Synchroniztion of Chaotic Systems Based on Fuzzy Hyperbolic Model

Author

Yang, Dongsheng ; Liu, Zhaobing ; Li, Aiping ; Meng, Ziyi

Author_Institution

Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang

fYear

2009

fDate

28-29 April 2009

Firstpage

1

Lastpage

4

Abstract

This paper develops a fuzzy synchronization method for chaotic continuous-time systems based on a generalized fuzzy hyperbolic model (GFHM). The generalized fuzzy hyperbolic model is used to model nonlinear part of a chaotic system. Based on Lyapunov functional approach, a fuzzy state feedback controller is given. In addition, a sufficient condition for synchronization of two chaotic systems is obtained based on linear matrix inequality techniques. The effectiveness of the proposed method is presented by a simulation example.

Keywords

Lyapunov methods; chaos; continuous time systems; fuzzy control; fuzzy set theory; linear matrix inequalities; nonlinear control systems; state feedback; synchronisation; Lyapunov functional approach; chaotic system; continuous-time system; fuzzy state feedback controller; generalized fuzzy hyperbolic model; linear matrix inequality technique; nonlinear control system; synchronization; Chaos; Chaotic communication; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Information science; Input variables; Linear matrix inequalities; Nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Testing and Diagnosis, 2009. ICTD 2009. IEEE Circuits and Systems International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-2587-7

Type

conf

DOI

10.1109/CAS-ICTD.2009.4960882

Filename

4960882