Finite-time combination-combination synchronization of four different chaotic systems with unknown parameters via sliding mode control

作者：Sun, Junwei^*; Shen, Yi; Wang, Xiaoping; Chen, Jie

来源：Nonlinear Dynamics, 2014, 76(1): 383-397.

DOI：10.1007/s11071-013-1133-z

• Finite-time
• Combination-combination synchronization
• Sliding mode control
• Combination control law

In this paper, we apply the nonsingular terminal sliding mode control technique to realize the novel combination-combination synchronization between combination of two chaotic systems as drive system and combination of two chaotic systems as response system with unknown parameters in a finite time. On the basic of the adaptive laws and finite-time stability theory, an adaptive combination sliding mode controller is proposed to ensure the occurrence of the sliding motion in a given finite time for four different chaotic systems. In theory, it is proved that the sliding mode technique can realize fast convergence for four different chaotic systems in the finite time. Some criteria and corollaries are derived for finite-time combination-combination synchronization of four different chaotic systems. Numerical simulation results are shown to verify the effectiveness and correctness of the combination-combination synchronization.

• 出版日期2014-4
• 单位华中科技大学