Synchronization between hyperchaotic systems using PI Based Sliding Mode Control

Author

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

Author_Institution

Dept. of Electr. Eng., Nat. Inst. of Technol. Silchar, Silchar, India

fYear

2014

fDate

3-5 April 2014

Firstpage

424

Lastpage

428

Abstract

In this paper, design of SMC scheme based controller is proposed for synchronization of two different hyperchaotic systems. Synchronization is achieved using the Lyapunov stability theory. A proportional integral (PI) switching surface is used to ensure the stability of the closed-loop error dynamics in sliding motion. This SMC scheme is effective and guarantees the occurrence of sliding motion and achieves synchronization of master hyperchaotic Xu and slave hyperchaotic Lorenz system. Combinations of two different hyperchaotic systems are used for the synchronization reflecting the novelty of paper. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed control strategy.

Keywords

Lyapunov methods; PI control; stability; synchronisation; variable structure systems; Lyapunov stability theory; PI based sliding mode control; SMC scheme; closed loop error dynamics; controller; hyperchaotic systems; master hyperchaotic Xu; numerical simulations; proportional integral switching surface; slave hyperchaotic Lorenz system; sliding motion; synchronization; Chaos; Switches; Chaotic System Synchronization; Hyperchaotic System; Lyapunov Stability Theory; PI; Sliding Mode Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications and Signal Processing (ICCSP), 2014 International Conference on

Conference_Location

Melmaruvathur

Print_ISBN

978-1-4799-3357-0

Type

conf

DOI

10.1109/ICCSP.2014.6949876

Filename

6949876