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Chinese Physics, 2007, Vol. 16(8): 2264-2271    DOI: 10.1088/1009-1963/16/8/018
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Continuous feedback control of KdV Burgers system

Zhang Li-Ping(张丽萍)a) and Xue Ju-Kui(薛具奎)b)
a School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China; b College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract  The chaos in the KdV Burgers equation describing a ferroelectric system has been successfully controlled by using a continuous feedback control. This system has two stationary points. In order to know whether the chaos is controlled or not, the instability of control equation has been analysed numerically. The numerical analysis shows that the chaos can be converted to one point by using one control signal, however, it can converted to the other point by using three control signals. The chaotic motion is converted to two desired stationary points and periodic orbits in numerical experiment separately.
Keywords:  KdV Burgers equation      chaos attractor      stationary points      periodic orbit  
Received:  12 September 2006      Revised:  18 December 2006      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  02.30.Jr (Partial differential equations)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10475066 and 10347006).

Cite this article: 

Zhang Li-Ping(张丽萍) and Xue Ju-Kui(薛具奎) Continuous feedback control of KdV Burgers system 2007 Chinese Physics 16 2264

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