基于事件触发控制带有参数不确定的时滞Lur’e系统主从同步
Master-Slave Synchronization of Time-Delay Lur’e Systems with Parametric Uncertainty Based on the Event-Triggered Mechanism
DOI: 10.12677/AAM.2021.104140, PDF,    科研立项经费支持
作者: 马健武*, 高 燕, 顾凤蛟, 陈玲琦：上海工程技术大学，电子电气工程学院，上海
关键词: 时滞Lur’e系统；主从同步；事件触发机制；Chua’s电路；Delayed Lur’e Systems； Master-Slave Synchronization； Event-Triggered Mechanism； Chua’s Circuit
摘要: 本文研究了参数不确定的时滞Lur’e系统采样数据主从同步问题。为了节约信道资源，引入了非周期事件触发机制，只有在满足触发条件时，当前采样数据才会被传输到网络中。为了减少保守性，充分利用了系统的非线性，引进了合适的三重Lyapunov-Krasovskii (L-K)泛函项，并不要求所有的对称矩阵都是正定矩阵，结合基于辅助函数的积分不等式和逆凸矩阵不等式及Schur补引理，给出了新的线性矩阵不等式形式的同步判据。最后，通过两个Chua’s电路的数值仿真验证了结论的有效性。
Abstract: This paper investigates the master-slave synchronization of sampled-data for delay Lur’e systems with uncertain parameters. In order to save the channel resources, the aperiodic event-triggered mechanism is introduced. Only when the trigger condition is satisfied, the current sampled-data will be transferred to the network. In order to reduce the conservatism and make full use of the nonlinearity of the system, the appropriate triple Lyapunov-Krasovskii functional terms are introduced. It is not required that all symmetric matrices are positive definite matrices. A new synchronization criterion in the form of linear matrix inequalities (LMIs) is given by combining the integral inequality based on auxiliary function, inverse convex matrix inequality and Schur complement lemma. Finally, two numerical simulations of Chua’s circuit are provided to show the effectiveness of the conclusion.
文章引用：马健武, 高燕, 顾凤蛟, 陈玲琦. 基于事件触发控制带有参数不确定的时滞Lur’e系统主从同步[J]. 应用数学进展, 2021, 10(4): 1307-1323. https://doi.org/10.12677/AAM.2021.104140

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