Special orthogonal group SO (3), euler angles, angle-axis, rodriguez vector and unit-quaternion: Overview, mapping and challenges

HA Hashim - arXiv preprint arXiv:1909.06669, 2019 - arxiv.org
The attitude of a rigid-body in the three dimensional space has a unique and global
definition on the Special Orthogonal Group SO (3). This paper gives an overview of the …

Rigid-body attitude control

NA Chaturvedi, AK Sanyal… - IEEE control systems …, 2011 - ieeexplore.ieee.org
Rigid-body attitude control is motivated by aerospace applications that involve attitude
maneuvers or attitude stabilization. The set of attitudes of a rigid body is the set of 3 X 3 …

Attitude stabilization of a VTOL quadrotor aircraft

A Tayebi, S McGilvray - IEEE Transactions on control systems …, 2006 - ieeexplore.ieee.org
In this paper, we propose a new quaternion-based feedback control scheme for exponential
attitude stabilization of a four-rotor vertical takeoff and landing aerial robot known as a …

A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

SP Bhat, DS Bernstein - Systems & control letters, 2000 - Elsevier
We show that a continuous dynamical system on a state space that has the structure of a
vector bundle on a compact manifold possesses no globally asymptotically stable …

Trajectory tracking control design with command-filtered compensation for a quadrotor

Z Zuo - IET control theory & applications, 2010 - IET
The design of a flight control system capable of not only stabilising attitude but also tracking
a trajectory accurately for an under-actuated quadrotor aircraft is quite challenging. This …

Super twisting control algorithm for the attitude tracking of a four rotors UAV

L Derafa, A Benallegue, L Fridman - Journal of the Franklin Institute, 2012 - Elsevier
This paper deals with the design and implementation of a nonlinear control algorithm for the
attitude tracking of a four-rotor helicopter known as quadrotor. This algorithm is based on the …

Quaternion-based hybrid control for robust global attitude tracking

CG Mayhew, RG Sanfelice… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
It is well known that controlling the attitude of a rigid body is subject to topological
constraints. We illustrate, with examples, the problems that arise when using continuous and …

Robust Adaptive Attitude Tracking on With an Application to a Quadrotor UAV

T Lee - IEEE Transactions on Control Systems Technology, 2012 - ieeexplore.ieee.org
This brief describes robust adaptive tracking control systems for the attitude dynamics of a
rigid body. Both the attitude dynamics and the proposed control system are globally …

Full quaternion based attitude control for a quadrotor

E Fresk, G Nikolakopoulos - 2013 European control conference …, 2013 - ieeexplore.ieee.org
The aim of this article is to present a novel quaternion based control scheme for the attitude
control problem of a quadrotor. A quaternion is a hyper complex number of rank 4 that can …

Attitude tracking of rigid spacecraft with bounded disturbances

Y Xia, Z Zhu, M Fu, S Wang - IEEE Transactions on Industrial …, 2010 - ieeexplore.ieee.org
The problem of attitude control for a spacecraft model that is nonlinear in dynamics with
inertia uncertainty and external disturbance has been investigated. Adaptive law and …