一类时滞系统的稳定性分析及控制器设计  

Stability analysis and controller design for a system with time delays

作　　者：邱金学[1] 游成涛[1] 章春国[1] 

机构地区：[1]杭州电子科技大学数学系,浙江杭州310018

出　　处：《纯粹数学与应用数学》2012年第3期391-400,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(10771048)

摘　　要：研究一类具有状态时滞和输入时滞的时变时滞线性系统.首先,通过选取合适的Lyapunov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskill稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时变时滞线性系统方面的一些结果.最后用实例验证所得到结果.This paper studies the linear system with time-varying state delays and time-varying input delays. First, it is analyzed stability of the system with time delays, by choosing a proper Lyapunov-Krasovskii func- tional, applying Linear matrix inequality （LMI）, and using Lyapunov-Krasovskii stabilization theorem. And then, it is designed corresponding controller. It is improved that some result of linear system with time-varying delays. Finally, this result is checked by the numerical simulation.

关 键 词：时滞系统 LYAPUNOV-KRASOVSKII泛函 鲁棒稳定性 线性矩阵不等式(LMI) 反馈控制 

分 类 号：O231.4[理学—运筹学与控制论]