区间时滞系统的非脆弱鲁棒H_∞控制  

Non-Fragile Robust H_∞ Control for Linear Systems with Interval Time-Varying Delay

作　　者：马大中[1] 王占山[1] 冯健[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2011年第4期476-480,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60774093);中国博士后科学基金资助项目(20060400962);辽宁省自然科学基金资助项目(20062018)

摘　　要：针对一类时滞是时变的且属于一个已知区间的线性系统,提出了一种新的Lyapunov-Krasovskii函数分析方法,分析区间时滞线性系统的稳定性,并设计了非脆弱鲁棒H∞控制器.设计的非脆弱鲁棒H∞控制器不仅可以保证时滞系统是渐近稳定的,同时可以满足所给定的H∞性能指标.非脆弱鲁棒H∞控制器可以通过线性矩阵不等式方法获得.仿真例子验证了该方法的有效性.For time-varying delay linear systems with intervals,a new Lyapunov-Krasovskii method was presented to analyze the stability of linear systems with interval time-varying delay,and design a non-fragile robust H∞ controller.The non-fragile robust H∞ controller guaranteed the time-delay systems were asymptotically stable and satisfied a prescribed H∞ performance level.The non-fragile robust H∞ controller of linear systems with interval time-varying delay can be solved by linear matrix inequality（LMI）.The effectiveness of the proposed design method was verified by simulation examples.

关 键 词：区间时滞 非脆弱 鲁棒控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]