事件触发通讯机制下线性系统的网络化动态输出反馈H_∞控制  

Network-based Dynamic Output Feedback H_∞ Control for Linear Systems under An Event-triggered Communication Scheme

作　　者：贾新春[1] 郝晓蕾[1] 张大伟[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2016年第2期170-180,共11页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61403240;61374059);山西省教育厅创新项目(2013105);山西省国际合作项目(2013081040)

摘　　要：研究了事件触发通讯机制下带有双侧网络的线性系统的动态输出反馈H_∞控制问题。引入一个基于测量输出的事件触发机制来决定哪些采样输出在哪些采样时刻通过网络来传输给动态输出反馈控制器。在这个事件触发机制下,考虑传感器到控制器和控制器到执行器双侧网络通道中的网络诱导时延,利用输入时滞方法,对运行时间区间进行适当的区间划分,将闭环系统建模为一个带有两个区间时变时延的时滞系统。充分考虑两个时延的上下界信息来构造一个Lyapunov-krasovskii泛函,以线性矩阵不等式形式建立H_∞性能判据和控制器的设计方法。最后,通过仿真例子验证所提方法的有效性。The problem of network-based dynamic output feedback H_∞control for linear systems under an event-triggered communication scheme is studied.An output-based event-triggered communication scheme is introduced to determine which sampled output should be transmitted at which time instants to a dynamic output feedback controller through the network.Under the event-triggered scheme,taking network-induced delays in both the sensor-to-controller channel and the controller-to-actuator channel into account,the closed-loop system is modeled as a system with two interval time-varying delays by using an input delay approach.A Lyapunov-krasovskii functional,which makes use of information about the upper and lower bounds of two interval time-varying delays,is constructed to derive an H_∞performance criterion and a controller design method in terms of linear matrix inequalities.Finally,a numerical example is given to validate the proposed method.

关 键 词：网络化控制系统 事件触发机制 动态输出反馈 网络诱导时延 H∞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O177[自动化与计算机技术—控制科学与工程]