Accumulated-state-error-based event-triggered sampling scheme and its application to H_∞control of sampled-data systems  

作　　者：Xian-Ming ZHANG Qing-Long HAN Bao-Lin ZHANG Xiaohua GE Dawei ZHANG 

机构地区：[1]School of Science,Computing,and Engineering Technologies,Swinburne University of Technology,Melbourne VIC 3122,Australia [2]College of Automation and Electronic Engineering,Qingdao University of Science Technology,Qingdao 266061,China [3]School of Mathematics,Shandong University,Jinan 250100,China

出　　处：《Science China(Information Sciences)》2024年第6期324-337,共14页中国科学（信息科学）（英文版）

基　　金：supported by Key Project of Natural Science Foundation of Zhejiang Province of China(Grant No.LZ19F03000);National Natural Science Foundation of China(Grant No.62173209)。

摘　　要：This paper is concerned with event-triggered H_∞control of sampled-data systems.Its novelties lie in three aspects:(i)A novel accumulated-state-error-based event-triggered scheme is introduced by comparing the integral of the state error from tk to t with the system state sampled at tk.This condition works well due to the fact that the so-called Zeno behaviour does not occur.(ii)A novel Lyapunov functional is constructed to establish a criterion to ensure some certain H_∞performance of the closed-loop system.This Lyapunov functional is dependent on the integral of the state error involved in the event-triggered scheme.(iii)Under the event-triggered sampling scheme,suitable state-feedback controllers can be designed rather than be given a priori.Moreover,a self-triggered implementation of the proposed event-triggered sampling scheme is presented as well.Finally,a batch reactor model and an inverted pendulum system are given to demonstrate the effectiveness of the proposed method.

关 键 词：event-triggered sampling self-triggered implementation H_∞control looped-functional 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]