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This paper presents a spatial-based trajectory planning method for automated vehicles under actuator, obstacle avoidance, and vehicle dimension constraints. Starting from a nonlinear kinematic bicycle model, vehicle dynamics are transformed…

Systems and Control · Computer Science 2017-07-24 Mogens Graf Plessen , Pedro F. Lima , Jonas Martensson , Alberto Bemporad , Bo Wahlberg

In this paper, we provide a decentralized theoretical framework for coordination of connected and automated vehicles (CAVs) at different traffic scenarios. The framework includes: (1) an upper-level optimization that yields for each CAV its…

Optimization and Control · Mathematics 2021-07-14 Andreas A. Malikopoulos , Logan E. Beaver , Ioannis Vasileios Chremos

Multi-modal behaviors exhibited by surrounding vehicles (SVs) can typically lead to traffic congestion and reduce the travel efficiency of autonomous vehicles (AVs) in dense traffic. This paper proposes a real-time parallel trajectory…

Robotics · Computer Science 2023-09-12 Lei Zheng , Rui Yang , Zengqi Peng , Haichao Liu , Michael Yu Wang , Jun Ma

In this article, we consider the problem of trajectory planning and control for on-road driving of an autonomous ground vehicle (AGV) in presence of static or moving obstacles. We propose a systematic approach to partition the…

Systems and Control · Computer Science 2018-01-25 Florent Altché , Arnaud de La Fortelle

Widespread development of driverless vehicles has led to the formation of autonomous racing, where technological development is accelerated by the high speeds and competitive environment of motorsport. A particular challenge for an…

Robotics · Computer Science 2021-09-16 Sam Garlick , Andrew Bradley

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

We propose a method to compute optimal control paths for autonomous vehicles deployed for the purpose of inferring a velocity field. In addition to being advected by the flow, the vehicles are able to effect a fixed relative speed with…

Optimization and Control · Mathematics 2015-12-09 Damon McDougall , Richard Moore

Planning a safe and feasible trajectory for autonomous vehicles in real-time by fully utilizing perceptual information in complex urban environments is challenging. In this paper, we propose a spatio-temporal trajectory planning method…

Robotics · Computer Science 2025-02-26 Shan He , Yalong Ma , Tao Song , Yongzhi Jiang , Xinkai Wu

We introduce a hybrid spatiotemporal logic for automotive safety applications (HSTL), focused on highway driving. Spatiotemporal logic features specifications about vehicles throughout space and time, while hybrid logic enables precise…

Logic in Computer Science · Computer Science 2026-03-30 Radu-Florin Tulcan , Rose Bohrer , Yoàv Montacute , Kevin Zhou , Yusuke Kawamoto , Ichiro Hasuo

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

This paper addresses the advancements in on-road trajectory planning for Autonomous Passenger Vehicles (APV). Trajectory planning aims to produce a globally optimal route for APVs, considering various factors such as vehicle dynamics,…

Robotics · Computer Science 2023-09-27 Hanxiang Li , Jiaqiao Zhang , Sheng Zhu , Dongjian Tang , Donghao Xu

Existing macroscopic traffic control methods often struggle to strictly regulate rare, safety-critical extreme events under stochastic disturbances. In this paper, we develop a rare chance-constrained optimal control framework for…

Optimization and Control · Mathematics 2026-04-03 Rui Xu , Shanyin Tong , Xuan Di

Autonomous driving has been the subject of increased interest in recent years both in industry and in academia. Serious efforts are being pursued to address legal, technical and logistical problems and make autonomous cars a viable option…

Artificial Intelligence · Computer Science 2016-08-31 Nan Li , Dave Oyler , Mengxuan Zhang , Yildiray Yildiz , Ilya Kolmanovsky , Anouck Girard

Autonomous highway driving involves high-speed safety risks due to limited reaction time, where rare but dangerous events may lead to severe consequences. This places stringent requirements on trajectory planning in terms of both…

Robotics · Computer Science 2026-04-14 Yujia Lu , Chong Wei , Lu Ma , Lounis Adouane

Max-Plus Linear (MPL) systems are an algebraic formalism with practical applications in transportation networks, manufacturing and biological systems. In this paper, we investigate the problem of automatically analyzing the properties of…

Formal Languages and Automata Theory · Computer Science 2023-08-22 Muhammad Syifa'ul Mufid , Andrea Micheli , Alessandro Abate , Alessandro Cimatti

Path planning for autonomous vehicles in arbitrary environments requires a guarantee of safety, but this can be impractical to ensure in real-time when the vehicle is described with a high-fidelity model. To address this problem, this paper…

Systems and Control · Computer Science 2017-05-02 Shreyas Kousik , Sean Vaskov , Matthew Johnson-Roberson , Ramanarayan Vasudevan

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

Logic in Computer Science · Computer Science 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

Trajectory planning is a critical component in ensuring the safety, stability, and efficiency of autonomous vehicles. While existing trajectory planning methods have achieved progress, they often suffer from high computational costs,…

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