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This paper presents two approaches to obtain the dynamical equations of mobile manipulators using dual quaternion algebra. The first one is based on a general recursive Newton-Euler formulation and uses twists and wrenches, which are…

Robotics · Computer Science 2022-10-04 Frederico F. A. Silva , Juan J. Quiroz-Omaña , Bruno V. Adorno

Regardless of the long history of gauge theories, it is not well recognized under which condition gauge fixing at the action level is legitimate. We address this issue from the Lagrangian point of view, and prove the following theorem on…

General Relativity and Quantum Cosmology · Physics 2016-12-19 Hayato Motohashi , Teruaki Suyama , Kazufumi Takahashi

This paper addresses the trajectory tracking control problem for underactuated VTOL UAVs. According to the different actuation mechanisms, the most common UAV platforms can achieve only a partial decoupling of attitude and position tasks.…

Optimization and Control · Mathematics 2019-04-11 Davide Invernizzi , Marco Lovera , Luca Zaccarian

We study an in-flight actuator failure recovery problem for a hexrotor UAV. The hexrotor may experience external disturbances and modeling error, which are accounted for in the control design and distinguished from an actuator failure. A…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Connor J. Boss , Vaibhav Srivastava

We present an efficient variational integrator for multibody systems. Variational integrators reformulate the equations of motion for multibody systems as discrete Euler-Lagrange (DEL) equations, transforming forward integration into a…

Robotics · Computer Science 2018-02-06 Jeongseok Lee , C. Karen Liu , Frank C. Park , Siddhartha S. Srinivasa

We introduce a simple ansatz for the wavefunction of a many-body system based on coupled forward and backward-propagating semiclassical trajectories. This method is primarily aimed at, but not limited to, treating nonequilibrium dynamics in…

Chemical Physics · Physics 2018-05-01 Shunsuke A. Sato , Aaron Kelly , Angel Rubio

We put forward the following, physically motivated premise for constructing a theory that underlies the standard model in four-dimensional space-time: The Euler-Lagrange equations of such a theory formally resemble some equations of motion…

High Energy Physics - Theory · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

In this work, we examine a spectrum of hybrid model for the domain of multi-body robot dynamics. We motivate a computation graph architecture that embodies the Newton Euler equations, emphasizing the utility of the Lie Algebra form in…

Robotics · Computer Science 2020-10-21 Michael Lutter , Johannes Silberbauer , Joe Watson , Jan Peters

Knowledge-based leader-following synchronization of heterogeneous nonlinear multi-agent systems is a challenging problem since the leader's dynamic information is unknown to any follower node. This paper proposes a learning-based fully…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Shimin Wang , Xiangyu Meng , Hongwei Zhang , Frank L. Lewis

We present a novel, high-performance attitude control law for multicopters, with a view to recovery from large disturbances. The controller is compared to three well-established alternatives from the literature. All controllers considered…

Robotics · Computer Science 2018-02-27 Mark Wilfried Mueller

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

It is widely recognized that the existing parameter estimators and adaptive controllers for robot manipulators are extremely complicated to be of practical use. This is mainly due to the fact that the existing parameterization includes the…

Dynamical Systems · Mathematics 2021-06-16 Jose Guadalupe Romero , Romeo Ortega , Alexey Bobtsov

This paper presents a simulation framework able of modeling the dynamics of a hanging tether with adjustable length, connecting a UAV to a UGV. The model incorporates the interaction between the UAV, UGV, and a winch, allowing for dynamic…

Robotics · Computer Science 2025-07-29 Jose Enrique Maese , Fernando Caballero , Luis Merino

This paper enhances the feedback linearization controller for multirotors with a learned acceleration error model and a thrust input delay mitigation model. Feedback linearization controllers are theoretically appealing but their…

Robotics · Computer Science 2021-12-15 Alexander Spitzer , Nathan Michael

An invertible field transformation is such that the old field variables correspond one-to-one to the new variables. As such, one may think that two systems that are related by an invertible transformation are physically equivalent. However,…

General Relativity and Quantum Cosmology · Physics 2017-05-01 Kazufumi Takahashi , Hayato Motohashi , Teruaki Suyama , Tsutomu Kobayashi

This paper introduces a new multi-model predictive control (MMPC) method for quadrotor attitude control with performance nearly on par with nonlinear model predictive control (NMPC) and computational efficiency similar to linear model…

Robotics · Computer Science 2024-06-25 Mohammadreza Izadi , Zeinab Shayan , Reza Faieghi

Scaling symmetries of the Euler-Lagrange equations are generally not variational symmetries of the action and do not lead to conservation laws. Nevertheless, by an extension of Noether's theorem, scaling symmetries lead to useful {\em…

Classical Physics · Physics 2016-09-08 Sidney Bludman , Dallas C. Kennedy

This paper proposes a fault-tolerant control strategy based on a tilt-rotor quadcopter prototype, utilizing nonlinear model predictive control to maintain both attitude and position stability in the event of rotor failure. The control…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Yanchao Wang , Xu You , Mehdi Baghdadi

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

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff
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