文献类型：期刊文献

英文题名：Finite-time boundedness of sliding mode control under periodic event-triggered strategy

作者：Li, Jiarui[1];Niu, Yugang[1];Song, Jun[1]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

年份：2021

卷号：31

期号：2

起止页码：623

外文期刊名：INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录：;EI(收录号：20204409405243);WOS:【SCI-EXPANDED(收录号:WOS:000582497100001)】；

基金：National Natural Science Foundation of China, Grant/Award Number: 62073139,61803255; the Natural Science Foundation of Shanghai, Grant/Award Number: 18ZR1416700

语种：英文

外文关键词：event‐ triggering mechanism; finite time boundedness; periodic sample; sliding mode control

摘要：This article investigates the problem of sliding mode control (SMC) for continuous-time systems under the requirement of finite-time boundedness (FTB), in which the state signals are periodically sampled and transmitted to the controller according to the pre-designed event-triggering condition. A key issue is how to utilize the less available state information to achieve the FTB of the closed-loop system. To this end, the continuous-time SMC law is changed into an implementable form dependent on the available sampled state via event triggering transmission. It is shown that the state trajectory of the controlled system can be driven onto the specified sliding surface before the given finite time, and then, remain within a domain around this sliding surface. Due to the characteristic of the periodic event-triggered scheme (ETS), the known partitioning strategy on the SMC with FTB is infeasible for this present case. Instead, we shall analyze the FTB of the closed-loop system over the whole given time, meanwhile, a selection condition on the robust term is given via the given time parameter. Finally, the numerical simulation results are provided to illustrate the proposed periodical event-triggered SMC scheme.