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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

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

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

This article addresses obstacle avoidance motion planning for autonomous vehicles, specifically focusing on highway overtaking maneuvers. The control design challenge is handled by considering a mathematical vehicle model that captures both…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Gianni Cario , Valentino Carriuolo , Alessandro Casavola , Gianfranco Gagliardi , Marco Lupia , Franco Angelo Torchiaro

Maritime Autonomous Surface Ships (MASS) are increasingly regarded as a promising solution to address crew shortages, improve navigational safety, and improve operational efficiency in the maritime industry. Nevertheless, the reliable…

This work presents a trajectory planning method based on composite Bernstein polynomials for autonomous systems navigating complex environments. The method is implemented in a symbolic optimization framework that enables continuous paths…

Robotics · Computer Science 2026-02-12 Nick Gorman , Gage MacLin , Maxwell Hammond , Venanzio Cichella

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

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

In practice, navigation of mobile robots in confined environments is often done using a spatially discrete cost-map to represent obstacles. Path following is a typical use case for model predictive control (MPC), but formulating constraints…

Robotics · Computer Science 2025-07-15 Michael Schröder , Eric Schöneberg , Daniel Görges , Hans D. Schotten

Safe UAV navigation is challenging due to the complex environment structures, dynamic obstacles, and uncertainties from measurement noises and unpredictable moving obstacle behaviors. Although plenty of recent works achieve safe navigation…

Robotics · Computer Science 2022-03-15 Zhefan Xu , Di Deng , Yiping Dong , Kenji Shimada

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Robotics · Computer Science 2021-06-11 Ashkan Jasour , Weiqiao Han , Brian Williams

Computing collision-free trajectories is of prime importance for safe navigation. We present an approach for computing the collision probability under Gaussian distributed motion and sensing uncertainty with the robot and static obstacle…

Robotics · Computer Science 2021-11-05 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Efficient performance of a number of engineering systems is achieved through different modes of operation - yielding systems described as "hybrid", containing both real-valued and discrete decision variables. Prominent examples of such…

Optimization and Control · Mathematics 2019-10-22 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

Efficient trajectory optimization is essential for avoiding collisions in unstructured environments, but it remains challenging to have both speed and quality in the solutions. One reason is that second-order optimality requires calculating…

Robotics · Computer Science 2021-11-04 Changhao Wang , Jeffrey Bingham , Masayoshi Tomizuka

Autonomous vehicles must navigate dynamically uncertain environments while balancing safety and efficiency. This challenge is exacerbated by unpredictable human-driven vehicle (HV) behaviors and perception inaccuracies, necessitating…

Robotics · Computer Science 2026-04-16 Rui Yang , Lei Zheng , Shuzhi Sam Ge , Jun Ma

In this paper, we formulate a novel trajectory optimization scheme that takes into consideration the state uncertainty of the robot and obstacle into its collision avoidance routine. The collision avoidance under uncertainty is modeled here…

Optimization and Control · Mathematics 2018-06-27 Dhaivat Bhatt , Akash Garg , Bharath Gopalakrishnan , K. Madhava Krishna

Connected and automated vehicles provide a new opportunity for highly advanced collision avoidance, in which several cars cooperate to reach an optimal overall outcome, that no single car acting in isolation could achieve. For example, one…

Systems and Control · Computer Science 2019-04-16 Charles Wartnaby , Daniele Bellan

Autonomous ships are essentially designed and equipped to perceive their internal and external environment and subsequently perform appropriate actions depending on the predetermined objective(s) without human intervention. Consequently,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Agnes Ngina Mwange , Dimas Maulana Rachman , Rin Suyama , Atsuo Maki

In this paper, we present an innovative risk-bounded motion planning methodology for stochastic multi-agent systems. For this methodology, the disturbance, noise, and model uncertainty are considered; and a velocity obstacle method is…

Robotics · Computer Science 2022-02-22 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Masayoshi Tomizuka , Tong Heng Lee

This article proposes a modular optimal control framework for local three-dimensional ellipsoidal obstacle avoidance, exemplarily applied to model predictive path-following control. Static as well as moving obstacles are considered. Central…

Systems and Control · Electrical Eng. & Systems 2025-10-31 David Leprich , Mario Rosenfelder , Markus Herrmann-Wicklmayr , Kathrin Flaßkamp , Peter Eberhard , Henrik Ebel