摘要
利用一种奇异系统方法讨论了时滞系统的输出反馈滑模控制问题.时滞系统的非线性项满足范数有界约束.首先,将滑动模态与线性切换面作为一个奇异时滞系统,基于奇异时滞系统的稳定性理论,给出滑动模态稳定及切换面存在的线性矩阵不等式(Linear matrix inequality,LMI)充分条件.然后,给出使得系统闭环渐近稳定的静态输出反馈滑模控制器的设计方法,此控制器保证闭环系统有限时间到达切换面.最后,用数值算例验证本文方法的有效性和正确性.
In this paper,the static output feedback sliding mode control for time-delay systems is discussed based on a singular system approach.First,the sliding mode dynamics and the linear switching surface are treated as a singular timedelay system.Based on stability theory of singular time-delay systems,a linear matrix inequality（LMI） sufficient condition is proposed,which guarantees the stability of the sliding mode dynamics and the existence of the switching surface.Then,a static output feedback sliding mode controller is designed such that the closed-loop system is asymptotically stable and the state trajectories of the closed-loop system are convergent to the switching surface in a finite time.At last,two numerical examples are given to illustrate the effectiveness of the proposed method.
出处
《自动化学报》
EI
CSCD
北大核心
2013年第5期594-601,共8页
Acta Automatica Sinica
基金
国家自然科学基金(61074037)资助~~
关键词
时滞系统
滑模控制
奇异系统方法
静态输出反馈
线性矩阵不等式
Time-delay system
sliding mode control
singular system approach
static output feedback
linear matrix inequality（LMI）
