Non-certainty-equivalent adaptive control of chaos in Lorenz system

Author(s):  
Keum W. Lee ◽  
Sahjendra N. Singh
2004 ◽  
Vol 14 (04) ◽  
pp. 1439-1445 ◽  
Author(s):  
S. S. GE

In this letter, we reconsider the problem of controlling chaos in the well-known Lorenz system. Firstly, the difficulty in controlling the Lorenz system is discussed in the general strict-feedback form. Then, singularity-free adaptive control is presented for the Lorenz system with three key parameters unknown by exploiting the physical property of the system using decoupled backstepping design. The proposed controller guarantees the asymptotic convergence of the output and the boundedness of all the signals in the closed-loop system. Simulation results are conducted to show the effectiveness of the approach.


2002 ◽  
Vol 13 (4) ◽  
pp. 767-780 ◽  
Author(s):  
Shyi-Kae Yang ◽  
Chieh-Li Chen ◽  
Her-Terng Yau

10.5772/16144 ◽  
2011 ◽  
Author(s):  
Hassan Salarieh ◽  
Mohammad Shahrokhi

2008 ◽  
pp. 129-157
Author(s):  
Alexander Fradkov ◽  
Alexander Pogromsky

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