Full state hybrid projective synchronization of variable-order fractional chaotichyperchaotic systems with nonlinear external disturbances and unknown parameters

Volume 9, Issue 3, pp 1064--1076 http://dx.doi.org/10.22436/jnsa.009.03.34

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Authors

Li Zhang - College of Control Science and Engineering, Shandong University, Jinan, 250061, China. - Business School, Shandong University of Political Science and Law, Jinan, 250014, China. Tao Liu - Business School, Shandong University of Political Science and Law, Jinan, 250014, China.

Abstract

The full state hybrid projective synchronization (FSHPS) definition for variable-order fractional chaotic/hyperchaotic systems with nonlinear external disturbances and unknown parameters is firstly presented. Then by introducing a compensator and a nonlinear controller, the FSHPS scheme is generated to eliminate the in uence of nonlinear external disturbances effectively. Moreover, the parameters are estimated validly. Based on these control methods, appropriate parameters and controller to achieve FSHPS for the variable-order fractional chaotic/hyperchaotic systems are chosen impactfully. Simulations of variable-order fractional Chen and Lü system and fractional order hyperchaotic Lorenz system in the sense of FSHPS are performed and results show the effectiveness of our method.

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Keywords

• Variable-order fractional systems
• synchronization
• external disturbance
• unknown parameters

MSC

•  34H10
•  34H15
•  34D06

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