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In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

Obstacle avoidance is a fundamental and challenging problem for autonomous navigation of mobile robots. In this paper, we consider the problem of obstacle avoidance in simple 3D environments where the robot has to solely rely on a single…

Machine Learning · Computer Science 2021-03-09 Patrick Wenzel , Torsten Schön , Laura Leal-Taixé , Daniel Cremers

A significant challenge in autonomous racing is to generate overtaking maneuvers. Racing agents must execute these maneuvers on complex racetracks with little room for error. Optimization techniques and graph-based methods have been…

Robotics · Computer Science 2025-10-02 Trent Weiss , Amar Kulkarni , Madhur Behl

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

We study motion planning algorithms for collision free control of multiple objects in the presence of moving obstacles. We compute the topological complexity of algorithms solving this problem. We apply topological tools and use information…

Optimization and Control · Mathematics 2007-05-23 Michael Farber , Mark Grant , Sergey Yuzvinsky

The anticipated launch of fully autonomous vehicles presents an opportunity to develop and implement novel traffic management systems. Intersections are one of the bottlenecks for urban traffic, and thus offer tremendous potential for…

Systems and Control · Electrical Eng. & Systems 2024-01-25 P. C. Joshi , M. A. A. Boon , S. C. Borst

This paper discusses obstacle avoidance using fuzzy logic and shortest path algorithm. This paper also introduces the sliding blades problem and illustrates how a drone can navigate itself through the swinging blade obstacles while tracing…

Artificial Intelligence · Computer Science 2016-05-04 Shadrack Kimutai

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

Computational Geometry · Computer Science 2015-05-06 Philip Dasler , David M. Mount

We study variational obstacle avoidance problems on complete Riemannian manifolds and apply the results to the construction of piecewise smooth curves interpolating a set of knot points in systems with impulse effects. We derive the…

Optimization and Control · Mathematics 2021-08-31 Jacob R. Goodman , Leonardo J. Colombo

Understanding collision avoidance behavior is of key importance in traffic safety research and for designing and evaluating advanced driver assistance systems and autonomous vehicles. While existing experimental work has primarily focused…

Human-Computer Interaction · Computer Science 2025-11-06 Leif Johnson , Johan Engström , Aravinda Srinivasan , Ibrahim Özturk , Gustav Markkula

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

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

In this work, we study the reduction by a Lie group of symmetries of variational collision avoidance probelms of multiple agents evolving on a Riemannian manifold and derive necessary conditions for the reduced extremals. The problem…

Optimization and Control · Mathematics 2023-10-31 Jacob R. Goodman , Leonardo J. Colombo

Motion planning and obstacle avoidance is a key challenge in robotics applications. While previous work succeeds to provide excellent solutions for known environments, sensor-based motion planning in new and dynamic environments remains…

In the field of autonomous robots, reinforcement learning (RL) is an increasingly used method to solve the task of dynamic obstacle avoidance for mobile robots, autonomous ships, and drones. A common practice to train those agents is to use…

Robotics · Computer Science 2022-12-09 Fabian Hart , Ostap Okhrin

Vehicle trajectory optimization is essential to ensure vehicles travel efficiently and safely. This paper presents an infrastructure assisted constrained connected automated vehicles (CAVs) trajectory optimization method on curved roads.…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Ran Yi , Yang Zhou , Xin Wang , Zhiyuan Liu , Xiaotian Li , Bin Ran

We study a novel graph path planning problem for multiple agents that may crash at runtime, and block part of the workspace. In our setting, agents can detect neighboring crashed agents, and change followed paths at runtime. The objective…

Robotics · Computer Science 2022-11-28 Keisuke Okumura , Sébastien Tixeuil

This paper introduces a novel NMPC formulation for real-time obstacle avoidance on heavy equipment by modeling both vehicle and obstacles as convex superellipsoids. The combination of this approach with the separating hyperplane theorem and…

Optimization and Control · Mathematics 2024-09-05 Ruairi Moran , Sheila Bagley , Seth Kasmann , Rob Martin , David Pasley , Shane Trimble , James Dianics , Pantelis Sopasakis

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

This paper proposes collision-free optimal trajectory planning for autonomous vehicles in highway traffic, where vehicles need to deal with the interaction among each other. To address this issue, a novel optimal control framework is…

Robotics · Computer Science 2024-04-03 Dongryul Kim , Hyeonjeong Kim , Kyoungseok Han
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