混合时滞不确定中立系统鲁棒稳定的时滞分割方法  

Delay-partitioning approach to robust stability of uncertain neutral system with mixed delays

作　　者：李涛[1] 张合新[1] 孟飞[1] 

机构地区：[1]第二炮兵工程学院自动化系,西安710025

出　　处：《控制与决策》2011年第1期106-110,共5页Control and Decision

摘　　要：研究了一类同时具有离散与分布时滞的不确定中立型系统的鲁棒稳定性问题.基于时滞分割思想,通过构造一类特殊的Lyapunov-Krasovskii泛函,并利用Jensen不等式,建立了线性矩阵不等式形式的时滞相关鲁棒稳定性新判据.该方法不涉及模型变换与自由权矩阵技术,减少了理论与计算上的复杂性;同时允许中立时滞项的系数矩阵存在时变不确定性,增强了系统的鲁棒性能.数值算例表明了所得结论的有效性和更低的保守性.This paper studies the robust stability of the uncertain neutral system with discrete and distributed delays. By constructing a special Lyapunov-Krasovskii functional based on delay-partitioning and using the Jensen inequality technology, a new delay-dependent robust stability criterion for the system is formulated in terms of linear matrix inequalities（LMIs）. The proposed approach involves neither model transformation nor free-weighting matrix, so the complexity both in theory and in computation can be reduced. And time-varying uncertainty is allowed in the coefficients of the neutral delay term, which improves the robust performance of the neutral system. Numerical examples show the effectiveness and less conservatism of the results.

关 键 词：LYAPUNOV-KRASOVSKII泛函 时滞分割 鲁棒稳定 线性矩阵不等式 JENSEN不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]