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An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The 3D flight control of a flapping wing robot is a very challenging problem. The robot stabilizes and controls its pose through the aerodynamic forces acting on the wing membrane which has complex dynamics and it is difficult to develop a…

Robotics · Computer Science 2024-05-10 Bibek Gupta , Yogi Shah , Taoran Liu , Eric Sihite , Alireza Ramezani

We investigate the effect of wing twist flexibility on lift and efficiency of a flapping-wing micro air vehicle capable of liftoff. Wings used previously were chosen to be fully rigid due to modeling and fabrication constraints. However,…

Fluid Dynamics · Physics 2020-02-03 David Colmenares , Randall Kania , Wang Zhang , Metin Sitti

Thermal soaring saves much energy, but flying large distances in this form represents a great challenge for birds, people and Unmanned Aerial Vehicles (UAVs). The solution is to make use of so-called thermals, which are localized, warmer…

Biological Physics · Physics 2010-12-03 Zsuzsa Ákos , Máté Nagy , Severin Leven , Tamás Vicsek

Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Optimal control mainly relies on quadratic Lagrangians and the…

Optimization and Control · Mathematics 2024-10-10 Cédric Join , Emmanuel Delaleau , Michel Fliess

The autonomous operation of flexible-wing aircraft is technically challenging and has never been presented within literature. The lack of an exact modeling framework is due to the complex nonlinear aerodynamic relationships governed by the…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Mohammed Abouheaf , Nathaniel Mailhot , Wail Gueaieb , Davide Spinello

Morphing aerial vehicles offer enhanced maneuverability and fuel efficiency compared to fixed-wing configurations. However, the trade-off between performance gains and control cost in dynamic, unsteady maneuvers remains under-explored. This…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Subarna Pudasaini , Parker Smith , Daning Huang

Left-invariant optimal control problems on Lie groups form an important class of problems with big symmetry group. They are interesting from the theoretical point of view since they often can be completely studied, and general features can…

Optimization and Control · Mathematics 2021-05-18 Yuri Sachkov

This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hector Garcia de Marina

This paper participates in the development of a unified approach to the control of aerial vehicles with extended flight envelopes. More precisely, modeling for control purposes of a class of thrust-propelled aerial vehicles subjected to…

Systems and Control · Computer Science 2012-12-10 Daniele Pucci , Tarek Hamel , Pascal Morin , Claude Samson

This paper presents a Genetic Algorithm (GA) designed to reconfigure a large group of modular Unmanned Aerial Vehicles (UAVs), each with different weights and inertia parameters, into an over-actuated flight structure with improved dynamic…

Robotics · Computer Science 2024-07-08 Yao Su , Ziyuan Jiao , Zeyu Zhang , Jingwen Zhang , Hang Li , Meng Wang , Hangxin Liu

In this paper we investigate a variational discretization for the class of mechanical systems in presence of symmetries described by the action of a Lie group which reduces the phase space to a (non-trivial) principal bundle. By introducing…

Dynamical Systems · Mathematics 2018-07-17 Anthony Bloch , Leonardo Colombo , Fernando Jiménez

This paper presents the mathematical modeling, controller design, and flight-testing of an over-actuated Vertical Take-off and Landing (VTOL) tiltwing Unmanned Aerial Vehicle (UAV). Based on simplified aerodynamics and first-principles, a…

Systems and Control · Computer Science 2019-05-07 David Rohr , Thomas Stastny , Sebastian Verling , Roland Siegwart

his paper reviews modern geometrical dynamics and control of humanoid robots. This general Lagrangian and Hamiltonian formalism starts with a proper definition of humanoid's configuration manifold, which is a set of all robot's active joint…

Adaptation and Self-Organizing Systems · Physics 2011-05-17 Vladimir G. Ivancevic , Tijana T. Ivancevic

Aerial manipulator, which is composed of an UAV (Unmanned Aerial Vehicle) and a multi-link manipulator and can perform aerial manipulation, has shown great potential of applications. However, dynamic coupling between the UAV and the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yuqing He , Bo Dai , Feng Gu , Jianda Han , Guangjun Liu

Fixed-wing unmanned aerial vehicles (UAVs) offer significant performance advantages over rotary-wing UAVs in terms of speed, endurance, and efficiency. However, these vehicles have traditionally been severely limited with regards to…

Robotics · Computer Science 2020-01-31 Max Basescu , Joseph Moore

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

Robotics · Computer Science 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

Incorporating prior knowledge of physics laws and structural properties of dynamical systems into the design of deep learning architectures has proven to be a powerful technique for improving their computational efficiency and…

Robotics · Computer Science 2023-05-16 Valentin Duruisseaux , Thai Duong , Melvin Leok , Nikolay Atanasov

Flying vertebrates exhibit sophisticated wingbeat kinematics. Their specialized forelimbs allow for the wing morphing motion to couple with the flapping motion during their level flight, Previous flyable bionic platforms have successfully…

Robotics · Computer Science 2022-08-09 Ang Chen , Bifeng Song , Zhihe Wang , Dong Xue , Kang Liu

The purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems on Lie groups. In this context, the equations for critical trajectories of the problem are…

Optimization and Control · Mathematics 2014-06-16 L. Abrunheiro , M. Camarinha
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