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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/19/6/060504

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

王兴元¹, 解相朋², 张化光³

(1)School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China; (2)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (3)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China;Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China

收稿日期:2009-10-13 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
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).

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

Zhang Hua-Guang(张化光)^{a) b)†ger}, Xie Xiang-Peng(解相朋)^a)‡, and Wang Xing-Yuan(王兴元)^c)

^a School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; ^b Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China; ^c School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China

Received:2009-10-13 Online:2010-06-15 Published:2010-06-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: chaotic system, Takagi--Sugeno fuzzy model, convergent stabilization conditions, edgewise subdivision

中图分类号: (Neural networks, fuzzy logic, artificial intelligence)

07.05.Mh

05.45.Gg (Control of chaos, applications of chaos) 07.05.Dz (Control systems)

张化光, 解相朋, 王兴元. Convergent robust stabilization conditions for fuzzy chaotic systems based on the edgewise subdivision approach[J]. 中国物理B, 2010, 19(6): 60504-060504.

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[J]. Chin. Phys. B, 2010, 19(6): 60504-060504.

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

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

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