具有时滞和参数不确定性的网络系统的滑模控制  

Sliding Mode Control for Networked Control Systems with Time Delay and Parameter Uncertainties

作　　者：陈秀琴[1] 沈志萍[2] 李钧涛[2] CHEN xiu-qin SHEN Zhi-ping LI jun-tao(School of Mathematics and Computer Science, Xinyang Vocational and Technical College, Xinyang 464000, China College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China)

机构地区：[1]信阳职业技术学院数学与计算机科学学院,河南信阳464000 [2]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学的实践与认识》2016年第21期207-213,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61203293);河南省重点科技攻关计划(122102210131)

摘　　要：研究了一类具有时滞的不确定网络控制系统(NCS)的滑模控制.首先,用一种特殊的变换将不确定时滞系统化为非延迟不确定系统形式.然后基于Lyapunov稳定性理论及线性矩阵不等式(LMI)技术,以线性矩阵不等式的形式给出了该系统的一些新的稳定性判据.所提出的控制器能够使具有不确定性的时滞系统渐近稳定性,而且控制器结构简单,计算方便.最后通过数值模拟,验证了所设计方法的有效性.This paper deals with the sliding mode control for a class of uncertain networked control systems （NCSs） with time-delay. First, changed the system with delay into non-delay system by a special transformation. Then, based on Lyapunov stability theory combined with linear matrix inequality （LMI） techniques, some new stability criteria for the system in terms of LMI are derived. With the proposed criteria, we are able to analyze the asymptotic stability of NCSs with uncertainties and time-delay. Compared to other criteria, the proposed criteria have a much simpler structure and easier calculation. Numerical simulations show that the proposed criteria are effective and are an improvement over previous ones.

关 键 词：不确定网络控制系统 滑模控制 时延 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]