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This technical report provides detailed theoretical analysis of the algorithm used in \textit{Alternating Minimization Based Trajectory Generation for Quadrotor Aggressive Flight}. An assumption is provided to ensure that settings for the…

Robotics · Computer Science 2020-02-24 Zhepei Wang , Xin Zhou , Chao Xu , Fei Gao

In this paper, we propose an alternating optimization method to address a time-optimal trajectory generation problem. Different from the existing solutions, our approach introduces a new formulation that minimizes the overall trajectory…

Robotics · Computer Science 2023-12-06 Wytze A. B. de Vries , Ming Li , Qirui Song , Zhiyong Sun

Quadrotors can achieve aggressive flight by tracking complex maneuvers and rapidly changing directions. Planning for aggressive flight with trajectory optimization could be incredibly fast, even in higher dimensions, and can account for…

Robotics · Computer Science 2021-05-03 Ramkumar Natarajan , Howie Choset , Maxim Likhachev

In this work, we propose a search-based planning method to compute dynamically feasible trajectories for a quadrotor flying in an obstacle-cluttered environment. Our approach searches for smooth, minimum-time trajectories by exploring the…

Robotics · Computer Science 2017-09-19 Sikang Liu , Nikolay Atanasov , Kartik Mohta , Vijay Kumar

This paper presents a scalable online algorithm to generate safe and kinematically feasible trajectories for quadrotor swarms. Existing approaches rely on linearizing Euclidean distance-based collision constraints and on axis-wise…

Robotics · Computer Science 2023-03-10 Vivek K. Adajania , Siqi Zhou , Arun Kumar Singh , Angela P. Schoellig

Time-critical tasks such as drone racing typically cover large operation areas. However, it is difficult and computationally intensive for current time-optimal motion planners to accommodate long flight distances since a large yet unknown…

Robotics · Computer Science 2024-07-26 Chao Qin , Jingxiang Chen , Yifan Lin , Abhishek Goudar , Angela P. Schoellig , Hugh H. -T. Liu

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

It is a significant requirement for a quadrotor trajectory planner to simultaneously guarantee trajectory quality and system lightweight. Many researchers focus on this problem, but there's still a gap between their performance and our…

Robotics · Computer Science 2025-02-25 Jialiang Hou , Neng Pan , Zhepei Wang , Jialin Ji , Yuxiang Guan , Zhongxue Gan , Fei Gao

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

This paper presents a novel learning-based trajectory planning framework for quadrotors that combines model-based optimization techniques with deep learning. Specifically, we formulate the trajectory optimization problem as a quadratic…

Robotics · Computer Science 2023-12-05 Yuwei Wu , Xiatao Sun , Igor Spasojevic , 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 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

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

Quadrotors with large thrust-to-weight ratios are able to track aggressive trajectories with sharp turns and high accelerations. In this work, we develop a search-based trajectory planning approach that exploits the quadrotor…

Robotics · Computer Science 2017-10-10 Sikang Liu , Kartik Mohta , Nikolay Atanasov , Vijay Kumar

Autonomous drone racing is becoming an excellent platform to challenge quadrotors' autonomy techniques including planning, navigation and control technologies. However, most research on this topic mainly focuses on single drone scenarios.…

Robotics · Computer Science 2023-03-03 Yuyang Shen , Jinming Xu , Jin Zhou , Danzhe Xu , Fangguo Zhao , Jiming Chen , Shuo Li

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

We tackle the problem of planning a minimum-time trajectory for a quadrotor over a sequence of specified waypoints in the presence of obstacles while exploiting the full quadrotor dynamics. This problem is crucial for autonomous search and…

Robotics · Computer Science 2022-02-09 Robert Penicka , Davide Scaramuzza

We consider the problem of generating a time-optimal quadrotor trajectory that attains a set of prescribed waypoints. This problem is challenging since the optimal trajectory is located on the boundary of the set of dynamically feasible…

Robotics · Computer Science 2020-06-05 Gilhyun Ryou , Ezra Tal , Sertac Karaman

We address the challenge of real-time planning of minimum-time trajectories over multiple waypoints, onboard multirotor UAVs. Previous works demonstrated that achieving a truly time-optimal trajectory is computationally too demanding to…

Robotics · Computer Science 2024-10-01 Krystof Teissing , Matej Novosad , Robert Penicka , Martin Saska

Planning time-optimal trajectories for quadrotors in cluttered environments is a challenging, non-convex problem. This paper addresses minimizing the traversal time of a given collision-free geometric path without violating bounds on…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , M. Ani Hsieh , Vijay Kumar
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