Title :
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
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;
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
DOI :
10.1109/ICEIT.2010.5607677