文献类型：期刊文献

英文题名：An Event-Triggered Approach to Sliding Mode Control of Markovian Jump Lur'e Systems Under Hidden Mode Detections

作者：Song, Jun[1];Niu, Yugang[1];Xu, Jing[1]

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

年份：2020

卷号：50

期号：4

起止页码：1514

外文期刊名：IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

收录：;EI(收录号：20182705408784);WOS:【SCI-EXPANDED(收录号:WOS:000522225200027)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61673174 and Grant 61773162, and in part by the China Post-Doctoral Science Foundation under Grant 2017M620136. This paper was recommended by Associate Editor C. K. Ahn.

语种：英文

外文关键词：Event-triggered strategy; hidden Markov model (HMM); Markovian jump Lur'e systems; sliding mode control (SMC)

摘要：The asynchronous sliding mode control (SMC) problem is investigated for networked Markovian jump Lur'e systems, in which the information of system modes is unavailable to the sliding mode controller but could be estimated by a mode detector via a hidden Markov model (HMM). In order to mitigate the burden of data communication, an event-triggered protocol is proposed to determine whether the system state should be released to the controller at certain time-point according to a specific triggering condition. By constructing a novel common sliding surface, this paper designs an event-triggered asynchronous SMC law, which just depends on the hidden mode information. A combination of the stochastic Lur'e-type Lyapunov functional and the HMM approach is exploited to establish the sufficient conditions of the mean square stability with a prescribed performance and the reachability of a sliding region around the specified sliding surface. Moreover, the solving algorithm for the control gain matrices is given via a convex optimization problem. Finally, an example from the dc motor device system is provided.