文献类型：期刊文献

中文题名：不确定离散时间系统的滑模可靠控制

英文题名：Sliding mode reliable control for uncertain discrete-time systems

作者：孙娜娜[1];牛玉刚[1];陈蓓[1];刘永慧[1]

机构：[1]华东理工大学化工过程先进控制和优化技术教育部重点实验室,上海200237

年份：2013

卷号：30

期号：2

起止页码：243

中文期刊名：控制理论与应用

外文期刊名：Control Theory & Applications

收录：CSTPCD;;EI(收录号：20131616214032);Scopus;北大核心:【北大核心2011】；CSCD:【CSCD2013_2014】；

基金：国家自然科学基金资助项目(61074041;61273073)

语种：中文

中文关键词：离散时间系统;执行器故障;滑模控制;拟积分型切换面

外文关键词：discrete-time system; actuator degradation; sliding mode control; integral-like sliding surface

摘要：存在状态时滞的不确定离散时间系统的的滑模可靠控制问题,其中,被控系统执行器可能发生部分故障.通过构造一种拟积分型切换面,可以保证系统状态轨迹从开始时刻就位于切换面上.利用Lyapunov稳定性理论和线性矩阵不等式技术给出了滑模动态系统渐近稳定的充分条件.而且,所设计的滑模控制律可以保证在执行器故障影响下的滑动模态仍然是可达的.数值仿真验证了本文设计方法的有效性.
We investigate the sliding mode reliable control for a class of uncertain discrete-time systems with delayed state,in which the controlled system may be subject to partial actuator degradation.An integral-like sliding surface is chosen such that the trajectories of states will lie in the sliding surface from the initial time.By means of Lyapunov stability theory and linear matrix inequality technique,a sufficient condition is derived to ensure the asymptotic stability of the siding mode dynamics.A new sliding mode controller is designed to ensure the reachability of the sliding mode dynamics despite the effects of actuator degradation.Finally,the numerical simulation results further show the effectiveness of the proposed method.