一种带时间窗口的双脉冲控制器下的忆阻振荡系统滞同步  

Lag Synchronization of Memristor Oscillator Systems via a Double Impulsive Controller With Time Windows

作　　者：吴鸿娟 熊江[1,2] 冯玉明[1,2] 涂正文[1,3] WU Hong-Juan;XIONG Jiang;FENG Yu-Ming;TU Zheng-Wen(Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Educa-tion,Chongqing Three Gorges University,Chongqing 404120;School of Computer Science and Engineering,Chongqing Three Gorges University,Chongqing 404120;School of Mathematics and Statistics,Chongqing Three Gorges Univer-sity,Chongqing 404120)

机构地区：[1]重庆三峡学院智能信息处理与控制重庆高校市级重点实验室,重庆404120 [2]重庆三峡学院计算机科学与工程学院,重庆404120 [3]重庆三峡学院数学与统计学院,重庆404120

出　　处：《自动化学报》2020年第7期1507-1516,共10页Acta Automatica Sinica

基　　金：国家自然科学基金(11601047);重庆市教育委员会科学技术研究项目(KJQN201901205);重庆市基础研究与前沿探索项目(cstc2018jcyj AX0588);重庆市发展和改革委员会([2017]1007)资助。

摘　　要：在真实的环境中实现复杂忆阻振荡系统的同步时,因为信息干扰及通信问题,驱动和响应系统之间总是存在信息传输时滞,即时滞问题具有普遍性;另外,脉冲控制信号的输入总是存在输入误差,并不能实现精确地输入.本文考虑到上述实际存在的信息传输时滞和脉冲输入误差,设计了一种比较接近真实情况的、灵活的可以带有不同时间窗口和不同控制增益的双脉冲切换控制器,并且利用该控制器实现了两个复杂忆阻振荡系统的滞同步.基于Lyapunov稳定性理论、矩阵不等式以及脉冲控制等相关理论,本文找出了实现一类五阶复杂忆阻振荡系统同步的条件.最后的仿真实验进一步验证了本控制方法的可行性.In real environment,while realizing the synchronization of complex memristor oscillators,there are always some transmission delays between master system and slave system because of the signal interference and some communication problem.That is,the delay problem is so common.On the other hand,there are also some input errors because the impulsive control signals can not be input so accurately.Considering the transmission delay and the input error,we design one flexible double impulsive switch controller,which can reflect the real environment better,with two time windows and two control gains,then use it to realize the lag synchronization of two complex memristor oscillator systems.Based on Lyapunov stability theory,matrix inequality,and impulsive control with time windows,synchronization conditions for one type of five-order complex memristor oscillator systems are given.Simulation results are displayed to verify the feasibility of this method.

关 键 词：忆阻振荡系统 同步 传输时滞 时间窗口 双脉冲控制器 

分 类 号：TN60[电子电信—电路与系统] TP13[自动化与计算机技术—控制理论与控制工程]