Nussbaum gain adaptive backstepping control of nonlinear strict-feedback systems with unmodeled dynamics and unknown dead zone

2018 ◽  
Vol 28 (17) ◽  
pp. 5326-5343 ◽  
Author(s):  
Hui Ma ◽  
Hongjing Liang ◽  
Hongjun Ma ◽  
Qi Zhou
Keyword(s):  
Dead Zone ◽  
Backstepping Control ◽  
Unmodeled Dynamics ◽  
Feedback Systems ◽  
Adaptive Backstepping ◽  
Adaptive Backstepping Control ◽  
Strict Feedback

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.

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