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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…

One of the keys to flying quadrotors is to optimize their trajectories within the set of collision-free corridors. These corridors impose nonconvex constraints on the trajectories, making real-time trajectory optimization challenging. We…

Optimization and Control · Mathematics 2022-08-16 Yue Yu , Kartik Nagpal , Skye Mceowen , Behçet Açıkmeşe , Ufuk Topcu

This paper proposes a novel online motion planning approach to robot navigation based on nonlinear model predictive control. Common approaches rely on pure Euclidean optimization parameters. In robot navigation, however, state spaces often…

Robotics · Computer Science 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram

A good racing strategy and in particular the racing line is decisive to winning races in Formula 1, MotoGP, and other forms of motor racing. The racing line defines the path followed around a track as well as the optimal speed profile along…

Robotics · Computer Science 2020-02-13 Achin Jain , Manfred Morari

In this paper we present a novel strategy to compute minimum-time trajectories for quadrotors. In particular, we consider the motion in constrained environments, taking into account the physical limitations of the vehicle. Instead of…

Optimization and Control · Mathematics 2017-02-15 Sara Spedicato , Giuseppe Notarstefano

Agile quadrotor flight pushes the limits of control, actuation, and onboard perception. While time-optimal trajectory planning has been extensively studied, existing approaches typically neglect the tight coupling between vehicle dynamics,…

Robotics · Computer Science 2026-03-05 Chao Qin , Jiaxu Xing , Rudolf Reiter , Angel Romero , Yifan Lin , Hugh H. -T. Liu , Davide Scaramuzza

Minimum-time navigation within constrained and dynamic environments is of special relevance in robotics. Seeking time-optimality, while guaranteeing the integrity of time-varying spatial bounds, is an appealing trade-off for agile vehicles,…

Robotics · Computer Science 2022-09-07 Jon Arrizabalaga , Markus Ryll

In many robotic tasks, such as autonomous drone racing, the goal is to travel through a set of waypoints as fast as possible. A key challenge for this task is planning the time-optimal trajectory, which is typically solved by assuming…

Robotics · Computer Science 2021-08-03 Yunlong Song , Mats Steinweg , Elia Kaufmann , Davide Scaramuzza

Quadrotors are among the most agile flying robots. However, planning time-optimal trajectories at the actuation limit through multiple waypoints remains an open problem. This is crucial for applications such as inspection, delivery, search…

Robotics · Computer Science 2021-10-04 Philipp Foehn , Angel Romero , Davide Scaramuzza

Agile quadrotor flight relies on rapidly planning and accurately tracking time-optimal trajectories, a technology critical to their application in the wild. However, the computational burden of computing time-optimal trajectories based on…

Robotics · Computer Science 2023-05-05 Ziyu Zhou , Gang Wang , Jian Sun , Jikai Wang , Jie Chen

Computing optimal, collision-free trajectories for high-dimensional systems is a challenging problem. Sampling-based planners struggle with the dimensionality, whereas trajectory optimizers may get stuck in local minima due to inherent…

Robotics · Computer Science 2023-05-12 Thomas Cohn , Mark Petersen , Max Simchowitz , Russ Tedrake

Time-optimal trajectories drive quadrotors to their dynamic limits, but computing such trajectories involves solving non-convex problems via iterative nonlinear optimization, making them prohibitively costly for real-time applications. In…

Robotics · Computer Science 2025-06-18 Katherine Mao , Hongzhan Yu , Ruipeng Zhang , Igor Spasojevic , M Ani Hsieh , Sicun Gao , Vijay Kumar

In this paper, we propose a robust and efficient quadrotor motion planning system for fast flight in 3-D complex environments. We adopt a kinodynamic path searching method to find a safe, kinodynamic feasible and minimum-time initial…

Robotics · Computer Science 2019-07-04 Boyu Zhou , Fei Gao , Luqi Wang , Chuhao Liu , Shaojie Shen

In this paper, we propose a time-efficient approach to generate safe, smooth and dynamically feasible trajectories for quadrotors in obstacle-cluttered environment. By using the uniform B-spline to represent trajectories, we transform the…

Robotics · Computer Science 2019-11-19 Lvbang Tang , Hesheng Wang , Peng Li , Yong Wang

Quadrotors are agile flying robots that are challenging to control. Considering the full dynamics of quadrotors during motion planning is crucial to achieving good solution quality and small tracking errors during flight. Optimization-based…

Robotics · Computer Science 2023-04-28 Welf Rehberg , Joaquim Ortiz-Haro , Marc Toussaint , Wolfgang Hönig

This paper provides nonlinear tracking control systems for a quadrotor unmanned aerial vehicle (UAV) that are robust to bounded uncertainties. A mathematical model of a quadrotor UAV is defined on the special Euclidean group, and nonlinear…

Optimization and Control · Mathematics 2011-09-22 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

Robotics · Computer Science 2020-08-04 Philipp Foehn , Davide Scaramuzza

In this paper, we present a novel strategy to compute minimum-time trajectories for quadrotors in constrained environments. In particular, we consider the motion in a given flying region with obstacles and take into account the physical…

Optimization and Control · Mathematics 2017-06-22 Sara Spedicato , Giuseppe Notarstefano

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

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer
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