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We study the problem of motion feasibility for multiagent control systems on Lie groups with collision avoidance constraints. We first consider the problem for kinematic left invariant control systems and next, for dynamical control systems…

Systems and Control · Computer Science 2019-06-19 Leonardo J. Colombo , Dimos V. Dimarogonas

UAV collective motion has become a hot research topic in recent years. The realization of UAV collective motion, however, relied heavily on centralized control method and suffered from instability. Inspired by bird flocking theory, a…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Xiyuan Liu , Li Qiu

We study experimentally a four-winged flapping flyer with chord-wise flexible wings in a self-propelled setup. For a given physical configuration of the flyer (i.e. fixed distance between the forewing and hindwing pairs and fixed wing…

Fluid Dynamics · Physics 2017-10-03 Ramiro Godoy-Diana , Prasann Jain , Mariana Centeno , Alexis Weinreb , Benjamin Thiria

The paper discusses various aspects of time-optimal control of quantum spin systems, modelled as right-invariant systems on a compact Lie group G. The main results are the reduction of such a system to an equivalent system on a homogeneous…

Quantum Physics · Physics 2007-05-23 Jan Swoboda

Achieving precise, highly-dynamic maneuvers with Unmanned Aerial Vehicles (UAVs) is a major challenge due to the complexity of the associated aerodynamics. In particular, unsteady effects -- as might be experienced in post-stall regimes or…

Robotics · Computer Science 2023-08-07 Gino Perrotta , Luca Scheuer , Yocheved Kopel , Max Basescu , Adam Polevoy , Kevin Wolfe , Joseph Moore

Attitude tracking on the unit sphere of dimension $3$ based on sliding mode is considered in this paper. The tangent bundle of Lagrangian dynamics that describes the rotational motion of a rigid body is first shown to be a Lie group, and…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Eduardo Espindola , Yu Tang

Tried-and-true flapping wing robot simulation is essential in developing flapping wing mechanisms and algorithms. This paper presents a novel application-oriented flapping wing platform, highly compatible with various mechanical designs and…

Robotics · Computer Science 2023-03-09 Chen Qian , Yongchun Fang , Fan jia , Jifu Yan , Yiming Liang , Tiefeng Li

Hybrid unmanned aerial vehicles (UAVs) integrate the efficient forward flight of fixed-wing and vertical takeoff and landing (VTOL) capabilities of multicopter UAVs. This paper presents the modeling, control and simulation of a new type of…

Robotics · Computer Science 2026-01-27 Quan Quan , Wang Shuai , Gao Wenhan

Tail bending associated with maneuvering flight of insects is a known phenomenon although there are only a few studies which analyze and quantify the effects and benefits of body configuration changes. We hypothesized that these…

Biological Physics · Physics 2017-07-26 Ayodeji T. Bode-Oke , Samane Zeyghami , Haibo Dong

In this work we deal with the optimal design and optimal control of structures undergoing large rotations. In other words, we show how to find the corresponding initial configuration and the corresponding set of multiple load parameters in…

Neural and Evolutionary Computing · Computer Science 2009-02-10 A. Ibrahimbegovic , C. Knopf-Lenoir , A. Kucerova , P. Villon

In this paper, we describe a geometric setting for higher-order lagrangian problems on Lie groups. Using left-trivialization of the higher-order tangent bundle of a Lie group and an adaptation of the classical Skinner-Rusk formalism, we…

Mathematical Physics · Physics 2011-04-19 Leonardo Colombo , David Martin de Diego

In this paper, we consider the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV) Base Station (BS). We consider a map characterized by a traffic intensity of users to be served. The UAV BS must travel from a given…

Optimization and Control · Mathematics 2018-12-21 Marceau Coupechoux , Jérôme Darbon , Jean-Marc Kélif , Marc Sigelle

We extend the Euler Poincare formalism from Lie groups to Lie groupoids for optimal control problems. While Lie algebroids provide the standard infinitesimal framework, the groupoid formulation enables global trajectory reconstruction and…

Dynamical Systems · Mathematics 2026-05-26 Ghorbanali Haghighatdoost

This paper introduces for the first time the design, modelling, and control of a novel morphing multi-rotor Unmanned Aerial Vehicle (UAV) that we call the OmniMorph. The morphing ability allows the selection of the configuration that…

Robotics · Computer Science 2024-02-20 Youssef Aboudorra , Chiara Gabellieri , Ralph Brantjes , Quentin Sablé , Antonio Franchi

We propose a multibody model of a freewing UAV. This model allows obtaining simulations of the UAV's behaviour and, in the future, to design a control law stabilising the entire flight envelope (hovering and forward flight). We also…

Robotics · Computer Science 2024-06-26 Florian Sansou , Gautier Hattenberger , Luca Zaccarian , Fabrice Demourant , Thomas Loquen

This paper considers the motion control of a particle and a spinning disc on rotating earth. The equations of motion are derived using Lagrangian mechanics. Trajectory planning is studied as an optimization problem using the method referred…

Fluid Dynamics · Physics 2012-10-25 Fangxu Jing , Eva Kanso , Paul K. Newton

The dynamical response of an aircraft subject to gust perturbations is a key element in a preliminary design phase. In particular, the loads induced by gusts along the wing should not exceed some limit values and should even ideally be…

Systems and Control · Electrical Eng. & Systems 2021-07-05 Pierre Vuillemin , David Quero Martin , Charles Poussot-Vassal

Fluidic locomotion of flapping Micro Aerial Vehicles (MAVs) can be very complex, particularly when the rules from insect flight dynamics (fast flapping dynamics and light wings) are not applicable. In these situations, widely used averaging…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Paul Ghanem , Yunus Bicer , Deniz Erdogmus , Alireza Ramezani

In this paper, a novel design scheme is introduced to solve the optimal control problem for nonlinear systems with unsymmetrical and state-dependent input constraints. By introducing an initial stabilizing control policy as the baseline of…

Systems and Control · Electrical Eng. & Systems 2022-11-18 Yangguang Yu , Xiangke Wang , Zhiyong Sun , Lincheng Shen

This article presents a new control approach and a dynamic model for engineered flapping flight with many interacting degrees of freedom. This paper explores the applications of neurobiologically inspired control systems in the form of…

Optimization and Control · Mathematics 2011-08-05 Soon-Jo Chung , Michael Dorothy