then simultaneously…

Robotics · Computer Science 2024-10-14 Ramkumar Natarajan , Chaoqi Liu , Howie Choset , Maxim Likhachev

In this paper, we create optimal, collision-free, time-dependent trajectories through cluttered dynamic environments. The many spatial and temporal constraints make finding an initial guess for a numerical solver difficult. Graphs of Convex…

Robotics · Computer Science 2025-09-26 Matthew D. Osburn , Cameron K. Peterson , John L. Salmon

A Graph of Convex Sets (GCS) is a graph in which vertices are associated with convex programs and edges couple pairs of programs through additional convex costs and constraints. Any optimization problem over an ordinary weighted graph…

Optimization and Control · Mathematics 2025-10-24 Tobia Marcucci

We present a numerical approach to finding optimal trajectories for players in a multi-body, asset-guarding game with nonlinear dynamics and non-convex constraints. Using the Iterative Best Response (IBR) scheme, we solve for each player's…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Emmanuel Sin , Murat Arcak , Douglas Philbrick , Peter Seiler

In this study, we propose GITSR, an effective framework for Graph Interaction Transformer-based Scene Representation for multi-vehicle collaborative decision-making in intelligent transportation system. In the context of mixed traffic where…

Machine Learning · Computer Science 2024-11-05 Xingyu Hu , Lijun Zhang , Dejian Meng , Ye Han , Lisha Yuan

Optimization based motion planning provides a useful modeling framework through various costs and constraints. Using Graph of Convex Sets (GCS) for trajectory optimization gives guarantees of feasibility and optimality by representing…

Robotics · Computer Science 2025-04-15 Shruti Garg , Thomas Cohn , Russ Tedrake

Planning under social interactions with other agents is an essential problem for autonomous driving. As the actions of the autonomous vehicle in the interactions affect and are also affected by other agents, autonomous vehicles need to…

Robotics · Computer Science 2022-07-11 Chenran Li , Tu Trinh , Letian Wang , Changliu Liu , Masayoshi Tomizuka , Wei Zhan

We address the Multi-Robot Motion Planning (MRMP) problem of computing collision-free trajectories for multiple robots in shared continuous environments. While existing frameworks effectively decompose MRMP into single-robot subproblems,…

Robotics · Computer Science 2025-07-01 Jingtao Tang , Zining Mao , Lufan Yang , Hang Ma

We consider large-scale, implicit-search-based solutions to Shortest Path Problems on Graphs of Convex Sets (GCS). We propose GCS*, a forward heuristic search algorithm that generalizes A* search to the GCS setting, where a…

Autonomous driving planning systems perform nearly perfectly in routine scenarios using lightweight, rule-based methods but still struggle in dense urban traffic, where lane changes and merges require anticipating and influencing other…

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

An efficient and reliable multi-agent decision-making system is highly demanded for the safe and efficient operation of connected autonomous vehicles in intelligent transportation systems. Current researches mainly focus on the Deep…

Robotics · Computer Science 2022-02-01 Qi Liu , Zirui Li , Xueyuan Li , Jingda Wu , Shihua Yuan

This paper presents a regulation-aware motion planning framework for autonomous racing scenarios. Each agent solves a Regulation-Compliant Model Predictive Control problem, where racing rules - such as right-of-way and collision avoidance…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Francesco Prignoli , Francesco Borrelli , Paolo Falcone , Mark Pustilnik

Game-based interactive driving simulations have emerged as versatile platforms for advancing decision-making algorithms in road transport mobility. While these environments offer safe, scalable, and engaging settings for testing driving…

Robotics · Computer Science 2025-09-09 Zhihao Lin , Zhen Tian

Proper functioning of connected and automated vehicles (CAVs) is crucial for the safety and efficiency of future intelligent transport systems. Meanwhile, transitioning to fully autonomous driving requires a long period of mixed autonomy…

Robotics · Computer Science 2022-11-08 Qi Liu , Xueyuan Li , Zirui Li , Jingda Wu , Guodong Du , Xin Gao , Fan Yang , Shihua Yuan

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

Robotics · Computer Science 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

Applying reinforcement learning to autonomous driving entails particular challenges, primarily due to dynamically changing traffic flows. To address such challenges, it is necessary to quickly determine response strategies to the changing…

Robotics · Computer Science 2022-12-12 Se-Wook Yoo , Chan Kim , Jin-Woo Choi , Seong-Woo Kim , Seung-Woo Seo

This work develops a control framework for the autonomous overtaking of connected and automated vehicles (CAVs) in a mixed traffic environment, where the overtaken vehicle is an unconnected but interactive human-driven vehicle. The proposed…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Sheng Yu , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

Autonomous vehicles must balance ranked objectives, such as minimizing travel time, ensuring safety, and coordinating with traffic. Games of ordered preference effectively model these interactions but become computationally intractable as…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Pau de las Heras Molins , Eric Roy-Almonacid , Dong Ho Lee , Lasse Peters , David Fridovich-Keil , Georgios Bakirtzis
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