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Research Papers

The Control and Synchronization of a Class of Chaotic Systems With Output Variable and External Disturbance

[+] Author and Article Information
Runzi Luo, Yanhui Zeng

Department of Mathematics,
Nanchang University,
Nanchang 330031, China

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 5, 2015; final manuscript received December 31, 2015; published online February 3, 2016. Assoc. Editor: D. Dane Quinn.

J. Comput. Nonlinear Dynam 11(5), 051011 (Feb 03, 2016) (7 pages) Paper No: CND-15-1274; doi: 10.1115/1.4032444 History: Received September 05, 2015; Revised December 31, 2015

This paper investigates the control and synchronization of a class of chaotic systems with external disturbance. The chaotic systems are assumed that only the output state variable is available. By using the output state variable, two types synchronization schemes, i.e., the chaos-based synchronization and the observer-based synchronization schemes, are discussed. Some novel criteria for the control and synchronization of a class of chaotic systems with external disturbance are proposed. The unified chaotic system is taken as an example to demonstrate the efficiency of the proposed approach.

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Figures

Grahic Jump Location
Fig. 4

Plots of synchronization errors between systems (27) and (30)

Grahic Jump Location
Fig. 1

Orbits of controlled system (26) with x1(0)=1,x2(0)=2,x3(0)=3,ρ(0)=0

Grahic Jump Location
Fig. 2

Plots of synchronization errors between systems (27) and (28)

Grahic Jump Location
Fig. 3

Plots of synchronization errors between systems (27) and (29)

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