切换奇异时滞系统事件触发机制的有限时间H_∞滤波  

Finite-time H_∞ Filtering for Event Triggering Mechanism of Switched Singular Time-delay Systems

作　　者：李振璧[1] 贾汉坤 李学洋 LI Zhen-bi;JIA Han-kun;LI Xue-yang(College of Electrical and Information Engineering,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学电气与信息工程学院

出　　处：《科学技术与工程》2019年第23期144-149,共6页Science Technology and Engineering

基　　金：国家自然科学基金(61501006);国家重点研发计划(2016yfc0600908)资助

摘　　要：为了避免通信网络资源的不必要浪费,提出了一种事件触发作为采样方案,研究了一类切换奇异时滞系统在事件触发机制下的有限时间滤波问题。由于信号传输途中会出现延迟,导致系统性能不理想,主要是通过事件触发方案,设计一个滤波器,使得滤波误差系统不仅是有限时间稳定的,而且还满足一定的性能指标。利用Lyapunov函数和平均驻留时间(average dwell time,ADT)技术,用线性矩阵不等式(linear matrix inequality,LMI)形式推导出了事件触时发机制下滤波有限时间稳定的充分条件,保证系统是有限时间稳定且满足一定的性能指标,最后用实例验证方法的有效性。In order to avoid unnecessary waste of communication network resources,an event triggering sampling scheme was proposed.The finite-time filtering problem for a class of switched singular time-delay systems under event triggering mechanism was studied.Due to the delay in signal transmission,the system performance is not ideal.The main task is to design a filter through the event triggering scheme,which makes the filtering error system not only to be finite-time stability,but also to be satisfy performance indicators.By using Lyapunov function and average dwell time(ADT)technique,the sufficient conditions for finite-time stability of filtering under event-trigger mechanism were derived in the form of linear matrix inequalities(LMI),which ensure that the system is finite-time stable and satisfies performance indicators.Finally,an example is given to illustrate the effectiveness of the method.

关 键 词：有限时间滤波 线性矩阵不等式 平均驻留时间 事件触发 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]