不确定线性时滞系统的鲁棒镇定控制  

Robust Stability Control of Uncertain Linear Time-Delay Systems

作　　者：麻世高[1] 于静波[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航学院学报》2006年第6期9-13,共5页Journal of Civil Aviation University of China

基　　金：中国民用航空总局教育基金项目(03-3-06)

摘　　要：提出了利用构造系统的Lyapunov不等式的对称正定解,采用放大矩阵不等式的新方法,通过对鲁棒反馈控制系统不确定项进行结构表出,基于二次反馈策略构造系统的反馈镇定控制器。首先得到不确定线性时滞鲁棒系统稳定的充分条件,进而给出判别不确定线性时滞反馈系统鲁棒镇定的充分条件。所给出的定理条件易于表达,由于参数少而容易检验。A new idea of utilizing a symmetrical positive and definite solution of Lyapunov inequation in the structure system is put tin＇ward,and amplyfying the matrix inequality method for a given Robust linear time-delay systems and Robust linear time-delay control systems is proposed for the first time. The feedback stability controller is based on the twice feedback policy structural system. First the sufficient conditions are obtained for stabilizing the uncertain time-delay Robust system and then the sufficient conditions are given for differentiating the Robust stability in the uncertain time-delay feedback system. The theorematic conditions given here in this paper are easy to express and,owlng to less parameters,easy to be tested.

关 键 词：不确定线性时滞系统 Lyapunov不等式 二次反馈策略 鲁棒镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]