In this paper, the design of hybrid H-infinity synchronization control for continuous chaotic systems based on sliding mode control (SMC) is considered. H-infinity discrete sliding mode controllers integrated with the digital redesign approach are newly designed to achieve robust chaos synchronization. By the proposed design procedure, an H-infinity discrete-time SMC can be easily obtained to guarantee the robustness of synchronization even if the system is disturbed with unmatched perturbations. Besides, since the saturation function is adopted to eliminate the unexpected chattering phenomenon, this paper also discusses the effect of saturation function in multi-input multi-output (MIMO) SMC and the upper bounds of sliding mode trajectories are obtained which is not indicated in the literature. Finally, we perform the simulation to verify the effectiveness of the proposed controller.

本文考虑了基于滑模控制(SMC)的连续混沌系统混合H-无穷大同步控制设计。H-infinity 离散滑模控制器与数字重新设计方法相结合，经过全新设计，可实现稳健的混沌同步。通过所提出的设计程序，即使系统受到不匹配扰动的干扰，也可以轻松获得 H 无穷大离散时间 SMC 以保证同步的鲁棒性。此外，由于采用饱和函数来消除意外的抖动现象，本文还讨论了饱和函数在多输入多输出（MIMO）SMC中的影响，并获得了滑模轨迹的上限文献。最后，