中立型系统的时滞相关非脆弱H∞控制  

Non-fragile delay-dependent H_∞ control for linear neutral systems

作　　者：吴敏[1] 肖伸平[1] 张先明[1] 何勇[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《系统工程与电子技术》2008年第9期1768-1773,共6页Systems Engineering and Electronics

基　　金：高等学校博士学科点专项科研基金(20050533015);国家杰出青年科学基金(60425310);国家自然科学基金(60574014)资助课题

摘　　要：讨论中立型系统的时滞相关非脆弱H∞控制问题。利用最近提出的积分不等式,针对非脆弱控制器的加性与乘性不确定性两种形式,获得了中立型系统在非脆弱控制器作用下不仅内部渐近稳定而且具有给定的H∞扰动抑制水平的时滞相关条件。利用这一条件,给出了非脆弱控制器的设计方法,该方法不要调节参数,利用Matlab的LMI工具箱求解方便,数值仿真说明了方法的有效性。The problem of delay-dependent non-fragile H∞ control for linear neutral systems is investigated. Based on an integral inequality established recently, for both cases of additive and multiplicative controller uncertainties, a new delay-dependent condition, which can ensure that the closed-loop system is internally stable with a given H∞ disturbance attenuation level via a non-fragile controller, is obtained by using the Lyapunov- Krasovskii stability theory. Then, the obtained criterion is efficiently applied to design the non-fragile H∞ controller in terms of linear matrix inequalities. No any parameter needs to be tuned. Finally, a numerical example is given to show the validity of the proposed approach.

关 键 词：中立型系统 时滞相关 非脆弱控制 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]