Convergent robust stabilization conditions for fuzzy chaotic systems based on the edgewise subdivision approach

doi:10.1088/1674-1056/19/6/060504

Abstract This paper concerns the problem of stabilizing fuzzy chaotic systems via the viewpoint of the edgewise subdivision approach. Firstly, a new edgewise subdivision algorithm is proposed to implement the simplex edgewise subdivision which divides the overall fuzzy chaotic systems into a lot of sub-systems by a kind of algebraic description. These sub-systems have the same volume and shape characteristics. Secondly, a novel kind of control scheme which switches by the transfer of different operating sub-systems is proposed to achieve convergent stabilization conditions for the underlying controlled fuzzy chaotic systems. Finally, a numerical example is given to demonstrate the validity of the proposed methods.

Keywords: chaotic system Takagi--Sugeno fuzzy model convergent stabilization conditions edgewise subdivision

Received: 13 October 2009
Accepted manuscript online:

PACS:	07.05.Mh	(Neural networks, fuzzy logic, artificial intelligence)
	05.45.Gg	(Control of chaos, applications of chaos)
	07.05.Dz	(Control systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~50977008, 60774048 and 60821063), the Program for Cheung Kong Scholars and National Basic Research Program of China (Grant No.~2009CB320601).

Cite this article:

Zhang Hua-Guang(张化光), Xie Xiang-Peng(解相朋), and Wang Xing-Yuan(王兴元) Convergent robust stabilization conditions for fuzzy chaotic systems based on the edgewise subdivision approach 2010 Chin. Phys. B 19 060504

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Convergent robust stabilization conditions for fuzzy chaotic systems based on the edgewise subdivision approach

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