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This paper provides new results for a robust adaptive tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid…

Optimization and Control · Mathematics 2011-09-05 Taeyoung Lee

This paper presents a static-equilibrium oriented interaction force modeling and control approach of aerial manipulation employing uni-directional thrust (UDT) multirotors interacting with variously defined environments. First, a simplified…

Robotics · Computer Science 2024-08-08 Tong Hui , Matteo Fumagalli

Aerial manipulation (AM) promises to move Unmanned Aerial Vehicles (UAVs) beyond passive inspection to contact-rich tasks such as grasping, assembly, and in-situ maintenance. Most prior AM demonstrations rely on external motion capture…

Robotics · Computer Science 2026-03-05 Yuanzhu Zhan , Yufei Jiang , Muqing Cao , Junyi Geng

This paper presents a new geometric and recursive algorithm for analytically computing the forward dynamics of heavy-duty parallel-serial mechanisms. Our solution relies on expressing the dynamics of a class of linearly-actuated parallel…

Robotics · Computer Science 2024-03-14 Paz Alvaro , Jouni Mattila

Aerial Manipulators (AMs) provide a versatile platform for various applications, including 3D printing, architecture, and aerial grasping missions. However, their operational speed is often sacrificed to uphold precision. Existing control…

Robotics · Computer Science 2025-10-07 Hongming Chen , Biyu Ye , Xianqi Liang , Weiliang Deng , Ximin Lyu

The principle of optimism in the face of uncertainty underpins many theoretically successful reinforcement learning algorithms. In this paper we provide a general framework for designing, analyzing and implementing such algorithms in the…

Machine Learning · Computer Science 2020-07-07 Gergely Neu , Ciara Pike-Burke

We present the first method to directly use a learned continuous Lagrangian to forecast the dynamics of systems governed by partial differential equations, exploiting the inherent conservative structure to achieve stable long-range…

Machine Learning · Computer Science 2026-05-11 Lyra Zhornyak , Eric Forgoston , M. Ani Hsieh

In this paper, first the full dynamics of aerial transportation of a rigid body with arbitrary number of quadrotors is derived. Then a control strategy is proposed to convey the nonuniform rigid body appropriately to the desired trajectory.…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Ali Akbar Rezaei Lori , Mohammad Danesh , Iman Izadi

Accurate dynamics models are critical for aerial manipulators operating under complex tasks such as payload transport. However, modeling these systems remains fundamentally challenging due to strong quadrotor-manipulator coupling, delayed…

Robotics · Computer Science 2026-05-15 Rishabh Dev Yadav , Samaksh Ujjawal , Sihao Sun , Spandan Roy , Wei Pan

We investigate the sequential manipulation planning problem for unmanned aerial manipulators (UAMs). Unlike prior work that primarily focuses on one-step manipulation tasks, sequential manipulations require coordinated motions of a UAM's…

Robotics · Computer Science 2023-07-12 Yao Su , Jiarui Li , Ziyuan Jiao , Meng Wang , Chi Chu , Hang Li , Yixin Zhu , Hangxin Liu

In this paper, we design a theoretical framework allowing to apply model predictive control on hybrid systems. For this, we develop a theory of approximate dynamic programming by leveraging the concept of alternating simulation. We show how…

Optimization and Control · Mathematics 2020-11-24 Benoît Legat , Raphaël M. Jungers , Jean Bouchat

Autonomous docking between Unmanned Aerial Vehicles (UAVs) and ground robots is essential for heterogeneous systems, yet most existing approaches target wheeled platforms whose limited mobility constrains exploration in complex terrains.…

Robotics · Computer Science 2026-03-10 Haozhe Xu , Cheng Cheng , Hongrui Sang , Zhipeng Wang , Qiyong He , Xiuxian Li , Bin He

This paper investigates the differentiable dynamic modeling of mobile manipulators to facilitate efficient motion planning and physical design of actuators, where the actuator design is parameterized by physically meaningful motor geometry…

Robotics · Computer Science 2024-05-03 Zehui Lu , Yebin Wang

We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). The dynamical…

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

This manuscript presents an attempt to introduce Lagrangian formalism for mechanical systems using para-quaternionic Kahler manifolds, which represent an interesting multidisciplinary field of research. In addition to, the…

General Mathematics · Mathematics 2012-09-26 Zeki Kasap , Mehmet Tekkoyun

This dissertation presents nonlinear tracking control systems for quadrotor unmanned aerial vehicles (UAV) under the influence of uncertainties. Assuming that there exist unstructured disturbances in the translational dynamics and the…

Optimization and Control · Mathematics 2015-08-18 Farhad A. Goodarzi

Euler angle representation in biomechanical analysis allows straightforward description of joints rotations. However, application of Euler angles could be limited due to singularity called gimbal lock. Quaternions offer an alternative way…

Medical Physics · Physics 2025-09-08 Ondrej Zoufaly , Edward Chadwick , Dimitra Blana , Matej Daniel

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

The incorporation of appropriate inductive bias plays a critical role in learning dynamics from data. A growing body of work has been exploring ways to enforce energy conservation in the learned dynamics by encoding Lagrangian or…

Robotics · Computer Science 2021-11-15 Yaofeng Desmond Zhong , Biswadip Dey , Amit Chakraborty
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