文献类型：期刊文献

英文题名：Resilient Static Output Feedback Control of Linear Semi-Markov Jump Systems With Incomplete Semi-Markov Kernel

作者：Tian, Yongxiao[1];Yan, Huaicheng[2,3];Zhang, Hao[4];Zhan, Xisheng[3];Peng, Yan[5]

机构：[1]East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China;[2]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[3]Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Hubei, Peoples R China;[4]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China;[5]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China

年份：2021

卷号：66

期号：9

起止页码：4274

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000690441100036)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 62073143, Grant 61922063, Grant 61673178, and Grant 61773289, in part by the Program of Shanghai Academic Research Leader under Grant 19XD1421000, in part by the Project funded by China Postdoctoral Science Foundation under Grant 2020TQ0096, in part by the Shanghai International Science and Technology Cooperation Project under Grant 18510711100, in part by the Shanghai and HongKong-Macao-Taiwan Science and Technology Cooperation Project under Grant 19510760200, in part by the Innovation Program of Shanghai Municipal Education Commission under Grant 2021-03-194, and in part by the Shanghai Shuguang Project under Grant 18SG18. Recommended by Associate Editor S.-i. Azuma.

语种：英文

外文关键词：Markov processes; Kernel; Indexes; Numerical stability; Stability criteria; Incomplete semi-Markov kernel (SMK); linear semi-Markov jump systems (SMJS); mean-square stability; piecewise homogeneous embedded Markov chain (EMC); resilient; static output-feedback

摘要：This article is concerned with the problem of the static output-feedback control for a class of discrete-time linear semi-Markov jump systems (SMJSs). Through a mode-dependent resilient control scheme and an invertible linear transformation, a resulting equivalent closed-loop system can be obtained. The embedded Markov chain (EMC) is piecewise homogeneous, which leads to incomplete semi-Markov kernel is variable in the finite interval. A novel class of multivariate dependent Lyapunov function is constructed, which is mode-dependent, elapsed-time-dependent, and variation-dependent. Numerically testable stabilization criteria are established for discrete-time linear SMJSs via abovementioned Lyapunov function. Under bound sojourn time, a desired stabilizing controller is designed such that the closed-loop system is mean-square stable. Finally, the theoretical results are applied to a practical RLC circuit system to show the effectiveness and applicability of the proposed control strategy.