Control and synchronization of fractional unified chaotic systems with a single sliding mode controller

Author

Yuan Jian ; Shi Bao ; Wang Yan

Author_Institution

Inst. of Syst. Sci. & Math., Naval Aeronaut. & Astronaut. Univ., Yantai, China

fYear

2014

fDate

28-30 July 2014

Firstpage

1800

Lastpage

1805

Abstract

This paper deals with control and synchronization of the fractional unified chaotic systems using the sliding mode control technique. For this end, we first introduce a fractional sliding surface. Second, based on the control Lyapunov function we design a single sliding mode controller respectively for the control issue and synchronization problem. The proposed controllers are simple, robust and constructive for practical applications. Finally, we carry out numerical simulations to validate the theoretical analysis.

Keywords

Lyapunov methods; calculus; control system synthesis; nonlinear control systems; numerical analysis; robust control; synchronisation; variable structure systems; control Lyapunov function; fractional sliding surface; fractional unified chaotic system control; numerical simulations; robust controller; single sliding mode controller design; synchronization; Chaotic communication; Numerical simulation; Sliding mode control; Synchronization; Trajectory; Chaos Control; Chaos Synchronization; Fractional Calculus; Fractional Chaotic Systems; Sliding Mode Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896902

Filename

6896902