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Technical Briefs

Complete Switched Generalized Function Projective Synchronization of a Class of Hyperchaotic Systems With Unknown Parameters and Disturbance Inputs

[+] Author and Article Information
Fei Yu

e-mail: yufeiyfyf@163.com

Yun Song

Associate Professor
e-mail: sonie@126.com
School of Computer and
Communication Engineering,
Changsha University
of Science and Technology,
Hunan 410004, PRC

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 16, 2013; final manuscript received July 13, 2013; published online October 7, 2013. Assoc. Editor: Yang Shi.

J. Dyn. Sys., Meas., Control 136(1), 014505 (Oct 07, 2013) (6 pages) Paper No: DS-13-1025; doi: 10.1115/1.4025159 History: Received January 16, 2013; Revised July 13, 2013

The concept of complete switched generalized function projective synchronization (CSGFPS) in practical type is introduced and the CSGFPS of a class of hyperchaotic systems with unknown parameters and disturbance inputs are investigated. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of a class of hyperchaotic systems asymptotically synchronized up to a desired scaling function and the unknown parameters are also estimated. In numerical simulations, the scaling function factors discussed in this paper are more complicated. Finally, the hyperchaotic Lorenz and hyperchaotic Lü systems are taken, for example, and the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

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Figures

Grahic Jump Location
Fig. 1

Time response of the CSGFPS errors between systems (14) and (15) with periodic function

Grahic Jump Location
Fig. 2

Estimated values of system (14) parameters with parameter updated law (20) and periodic function

Grahic Jump Location
Fig. 3

Estimated values of system (15) parameters with parameter updated law (20) and periodic function

Grahic Jump Location
Fig. 4

Time response of the CSGFPS errors between systems (14) and (15) with exponential function

Grahic Jump Location
Fig. 5

Estimated values of system (14) parameters with parameter updated law (20) and exponential function

Grahic Jump Location
Fig. 6

Estimated values of system (15) parameters with parameter updated law (20) and exponential function

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