Synchronization of Lu and Bhalekar-Gejji chaotic systems using sliding mode control

Author

Singh, Jay Prakash ; Singh, Piyush Pratap ; Roy, B.K.

Author_Institution

Dept. of Electr. Eng., NIT Silchar, Silchar, India

fYear

2014

fDate

27-28 Feb. 2014

Firstpage

1

Lastpage

5

Abstract

In this paper synchronization of two different chaotic systems is proposed using Sliding Mode Control scheme. Lu chaotic system is used as master system and Bhalekar-Gejji chaotic system is used as slave system. Convergence of the synchronizing error is achieved using the Lyapunov stability theory. Synchronization of master and slave system is achieved using the PI (Proportional-Integral) switching surface of the sliding mode control scheme. Finally, numerical simulations are proposed to demonstrate the effectiveness of proposed synchronization strategy.

Keywords

Lyapunov methods; PI control; chaos; convergence; nonlinear control systems; stability; synchronisation; variable structure systems; Bhalekar-Gejji chaotic systems; Lu chaotic systems; Lyapunov stability theory; PI switching surface; chaotic system synchronization; master slave system synchronization; proportional-integral switching surface; sliding mode control; synchronizing error convergence; Chaotic communication; Lyapunov methods; Sliding mode control; Switches; Synchronization; Chaotic System Synchronization; Lyapunov Theory; PI Control; Sliding Mode Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Communication and Embedded Systems (ICICES), 2014 International Conference on

Conference_Location

Chennai

Print_ISBN

978-1-4799-3835-3

Type

conf

DOI

10.1109/ICICES.2014.7034171

Filename

7034171