文献类型：期刊文献

英文题名：On H∞ sliding mode control under stochastic communication protocol

作者：Song, Jun[1]; Wang, Zidong[2,3]; Niu, Yugang[1]

机构：[1] Key Laboratory of Advanced Control and Optimization for Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China; [2] College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China; [3] Department of Computer Science, Brunel University London, Uxbridge, UB8 3PH, United Kingdom

年份：2019

卷号：64

期号：5

起止页码：2174

外文期刊名：IEEE Transactions on Automatic Control

收录：EI(收录号：20183605785897)

语种：英文

外文关键词：Digital control systems - Discrete time control systems - Stochastic systems - Controllers - Actuators - Internet protocols - Scheduling - Networked control systems

摘要：This paper is concerned with the sliding mode control (SMC) problem for a class of uncertain discrete-time systems subject to unmatched external disturbances and communication constraints. In order to reduce the bandwidth usage between the controller and the actuators, the stochastic communication protocol (SCP) is utilized to determine which actuator should be given the access to the network at a certain instant. A key issue of the addressed problem is to design both the sliding surface and the sliding mode controller under the SCP scheduling. An updating rule on actuator input is first introduced and then a token-dependent SMC law is designed. Sufficient conditions are established for the resultant SMC systems such that not only the reachability with a sliding domain around the specified sliding surface is ensured, but also the stochastic stability with a prescribed H∞ performance level is guaranteed. Based on these conditions, a set of coupled matrix inequalities is given to acquire the token-dependent parameter matrices in the proposed SMC law. Finally, a numerical example is presented to illustrate the effectiveness of the proposed H∞ SMC scheme under the SCP scheduling. ? 1963-2012 IEEE.