具有两个加性输入时滞系统的状态反馈控制  

State Feedback Control for a Class of System with Two-additive Input Time Delays

作　　者：李海萍[1] LI Hai-ping(School of Science,Hebei University of Science and Technology,Shijiazhuang 050018,China)

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《数学的实践与认识》2020年第8期199-207,共9页Mathematics in Practice and Theory

摘　　要：主要考虑了具有两个加性输入时滞的网络化控制系统的状态反馈控制问题.首先考虑具有两个加性时滞的系统稳定性,构造适当的Lyapunov泛函,不需要所有的矩阵正定,只需其整体正定.其次在估计Lyapunov泛函沿系统的导数时,针对时滞范围的不同,引入了不同的松弛矩阵,得出系统保守性较小的稳定条件.在此基础上,研究了系统状态反馈控制,最后得出闭环系统渐近稳定的充分条件,并给出控制器的设计方法.This paper is centered on the problem of state feedback stabilization for a class of systems with two additive input delays.Firstly,the stability on the system with two additive delays is investigated.An appropriate Lyapunov-Krasovskii functional is constructed and it is positive definite as a whole rather than each term.The sufficient condition obtained can guarantee the system is asymptotically stable in terms of linear matrix inequalities.Then a state feedback controller is designed.Finally,two numerical examples are provided to demonstrate the effectiveness of the proposed method than other methods.

关 键 词：时滞系统 状态反馈控制 加性时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]