Computing adaptive backstepping control law using computer algebra systems

2006 ◽  
Author(s):  
Francesc Pozo ◽  
Faycal Ikhouane
Keyword(s):  
Computer Algebra ◽  
Backstepping Control ◽  
Computer Algebra Systems ◽  
Control Law ◽  
Adaptive Backstepping ◽  
Adaptive Backstepping Control

Non-linear flight control for unmanned aerial vehicles using adaptive backstepping based on invariant manifolds

2012 ◽  
Vol 227 (1) ◽  
pp. 33-44 ◽  
Author(s):  
Jiaming Zhang ◽  
Qing Li ◽  
Nong Cheng ◽  
Bin Liang
Keyword(s):  
Unmanned Aerial Vehicles ◽  
Invariant Manifolds ◽  
Backstepping Control ◽  
Linear Estimator ◽  
Control Law ◽  
Adaptive Backstepping ◽  
Adaptive Backstepping Control ◽  
Aerial Vehicles ◽  
Non Linear ◽  
Aerodynamic Parameters

A novel adaptive backstepping control scheme based on invariant manifolds for unmanned aerial vehicles in the presence of some uncertainties in the aerodynamic coefficients is presented in this article. This scheme is used for command tracking of the angle of attack, the sideslip angle, and the bank angle of the aircraft. The control law has a modular structure, which consists of a control module and a recently developed non-linear estimator. The estimator is based on invariant manifolds, which allows for prescribed dynamics to be assigned to the estimation error. The adaptive backstepping control law combined with the estimator covers the entire flight envelope and does not require accurate aerodynamic parameters. The stability of the whole closed-loop system is analyzed using the Lyapunov stability theory. The full six-degree-of-freedom non-linear model of a small unmanned aerial vehicle is used to demonstrate the effectiveness of the proposed control law. The numerical simulation result shows that this method can yield satisfying command tracking despite some unknown aerodynamic parameters.

Vibration suppression of wind turbine nacelle with active electromagnetic mass damper systems using adaptive backstepping control

2021 ◽  
pp. 107754632199887
Author(s):  
Sinan Basaran ◽  
Fevzi Cakmak Bolat ◽  
Selim Sivrioglu
Keyword(s):  
Vibration Suppression ◽  
Controller Design ◽  
Wind Load ◽  
Backstepping Control ◽  
Structural Systems ◽  
Adaptive Backstepping ◽  
Electromagnetic Mass ◽  
Flow Induced Vibration ◽  
Adaptive Backstepping Control ◽  
Mass Damper

Many structural systems, such as wind turbines, are exposed to high levels of stress during operation. This is mainly because of the flow-induced vibrations caused by the wind load encountered in every tall structure. Preventing the flow-induced vibration has been an important research area. In this study, an active electromagnetic mass damper system was used to eliminate the vibrations. The position of the stabilizer mass in the active electromagnetic mass damper system was determined according to the displacement information read on the system without using any spring element, unlike any conventional system. The proposed system in this study has a structure that can be implemented as a vibration suppressor in many intelligent structural systems. Two opposing electromagnets were used to determine the instant displacement of the stabilizer mass. The control currents to be given to these electromagnets are determined by using an adaptive backstepping control design. The adaptive controller algorithm can predict the wind load used in the controller design without prior knowledge of the actual wind load. It was observed that the designed active electromagnetic mass damper structure is successful in suppressing system vibrations. As a result, the proposed active electromagnetic mass damper system has been shown to be suitable for structural systems in flow-induced vibration damping.

Sign in / Sign up

Export Citation Format

Share Document