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带输入饱和的离散时间复杂网络有限时间同步

Finite-time synchronization of discrete-time complex networks with input saturation

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【作者】 刘立佳郭艳玲刘梦昕

【Author】 LIU Lijia;GUO Yanling;LIU Mengxin;College of Machine and Electrical Engineering,Northeast Forestry University;School of Automation,Harbin University of Science and Technology;Key Laboratory of Advanced Manufacturing and Intelligent Technology,Ministry of Education;

【通讯作者】 郭艳玲;

【机构】 东北林业大学机电工程学院哈尔滨理工大学自动化学院教育部先进制造智能化技术重点实验室

【摘要】 针对具有输入饱和的异构离散复杂动态网络,设计事件触发有限时间同步控制器。引入扇区有界条件处理输入饱和对各节点的影响;为了提高能源利用效率,引入动态事件触发策略;同时由于所考虑的系统节点的系数矩阵并不完全相同,还要考虑节点异构性的影响。在此基础上利用Lyapunov稳定性理论、Schur补引理等推导出离散时间复杂网络有限时间同步的充分条件;通过求解一组线性矩阵不等式,联合求解出有限时间同步控制器增益及事件触发参数。最后通过电动机复杂网络实例仿真验证提出理论的有效性,仿真结果表明,所提出的方法节约了63.14%的网络资源。

【Abstract】 An event-triggered synchronization controller was designed for heterogeneous discrete-time complex dynamic networks with input saturation. The influence of input saturation on each node was dealt with by introducing the sector bounded condition. In order to improve energy efficiency, dynamic event-triggered strategy was introduced. At the same time, because the coefficient matrix of the system nodes under consideration is not exactly the same, the influence of node heterogeneity should be considered. On this basis, the sufficient conditions for finite-time synchronization of discrete-time complex networks were derived by using Lyapunov stability theory and Schur’s complement lemma. By solving a set of linear matrix inequalities, the finite-time synchronous controller gain and event-triggered parameters were solved jointly. Finally, effectiveness of the proposed theory was verified by the simulation of motor complex network. The simulation results show that the proposed method saves 63.14% of network resources.

【基金】 黑龙江省自然科学基金(LH2020F035);黑龙江省高等教育教学改革研究项目(SJGY20210389)
  • 【文献出处】 电机与控制学报 ,Electric Machines and Control , 编辑部邮箱 ,2024年12期
  • 【分类号】TP13;O157.5
  • 【下载频次】11
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