不确定离散广义时滞系统的鲁棒非脆弱H_∞控制  

Robust and Non-fragile H-infinity Control for Uncertain Discrete Time-delay Singular Systems

作　　者：苏晓明[1] 刘芳玲[1] 

机构地区：[1]沈阳工业大学理学院,辽宁沈阳110870

出　　处：《计算技术与自动化》2011年第3期14-19,共6页Computing Technology and Automation

摘　　要：针对一类参数不确定离散时滞广义系统,研究其鲁棒非脆弱H∞状态反馈控制器的设计问题。系统中的不确定项参数与控制器的增益变化同时具有线性分式形式的范数有界。首先,利用Lyapunov函数理论,研究该标称系统的鲁棒H∞控制问题;其次,以线性矩阵不等式(LMI)形式给出该系统的鲁棒非脆弱H∞控制器存在的充分条件及设计方法。该控制器既能使闭环系统是允许的,又能保证系统具有一定的H∞性能.最后,通过数值算例说明该方法的有效性。The design problem of robust and non-fragile H-infinity state-feedback controller for a class of uncertain discrete time-delay singular systems is investigated.System of uncertainties parameters and controller gain change has simultaneously linear fractional form of norm bounded.First of all,using Lyapunov function theory,robust h-infinity control problem of the nominal system is studied;Secondly the sufficient condition for the existence of robust and non-fragile H-infinity controller and design methods are presented via linear matrix inequality（LMI）.This controller can make closed-loop system allows,and can guarantee system has certain h-infinity performance;Finally,a numerical simulation shows the effectiveness of this approach.

关 键 词：离散广义系统 非脆弱 线性矩阵不等式(LMI) 鲁棒H∞控制 LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]