线性时滞系统的鲁棒稳定性  

Robust stability of linear time-delay systems

作　　者：麻世高[1] 于静波[1] 

机构地区：[1]中国民航学院理学院,天津300300

出　　处：《辽宁工程技术大学学报（自然科学版）》2005年第4期619-621,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：中国民航总局教育教学研究基金资助项目(03-3-06)

摘　　要：基于控制界研究较为活跃的领域之一即线性时滞系统的鲁棒稳定性,利用系统自身结构特征和信息的提取对系统进行了重新表达,利用系统自身的Lyapunov方程的对称解,采用放大矩阵不等式的方法,首先对线性时滞系统得到系统稳定的充分条件,进而给出判别不确定线性时滞系统的稳定性的充分条件,最后给出实例检验其有效性。给出的定理条件易于表达,由于参数少而容易检验。Based on the stability of linear time-delay system, one of more active reaearch field for me cortrol field, linear time-delay systems are reexpressed based on the structure analysis and the information search for the systems. Through the self symmetrical positive definite solution to Lyapunov equation for the systems and with amplyfying matrix inequality method for a given linear time-delay systems and robust linear time-delay systems, sufficient conditions are obtained for the systems. At last, the example test shows the effect. Theorem condition of the paper is easily expressed and tested because of less parameters.

关 键 词：不确定线性时滞系统 鲁棒稳定性 LYAPUNOV方程 

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]