Dual combination function projective synchronization of chaotic systems with disturbances
FANG Jie1， ZHU Fei1， LOU Xinjie1， LIU Hua2， DENG Wei1
1.College of Electric and Information Engineering， Zhengzhou University of Light Industry， Zhengzhou 450002， China；2.State Grid Henan Electric Power Company， Zhengzhou 450052， China
Abstract：Based on dual synchronization and combined synchronization， the dual combination function projective synchronization of four drive chaotic systems and two response chaotic systems is researched in this paper. An adaptive feedback controller is theoretically designed based on Lyapunov stability theory， tracking control thought and adaptive control method， by which the state variables of the response systems are able to track the chaotic trajectory of the drive systems according to the desired function matrixes and overcome the effects of the unknown disturbances. When synchronization is achieved， the drive and response systems of the two sets of synchronization systems are able to be combined arbitrarily， and thereby enhancing the flexibility of the synchronization system. MATLAB numerical simulation verifies the correctness and effectiveness of the theoretical analysis.
2019, Vol. 53 
