文献类型：期刊文献

英文题名：Non-fragile finite-time sliding mode control for Markovian jump systems with randomly occurring uncertainties and controller gain variations

作者：Zhao, Meng[1];Cao, Zhiru[1];Niu, Yugang[1]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China

年份：2022

卷号：359

期号：2

起止页码：1257

外文期刊名：JOURNAL OF THE FRANKLIN INSTITUTE

收录：;EI(收录号：20215011302558);WOS:【SCI-EXPANDED(收录号:WOS:000800550300004)】；

基金：This work was supported in part by the National Natural Science Foundation of China under the grant (62073139).

语种：英文

外文关键词：Markov processes - Uncertainty analysis - Controllers - Closed loop systems - Stochastic systems

摘要：This paper considers the sliding mode control (SMC) problem of a class of uncertain Markovian jump systems, in which there exist randomly occurring parameter uncertainties and random gain variations in the controller. By introducing two independent random variables obeying Bernoulli distribution, the random characteristics of parameter uncertainties and controller gain variations are described. A mode-dependent sliding surface is constructed, and then, the non-fragile SMC scheme is synthesized such that the specified sliding surface is reached in finite time. Furthermore, the stochastic finite-time boundedness over both the reaching and sliding stages are ensured simultaneously under some sufficient conditions. Finally, the developed non-fragile SMC approach is verified by a practical example. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.