不确定广义系统的时滞相关鲁棒控制  

Delay Dependent Robust Control for Singular Systems with Time-delay and Uncertainty

作　　者：胡南辉[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《嘉应学院学报》2010年第8期5-10,共6页Journal of Jiaying University

摘　　要：针对一类不确定时滞广义系统,利用Park不等式建立了一个新的积分不等式,通过这一不等式获得了系统稳定的、基于LMI的时滞相关充分条件;同时给出了时滞状态反馈控制器的一种新的设计方法。数值例子说明了所得结论较已有结果具有较小的保守性。A new method called integral inequality method is proposed to study the delay dependent robust stability and stabilization for singular systems with time delay and norm-bounded uncertainty.First,an integral inequality for quadratic terms is established by using the Park inequality.Secondly,Based on the linear matrix inequality（LMI） techniques,a new robust criterion of delay dependent for determining the stability of singular systems with time-delay is obtained.This criterion is used to design an efficient stabilized delayed state feedback controller for systems with norm-bounded uncertainty.Finally,examples illustrate that the new results are less conservative than that of the present literatures.

关 键 词：广义系统 积分不等式 时滞相关 

分 类 号：O231.1[理学—运筹学与控制论]