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This paper considers optimal control of a quadrotor unmanned aerial vehicles (UAV) using the discrete-time, finite-horizon, linear quadratic regulator (LQR). The state of a quadrotor UAV is represented as an element of the matrix Lie group…

Robotics · Computer Science 2021-05-31 Mitchell R. Cohen , Khairi Abdulrahim , James Richard Forbes

This paper describes the design of a linear quadratic gaussian (LQG) for trajectory tracking control of UAV Bicopter. In this work, disturbance in the form of payload significantly affects the trajectory tracking control process on the UAV…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Fahmizal , Hanung Adi Nugroho , Adha Imam Cahyadi , Igi Ardiyanto

This article presents an error-state Linear Quadratic Regulator (LQR) formulation for robust trajectory tracking in quadrotor Unmanned Aerial Vehicles (UAVs). The proposed approach leverages error-state dynamics and employs exponential…

Robotics · Computer Science 2025-01-28 Micah Reich

MAVs have great potential to assist humans in complex tasks, with applications ranging from logistics to emergency response. Their agility makes them ideal for operations in complex and dynamic environments. However, achieving precise…

Robotics · Computer Science 2025-10-30 Luis F. Recalde , Dhruv Agrawal , Jon Arrizabalaga , Guanrui Li

Improving sampling efficiency and generalization capability is critical for the successful data-driven control of quadrotor unmanned aerial vehicles (UAVs) that are inherently unstable. While various reinforcement learning (RL) approaches…

Robotics · Computer Science 2025-03-03 Beomyeol Yu , Taeyoung Lee

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

The quadrotor unmanned aerial vehicle is a great platform for control systems research as its nonlinear nature and under-actuated configuration make it ideal to synthesize and analyze control algorithms. After a brief explanation of the…

Systems and Control · Computer Science 2016-02-09 Andrew Zulu , Samuel John

Quadrotors have demonstrated remarkable versatility, yet their full aerobatic potential remains largely untapped due to inherent underactuation and the complexity of aggressive maneuvers. Traditional approaches, separating trajectory…

Robotics · Computer Science 2025-06-02 Zhichao Han , Xijie Huang , Zhuxiu Xu , Jiarui Zhang , Yuze Wu , Mingyang Wang , Tianyue Wu , Fei Gao

Understanding the optimization landscape of linear quadratic regulation (LQR) problems is fundamental to the design of efficient reinforcement learning solutions. Recent work has made significant progress in characterizing the landscape of…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Jingliang Duan , Jie Li , Yinsong Ma , Liye Tang , Guofa Li , Liping Zhang , Shengbo Eben Li , Lin Zhao

Current research suggests the use of a liner quadratic performance index for optimal control of regulators in various applications. Some examples include correcting the trajectory of rocket and air vehicles, vibration suppression of…

General Mathematics · Mathematics 2007-05-23 Alexander Bolonkin , Robert Sierakowski

Flying quadrotors in tight formations is a challenging problem. It is known that in the near-field airflow of a quadrotor, the aerodynamic effects induced by the propellers are complex and difficult to characterize. Although machine…

Robotics · Computer Science 2024-10-15 Kong Yao Chee , Pei-An Hsieh , George J. Pappas , M. Ani Hsieh

Quadrotor systems are common and beneficial for many fields, but their intricate behavior often makes it challenging to design effective and optimal control strategies. Some traditional approaches to nonlinear control often rely on local…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Zeyad M. Manaa , Ayman M. Abdallah , Mohammad A. Abido , Syed S. Azhar Ali

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

Quadrotor unmanned aerial vehicles have a limited quantity of embedded energy. To preserve and guaranty the success of the UAV mission, we should manage energy consumption during the mission. In this study we introduce an optimization…

Robotics · Computer Science 2020-04-02 Fouad Yacef , Nassim Rizoug , Laid Degaa

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

As quadrotors take on an increasingly diverse range of roles, researchers often need to develop new hardware platforms tailored for specific tasks, introducing significant engineering overhead. In this article, we introduce the UniQuad…

Robotics · Computer Science 2024-07-08 Yichen Zhang , Xinyi Chen , Peize Liu , Junzhe Wang , Hetai Zou , Neng Pan , Fei Gao , Shaojie Shen

In this paper we propose a computational design tool that al-lows end-users to create advanced quadrotor trajectories witha variety of application scenarios in mind. Our algorithm al-lows novice users to create quadrotor based use-cases…

Human-Computer Interaction · Computer Science 2019-06-28 Christoph Gebhardt , Benjamin Hepp , Tobias Naegeli , Stefan Stevsic , Otmar Hilliges

Autonomous missions of small unmanned aerial vehicles (UAVs) are prone to collisions owing to environmental disturbances and localization errors. Consequently, a UAV that can endure collisions and perform recovery control in critical aerial…

Robotics · Computer Science 2024-06-04 Karishma Patnaik , Shatadal Mishra , Zachary Chase , Wenlong Zhang

Flying robots such as the quadrotor could provide an efficient approach for medical treatment or sensor placing of wild animals. In these applications, continuously targeting the moving animal is a crucial requirement. Due to the…

Robotics · Computer Science 2024-04-16 Ziying Lin , Wei Dong , Sensen Liu , Xinjun Sheng , Xiangyang Zhu

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
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