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.
出处
《嘉应学院学报》
2010年第8期5-10,共6页
Journal of Jiaying University
关键词
广义系统
积分不等式
时滞相关
singular system
integral inequality
delay-dependent