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

作　　者：张化光 解相朋 王兴元 

机构地区：[1]School of Information Science and Engineering,Northeastern University [2]Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University [3]School of Electronic and Information Engineering,Dalian University of Technology

出　　处：《Chinese Physics B》2010年第6期93-100,共8页中国物理B（英文版）

基　　金：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：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.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.

关 键 词：chaotic system Takagi Sugeno fuzzy model convergent stabilization conditions edgewise subdivision 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]