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This article investigates the modeling and control of Lagrangian systems involving non-conservative forces using a hybrid method that does not require acceleration calculations. It focuses in particular on the derivation and identification…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Ibrahim Laiche , Mokrane Boudaoud , Patrick Gallinari , Pascal Morin

Solving quaternion kinematical differential equations is one of the most significant problems in the automation, navigation, aerospace and aeronautics literatures. Most existing approaches for this problem neither preserve the norm of…

Systems and Control · Computer Science 2016-10-26 Hong-Yan Zhang , Lu-Sha Zhou , Zi-Hao Wang , Long Ma , Yi-Fan Niu

We develop a geometric framework for the numerical integration of mechanical systems evolving on manifolds. After briefly reviewing classical numerical methods and highlighting their limitations and shortcomings in non-flat (non-Euclidean)…

General Mathematics · Mathematics 2026-03-30 Viyom Vivek , David Martin de Diego , Ravi N. Banavar

This study presents a comprehensive mathematical framework for modeling the flight dynamics of a six-degree-of-freedom fixed-wing aircraft as a rigid body with three control surfaces: rudder, elevators, and ailerons. The framework consists…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Osama A. Marzouk

Euler's equation relates the change in angular momentum of a rigid body to the applied torque. This paper fills a gap in the literature by using Lagrangian dynamics to derive Euler's equation in terms of generalized coordinates. This is…

Dynamical Systems · Mathematics 2023-08-21 Dennis S. Bernstein , Ankit Goel , Omran Kouba

Aerial manipulators, composed of multirotors and robotic arms, have a structure and function highly reminiscent of avian species. This paper studies the tracking control problem for aerial manipulators. This paper studies the tracking…

Robotics · Computer Science 2024-11-19 Mengyu Ji , Jiahao Shen , Huazi Cao , Shiyu Zhao

Several aspects of the connection between conserved integrals (invariants) and symmetries are illustrated within a hybrid Lagrangian-Hamiltonian framework for dynamical systems. Three examples are considered: a nonlinear oscillator with…

Mathematical Physics · Physics 2026-03-30 Stephen C. Anco

A new fully kinetic system is proposed for modeling collisionless magnetic reconnection. The formulation relies on fundamental principles in Lagrangian dynamics, in which the inertia of the electron mean flow is neglected in the expression…

Plasma Physics · Physics 2013-01-29 Cesare Tronci

We consider the aeroelastic simulation of flexible mechanical structures submerged in subsonic fluid flows at low Mach numbers. The nonlinear kinematics of flexible bodies are described in the total Lagrangian formulation and discretized by…

Numerical Analysis · Mathematics 2024-03-25 Jenny Schubert , Marc C. Steinbach , Christian Hente , David Märtins , Daniel Schuster

In this paper a novel aerial manipulation system is proposed. The mechanical structure of the system, the number of thrusters and their geometry will be derived from technical optimization problems. The aforementioned problems are defined…

Robotics · Computer Science 2015-02-27 Alexandros Nikou , Georgios C. Gavridis , Kostas J. Kyriakopoulos

Stable concurrent learning and control of dynamical systems is the subject of adaptive control. Despite being an established field with many practical applications and a rich theory, much of the development in adaptive control for nonlinear…

Optimization and Control · Mathematics 2023-10-03 Nicholas M. Boffi , Jean-Jacques E. Slotine

In this paper, a new under-actuated Bi-Quadcopter Unmanned Aerial Vehicle is introduced. The proposed drone configuration can be controlled similar to a Bicopter. The dynamics of the proposed Bi-Quadcopter is developed using the…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Vijay Reddy Vundela , Vijay Muralidharan

This paper presents a novel design for finite-time position control of quadrotor Unmanned Aerial Vehicles (UAVs). A robust, finite-time, nonlinear feedback controller is introduced to reject bounded disturbances in tracking tasks. The…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Ali M. Ali , Hashim A. Hashim , Awantha Jayasiri

This paper presents a port-Hamiltonian formulation of vehicle-manipulator systems (VMS), a broad class of robotic systems including aerial manipulators, underwater manipulators, space robots, and omnidirectional mobile manipulators. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Ramy Rashad

In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the Euler-Lagrange equation, of the Hamilton principle, a…

Mathematical Physics · Physics 2026-02-03 Sergio Giardino

Modeling the kinematics and dynamics of robotics systems with suspended loads using dual quaternions has not been explored so far. This paper introduces a new innovative control strategy using dual quaternions for UAVs with cable-suspended…

Robotics · Computer Science 2024-04-12 Yuxia Yuan , Markus Ryll

In this paper, the dynamic modeling of a seven linked humanoid robot, is accurately developed, in the three dimensional space using the Newton-Euler formalism. The aim of this study is to provide a clear and a systematic approach so that…

Robotics · Computer Science 2014-05-13 Amira Aloulou , Olfa Boubaker

Unmanned Aerial Vehicles (UAV) have emerged as versatile platforms, driving the demand for accurate modeling to support developmental testing. This paper proposes data-driven modeling software for UAV. Emphasizes the utilization of…

Aerial manipulation aims at combining the manoeuvrability of aerial vehicles with the manipulation capabilities of robotic arms. This, however, comes at the cost of the additional control complexity due to the coupling of the dynamics of…

Robotics · Computer Science 2020-06-04 Dimos Tzoumanikas , Felix Graule , Qingyue Yan , Dhruv Shah , Marija Popovic , Stefan Leutenegger

This paper presents a new approach to accurately simulating 3D overhead cranes with friction. Although nonlinear friction dynamics has a significant impact on these systems, accurately modeling this phenomenon in simulations is a…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jorge Vicente-Martinez , Edgar Ramirez-Laboreo