Complete synchronization between two identical discrete-time 2D hyperchaotic maps via fuzzy method

Author

Miao, Lihua ; Li, Yusheng ; Shen, Xiaoyan ; Song, Fusheng

Author_Institution

Fundamental Teaching Dept. of Comput., Math. & Phys., Shenyang Med. Coll., Shenyang, China

Volume

1

fYear

2010

fDate

17-19 Sept. 2010

Abstract

In this paper, a novel fuzzy synchronization method is proposed to synchronize two identical discrete-time 2D hyperchaotic maps. Firstly, the T-S fuzzy model of the considered discrete-time 2D hyperchaotic map is constructed. The simple T-S fuzzy model with four IF-THEN rules can represent the hyperchaotic map accurately. Then, according to the PDC technique, a simple fuzzy state feedback controller is designed. By choosing appropriate controller gain matrices, the complete synchronization can be reached. Finally, simulation results are given to verify the effectiveness of the proposed fuzzy synchronization method.

Keywords

discrete time systems; feedback; fuzzy set theory; matrix algebra; IF-THEN rules; PDC technique; T-S fuzzy model; controller gain matrices; discrete time 2D hyperchaotic maps; fuzzy state feedback controller; fuzzy synchronization method; 2D hyperchaotic map; T-S fuzzy control; complete synchronization; parallel distributed compensation;

fLanguage

English

Publisher

ieee

Conference_Titel

Educational and Information Technology (ICEIT), 2010 International Conference on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-8033-3

Electronic_ISBN

978-1-4244-8035-7

Type

conf

DOI

10.1109/ICEIT.2010.5607677

Filename

5607677