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To perform autonomous driving maneuvers, such as parallel or perpendicular parking, a vehicle requires continual speed and steering adjustments to follow a generated path. In consequence, the path's quality is a limiting factor of the…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Jason Zalev

Lane changing and lane merging remains a challenging task for autonomous driving, due to the strong interaction between the controlled vehicle and the uncertain behavior of the surrounding traffic participants. The interaction induces a…

Optimization and Control · Mathematics 2022-12-01 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

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 present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

In this paper, a novel closed-loop control framework for autonomous obstacle avoidance on a curve road is presented. The proposed framework provides two main functionalities; (i) collision free trajectory planning using MPC and (ii) a…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Shayan Taherian , Shilp Dixit , Umberto Montanaro , Saber Fallah

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

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

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

This research focuses on trajectory planning problems for autonomous vehicles utilizing numerical optimal control techniques. The study reformulates the constrained optimization problem into a nonlinear programming problem, incorporating…

Robotics · Computer Science 2023-12-13 Jiayu Fan , Nikolce Murgovski , Jun Liang

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

Autonomous navigation in dense traffic scenarios remains challenging for autonomous vehicles (AVs) because the intentions of other drivers are not directly observable and AVs have to deal with a wide range of driving behaviors. To maneuver…

Robotics · Computer Science 2021-07-12 Bruno Brito , Achin Agarwal , Javier Alonso-Mora

This paper presents a strictly convex chance-constrained stochastic control framework that accounts for uncertainty in control specifications such as reference trajectories and operational constraints. By jointly optimizing control inputs…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Teruki Kato , Ryotaro Shima , Kenji Kashima

To achieve complete autonomous vehicles, it is crucial for autonomous vehicles to communicate and interact with their surrounding vehicles. Especially, since the lane change scenarios do not have traffic signals and traffic rules, the…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Jemin Woo , Changsun Ahn

This work presents a sequential convex program method to compute fuel-optimal collision avoidance maneuvers for long-term encounters. The low-thrust acceleration model is used to account for the control, but the method can compute…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Zeno Pavanello , Laura Pirovano , Roberto Armellin

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

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

Trajectory planning in urban automated driving is challenging because of the high uncertainty resulting from the unknown future motion of other traffic participants. Robust approaches guarantee safety, but tend to result in overly…

Systems and Control · Electrical Eng. & Systems 2021-11-30 Tommaso Benciolini , Tim Brüdigam , Marion Leibold

This article examines a symbolic numerical approach to optimize a vehicle's track for autonomous driving and collision avoidance. The new approach uses the classical cost function definition incorporating the essential aspects of the…

Optimization and Control · Mathematics 2022-10-18 Hazem Fahmy , Mohamed A. Abd El Ghany , Gerd Baumann

This research introduces two efficient methods to estimate the collision risk of planned trajectories in autonomous driving under uncertain driving conditions. Deterministic collision checks of planned trajectories are often inaccurate or…

Robotics · Computer Science 2025-10-08 Marc Kaufeld , Johannes Betz