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基于动态事件触发的混沌系统故障容错同步问题
引用本文:马大中,李晓瑜,孙秋野. 基于动态事件触发的混沌系统故障容错同步问题[J]. 控制与决策, 2018, 33(12): 2184-2190
作者姓名:马大中  李晓瑜  孙秋野
作者单位:东北大学信息科学与工程学院,沈阳110004,东北大学材料电磁过程研究教育部重点实验室,沈阳110004,东北大学信息科学与工程学院,沈阳110004
基金项目:国家重点研发计划项目(2017YFF0108800);国家自然科学基金项目(61773109,61573094,61627809);教育部基础科研业务费专项资金项目(N160404005).
摘    要:针对混沌系统故障容错同步问题进行研究,设计基于动态事件触发的同步控制器以实现混沌系统的故障容错同步.首先,针对系统中存在的故障环节构造故障容错的系统模型,在此基础上采用输入-状态稳定性(ISS)的方法,将控制器求解问题转化为求解所对应故障容错系统的稳定性问题;然后,通过构造Lyapunov函数给出混沌系统故障容错同步的充分条件,通过引入动态变量,使得所设计的触发条件可以根据系统的运行状态进行动态调整,在实现系统故障容错同步的同时,最大程度地降低网络的占用率;最后,通过数值仿真验证所提出方法的有效性.

关 键 词:故障容错  混沌同步  动态事件触发  输入-状态稳定  同步控制器  动态变量

Dynamic event-triggered fault tolerant synchronization of chaotic system
MA Da-zhong,LI Xiao-yu and SUN Qiu-ye. Dynamic event-triggered fault tolerant synchronization of chaotic system[J]. Control and Decision, 2018, 33(12): 2184-2190
Authors:MA Da-zhong  LI Xiao-yu  SUN Qiu-ye
Affiliation:College of Information Science and Engineering,Northeastern University,Shenyang110004,China,Key Lab of Electromagnetic Processing of Materials,Ministry of Education,Northeastern University,Shenyang110004,China and College of Information Science and Engineering,Northeastern University,Shenyang110004,China
Abstract:The fault-tolerant chaotic system synchronization problem is studied in this paper. A synchronization controller based on dynamic event trigger is designed to realize the fault-tolerant chaotic system synchronization. First of all, for the fault existed in the system, the fault-tolerant system model is constructed. Based on the fault-tolerant system model designed, the input-state stability(ISS) method is used to transform the optimal sampling controller problem into the stability problem of the corresponding fault-tolerant system. The sufficient conditions for the fault-tolerant chaotic system synchronization are presented by constructing the Lyapunov functional. The triggering condition designed can modulate dynamically based on system operation condition by introducing dynamic variable, insuring fault-tolerant system synchronization, and the network usage rate is also heavily decreased. Finally, the effectiveness of the proposed method is verified by numerical simulations.
Keywords:
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