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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

Lattice-based motion planning is a hybrid planning method where a plan made up of discrete actions simultaneously is a physically feasible trajectory. The planning takes both discrete and continuous aspects into account, for example action…

Robotics · Computer Science 2021-12-07 Mattias Tiger , David Bergström , Andreas Norrstig , Fredrik Heintz

This paper studies the kinematic tracking control problem for aerial manipulators. Existing kinematic tracking control methods, which typically employ proportional-derivative feedback or tracking-error-based feedback strategies, may fail to…

Robotics · Computer Science 2026-01-21 Huazi Cao , Jiahao Shen , Zhengzhen Li , Qinquan Ren , Shiyu Zhao

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

We address the theoretical and practical problems related to the trajectory generation and tracking control of tail-sitter UAVs. Theoretically, we focus on the differential flatness property with full exploitation of actual UAV aerodynamic…

Robotics · Computer Science 2023-07-26 Guozheng Lu , Yixi Cai , Nan Chen , Fanze Kong , Yunfan Ren , Fu Zhang

Accurate trajectory tracking control for quadrotors is essential for safe navigation in cluttered environments. However, this is challenging in agile flights due to nonlinear dynamics, complex aerodynamic effects, and actuation constraints.…

Robotics · Computer Science 2024-01-05 Sihao Sun , Angel Romero , Philipp Foehn , Elia Kaufmann , Davide Scaramuzza

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

This paper presents a framework for safe navigation of a unicycle point robot to a goal position in an environment populated with obstacles from almost any admissible state, considering input limits. We introduce a novel QP formulation to…

Robotics · Computer Science 2026-04-21 Aref Amiri , Basak Sakcak , Steven M. LaValle

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

In this paper, we present a control synthesis framework for a general class of nonlinear, control-affine systems under spatiotemporal and input constraints. First, we study the problem of fixed-time convergence in the presence of input…

Optimization and Control · Mathematics 2022-04-27 Kunal Garg , Ehsan Arabi , Dimitra Panagou

A flight trajectory defines how exactly a quadrocopter moves in the three-dimensional space from one position to another. Automatic flight trajectory planning faces challenges such as high computational effort and a lack of precision.…

Software Engineering · Computer Science 2024-11-07 Leonhard Alkewitz , Timo Zuccarello , Alexander Raschke , Matthias Tichy

This paper develops a control approach with correctness guarantees for the simultaneous operation of lane keeping and adaptive cruise control. The safety specifications for these driver assistance modules are expressed in terms of set…

Optimization and Control · Mathematics 2017-05-09 Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada , Aaron D. Ames

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

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

A typical manipulation task consists of a manipulator equipped with a gripper to grasp and move an object with constraints on the motion of the hand-held object, which may be due to the nature of the task itself or from object-environment…

In order to meet the requirements for autonomous systems in real world applications, reliable path following controllers have to be designed to execute planned paths despite the existence of disturbances and model errors. In this paper we…

Optimization and Control · Mathematics 2016-05-17 Oskar Ljungqvist , Daniel Axehill , Anders Helmersson

Generating time-optimal, collision-free trajectories for autonomous mobile robots involves a fundamental trade-off between guaranteeing safety and managing computational complexity. State-of-the-art approaches formulate spline-based motion…

Robotics · Computer Science 2026-03-26 Dries Dirckx , Jan Swevers , Wilm Decré

We tackle the problem of minimum-time flight for a quadrotor through a sequence of waypoints in the presence of obstacles while exploiting the full quadrotor dynamics. Early works relied on simplified dynamics or polynomial trajectory…

Robotics · Computer Science 2022-06-22 Robert Penicka , Yunlong Song , Elia Kaufmann , Davide Scaramuzza

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

This paper is motivated by controllers developed for autonomous vehicles which occasionally result into conditions where safety is no longer guaranteed. We develop an exact-time safety recovery framework for any control-affine nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yingqing Chen , Christos G. Cassandras , Wei Xiao , Anni Li
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