Adaptive backstepping control and synchronization of a modified and chaotic Van der Pol-Duffing oscillator

2011 ◽  
Vol 9 (2) ◽  
pp. 273-277 ◽  
Author(s):  
U. E. Vincent ◽  
R. K. Odunaike ◽  
J. A. Laoye ◽  
A. A. Gbindinninuola
Keyword(s):  
Duffing Oscillator ◽  
Backstepping Control ◽  
Adaptive Backstepping ◽  
Van Der Pol ◽  
Adaptive Backstepping Control ◽  
Control And Synchronization

ADAPTIVE BACKSTEPPING CONTROL OF A CLASS OF CHAOTIC SYSTEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 1149-1156 ◽  
Author(s):  
S. S. GE ◽  
C. WANG ◽  
T. H. LEE
Keyword(s):  
Chaotic Systems ◽  
Reference Model ◽  
Duffing Oscillator ◽  
Feedback System ◽  
Backstepping Control ◽  
Adaptive Backstepping ◽  
Feedback Form ◽  
Adaptive Backstepping Control ◽  
Control Scheme ◽  
Strict Feedback

This paper is concerned with the control of a class of chaotic systems using adaptive backstepping, which is a systematic design approach for constructing both feedback control laws and associated Lyapunov functions. Firstly, we show that many chaotic systems as paradigms in the research of chaos can be transformed into a class of nonlinear systems in the so-called nonautonomous "strict-feedback" form. Secondly, an adaptive backstepping control scheme is extended to the nonautonomous "strict-feedback" system, and it is shown that the output of the nonautonomous system can asymptotically track the output of any known, bounded and smooth nonlinear reference model. Finally, the Duffing oscillator with key constant parameters unknown, is used as an example to illustrate the feasibility of the proposed control scheme. Simulation studies are conducted to show the effectiveness of the proposed method.

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.

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