不确定中立型变时滞系统基于状态观测器的滑模控制  

Sliding Model Coutrol for Uncertain Neutral Type Systems with Time-Varying Delays Basedon State Observer

作　　者：高存臣[1] 袁雪娇 张彩虹[2] GAO Cun-Chen;YUAN Xue-Jiao;ZHANG Cai-Hong(School of Mathematical Sciences, Ocean University of China, Qingdao 266100,China;School of Automation and Electrical Engineering,Qingdao University,Qingdao 266071,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100 [2]青岛大学自动化与电气工程学院,山东青岛266071

出　　处：《中国海洋大学学报（自然科学版）》2019年第7期149-154,共6页Periodical of Ocean University of China

基　　金：青岛博士后应用研究项目(2015117)资助~~

摘　　要：本文讨论了不确定中立型变时滞系统的滑模控制问题。首先,为了估计所要研究的不确定中立型系统的状态,构造了一个状态观测器,并设计了滑模控制律,以保证切换面的有限时间可达性。其次,基于Laypunov-Krasovskii泛函法以及线性矩阵不等式(LMI)等方法,给出了误差系统和滑模动力方程的渐近稳定性判据。最后,给出了一个数值算例说明了文本结果的有效性和可行性。This paper is concerned with sliding mode control for uncertain neutral type systems with time-varying delays. Firstly, a observer is constructed to estimate the state of neutral type systems of the study, a switching function is defined based on the new observer and a sliding mode control law is designed to guarantee the reach-ability of the switching surface in a finite time interval. Secondly, based on the Laypunov-Krasovskii functional method, sufficient condition on asymptotic stability of the error system and sliding mode dynamics equation are presented in terms of linear matrix inequalities(LMI). Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.

关 键 词：变时滞 中立系统 观测器 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]