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We introduce a new class of attitude control laws for rotational systems; the proposed framework generalizes the use of the Euler \mbox{axis--angle} representation beyond quaternion-based formulations. Using basic Lyapunov stability theory…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

We present a switching scheme, which uses both the attitude-error quaternion (AEQ) and the angular-velocity error, for controlling the rotational degrees of freedom of an uncrewed aerial vehicle (UAV) during flight. In this approach, the…

In this paper, we present an autonomous flight controller for a quadcopter with thrust vectoring capabilities. This UAV falls in the category of multirotors with tilt-motion enabled rotors. Since the vehicle considered is over-actuated in…

In this paper, we study the quadrotor UAV attitude control on SO(3) in the presence of unknown disturbances and model uncertainties. L1 adaptive control for UAVs using Euler angles/quaternions is shown to exhibit robustness and precise…

Optimization and Control · Mathematics 2020-03-13 Prasanth Kotaru , Ryan Edmonson , Koushil Sreenath

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 provides new results for a robust adaptive tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid…

Optimization and Control · Mathematics 2011-09-05 Taeyoung Lee

We present a new Lyapunov-based switching attitude controller for energy-efficient real-time selection of the torque inputted to an uncrewed aerial vehicle (UAV) during flight. The proposed method, using quaternions to describe the attitude…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

We present model predictive selection (MPS), a new method for selecting the stable closed-loop (CL) equilibrium attitude-error quaternion (AEQ) of an uncrewed aerial vehicle (UAV) during the execution of high-speed yaw maneuvers. In this…

This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

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

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2017-11-28 Shankar Kulumani , Taeyoung Lee

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding technique and Lyapunov stability theory. The stable embedding…

Optimization and Control · Mathematics 2020-10-06 Wonshick Ko , Karmvir Singh Phogat , Nicolas Petit , Dong Eui Chang

It is quite often claimed, and correctly so, that linear methods cannot achieve global stability results for attitude control, and conversely that nonlinear control is essential in order to achieve (almost) globally stable tracking of…

Optimization and Control · Mathematics 2026-05-26 Yujendra Mitikiri

Despite extensive research on sliding mode control (SMC) design for quadrotors, the existing approaches suffer from certain limitations. Euler angle-based SMC formulations suffer from poor performance in high-pitch or -roll maneuvers.…

Robotics · Computer Science 2025-12-04 Amin Yazdanshenas , Reza Faieghi

This paper proposes a novel quaternion-based approach for tracking the translation (position and linear velocity) and rotation (attitude and angular velocity) trajectories of underactuated Unmanned Aerial Vehicles (UAVs). Quadrotor UAVs are…

Robotics · Computer Science 2024-08-01 Arezo Shevidi , Hashim A. Hashim

This paper presents a novel Lagrangian approach to attitude tracking for rigid spacecraft using unit quaternions, where the motion equations of a spacecraft are described by a four degrees of freedom Lagrangian dynamics subject to a…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Eduardo Espíndola , Yu Tang

We present a model-predictive control (MPC) framework for legged robots that avoids the singularities associated with common three-parameter attitude representations like Euler angles during large-angle rotations. Our method parameterizes…

Robotics · Computer Science 2024-09-18 Zixin Zhang , John Z. Zhang , Shuo Yang , Zachary Manchester

We analyze and experimentally compare various rotational error metrics for use in quadrotor controllers. Traditional quadrotor attitude controllers have used Euler angles or the full rotation to compute an attitude error and scale that to…

Robotics · Computer Science 2020-11-25 Alexander Spitzer , Nathan Michael

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2016-02-16 Shankar Kulumani , Christopher Poole , Taeyoung Lee

This paper presents a novel quaternion-based nonsingular control system for underactuated vertical-take-off and landing (VTOL) Unmanned Aerial Vehicles (UAVs). Position and attitude tracking is challenging regarding singularity and…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Arezo Shevidi , Hashim A. Hashim
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