This paper studies the uniform synchronization for chaotic systems via event-triggered aperiodic intermittent control (E-APIC). A synchronization scheme via E-APIC is proposed for master-slave chaotic systems. Based on the error state and three indices of threshold-value, check-period, and control-free index, E-APIC is designed and the synchronization is achieved by such an E-APIC. Also, a simplified E-APIC is derived by letting the control-free index trend to zero. With respect to the uncertainties, the simplified E-APIC is strengthened to be robust for the uniform synchronization. Moreover, in order to compare with the synchronization schemes via periodic intermittent control (PIC), time-based aperiodic intermittent control (T-APIC), and event-triggered impulsive control (ETIC), criteria of synchronization via PIC and T-APIC and the scheme of ETIC are given respectively. And by using the same control width, the theoretical results on rate of control (RoC) and number of control (NoC) are derived respectively and show that E-APIC has less RoC and NoC than both PIC and T-APIC. The chaotic Chua's system is used to test the uniform synchronization via PIC, T-APIC, E-APIC, and ETIC. The numerical simulations show that E-APIC has better performances on aspects of NoC, RoC, cost, and average non-control width than PIC, T-APIC, and ETIC.

中文翻译：

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通过事件触发的非周期间歇控制实现混沌系统的均匀同步

本文通过事件触发的非周期性间歇控制（E-APIC）研究混沌系统的统一同步。针对主从混沌系统提出了一种通过E-APIC的同步方案。基于错误状态和阈值、校验周期和无控制指标三个指标，设计了E-APIC，并通过这样的E-APIC实现同步。此外，通过让无控制指数趋向于零来推导出简化的 E-APIC。对于不确定性，简化的 E-APIC 被加强以对统一同步具有鲁棒性。此外，为了与通过周期性间歇控制（PIC）、基于时间的非周期性间歇控制（T-APIC）和事件触发脉冲控制（ETIC）的同步方案进行比较，分别给出了PIC和T-APIC的同步准则和ETIC的方案。并通过使用相同的控制宽度，分别推导出控制率（RoC）和控制次数（NoC）的理论结果，表明E-APIC比PIC和T-APIC具有更少的RoC和NoC。混沌蔡氏系统用于通过PIC、T-APIC、E-APIC和ETIC测试统一同步。数值模拟表明，E-APIC在NoC、RoC、成本和平均非控制宽度方面比PIC、T-APIC和ETIC具有更好的性能。s系统用于通过PIC、T-APIC、E-APIC和ETIC测试统一同步。数值模拟表明，E-APIC在NoC、RoC、成本和平均非控制宽度方面比PIC、T-APIC和ETIC具有更好的性能。s系统用于通过PIC、T-APIC、E-APIC和ETIC测试统一同步。数值模拟表明，E-APIC在NoC、RoC、成本和平均非控制宽度方面比PIC、T-APIC和ETIC具有更好的性能。