Synchronization of N different hyperchaotic systems

Author

Tian, Lingling ; Li, Donghai ; Sun, Xianfang

Author_Institution

Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing, China

fYear

2009

fDate

17-19 June 2009

Firstpage

2207

Lastpage

2212

Abstract

This study addresses the synchronization of N different hyperchaotic systems. Simple robust controllers with state variable error feedback and nonlinear compensating mechanisms are designed, such that the states of N different hyperchaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied. The hyperchaotic Lorenz system, the hyperchaotic Liu system and the hyperchaotic Rossler system are taken as examples, numerical simulations and theoretical analysis show that the controller is effective and feasible.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; error compensation; nonlinear control systems; robust control; state feedback; synchronisation; Lyapunov stability theorem; asymptotic stability; hyperchaotic Liu system; hyperchaotic Lorenz system synchronization; hyperchaotic Rossler system; nonlinear compensation mechanism design; numerical simulation; robust controller; state variable error feedback system; Automation; Chaotic communication; Control systems; Error correction; Laboratories; Lyapunov method; Nonlinear control systems; Power systems; Telecommunication control; Thermal engineering; Chaos Synchronization; Different Hyperchaotic System; Lyapunov Stability Theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5191604

Filename

5191604