The Open Electrical & Electronic Engineering Journal

2015, 9 : 117-126
Published online 2015 April 17. DOI: 10.2174/1874129001509010117
Publisher ID: TOEEJ-9-117

Different-lags Synchronization in Time-delay and Circuit Simulation of Fractional-order Chaotic System Based on Parameter Identification

Zhang Xiaohong and Cheng Peng
No. 86, Hongqi Avi, School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, People’s Republic of China.

ABSTRACT

This study constructs a novel four-dimensional fractional-order chaotic system. It verifies chaotic nonlinear dynamic behaviors and physical reliability by numerical simulation and hardware circuit design. For a class of parameter uncertainty fractional different-lags ( τi ) chaotic systems, the authors design a time-delayed (δ) synchronization controllers and parameter adaptive laws. It proves that the drive system and the response system tend to be synchronized and identified parameter when the control parameter matrix K satisfies the condition that K – nE is a positive definite matrix. Simulation results show physical reliability of the fractional-order different-lags chaotic system and verify effectiveness of different-lags synchronization in time-delayed system method design.

Keywords:

Fractional-order chaotic system, different-lags system synchronization, time-delay synchronization controllers, parameter identification.