Circular orbit transfer employing recursive nonlinear state transformations and nonlinear feedback

Author(s):  
Parisa Khosravi ◽  
Robert H. Bishop
2003 ◽  
Vol 13 (10) ◽  
pp. 3099-3106 ◽  
Author(s):  
WALLACE K. S. TANG ◽  
G. Q. ZHONG

A nonlinear state feedback controller is proposed for the generation of chaos in third-order linear autonomous continuous time systems. With a simple feedback controller of the form g(x)=βx|x|, chaotic dynamics can be observed. Bifurcation analysis and the verification of the existence of chaos are given based on numerical continuation techniques and the Shil'nikov theorem. Both computer simulation and circuit implementation demonstrate the chaotification effect of this simple feedback controller.


2008 ◽  
Vol 31 (4) ◽  
pp. 1014-1027 ◽  
Author(s):  
Yoshihiro Ichimura ◽  
Akira Ichikawa

2011 ◽  
Vol 34 (5) ◽  
pp. 1329-1341 ◽  
Author(s):  
Ryo Jifuku ◽  
Akira Ichikawa ◽  
Mai Bando

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