Chaotic synchronization based on improved global nonlinear integral sliding mode control**

In order to avoid integral saturation of integral sliding mode surface, a new integral function which can magnify small errors and minify large errors is designed. Meanwhile, an attenuation function which can decay to zero in a finite time is designed to accelerate the convergence speed of global sliding mode surface. Then, an improved global nonlinear integral sliding mode surface (GNISMS) is constructed, and sliding mode control based on the proposed sliding mode surface is designed to accomplish the synchronization control of chaotic systems with external disturbances and internal parameters uncertainties. Simulation results show that the proposed sliding mode control method has good control performance, and it can be effectively applied to the chaotic secure communication system based on chaos synchronization control.

Automated summary

In this study, a new integral function and attenuation function are proposed for the global nonlinear integral sliding mode surface, which is applied to the synchronization control of chaotic systems. The results show good control performance of the proposed sliding mode control method.