含非线性扰动的区间变时滞系统鲁棒稳定新判据  

New Robust Stability Criteria for Interval Time-Varying Delay Systems with Nonlinear Perturbations

作　　者：惠俊军[1,2] 张合新[1] 周鑫 李国梁 孔祥玉 

机构地区：[1]第二炮兵工程大学自动控制系 [2]中国人民解放军96411部队

出　　处：《信息与控制》2014年第5期529-533,共5页Information and Control

基　　金：国家自然科学基金资助项目(61074072)

摘　　要：研究一类含非线性扰动的区间变时滞系统时滞相关鲁棒稳定性问题.基于时滞中点法,把时滞区间均分成两部分,通过构造包含中点信息的增广泛函和三重积分项的Lyapunov-Krasovskii(L-K)泛函,结合L-K稳定性定理、积分不等式方法和自由权矩阵技术,建立了一种新的基于线性矩阵不等式(LMI)形式的时滞相关鲁棒稳定性判据.最后的数值仿真实例说明了所提方法是有效性且具有更低的保守性.The delay-dependent robust stability problem is investigated for a class of systems with interval time-var- ying delay under nonlinear perturbations. Based on the delay central point method, the whole delay interval is divided into two equidistant subintervals at its central point, and a new Lyapunov-Krasovskii （L-K） function- al with triple-integral and augment terms involving the central point information is introduced on these inter- vals. Combined with the L-K stability theorem, the integral inequality method, and the free weighting matrix approach, a new delay-dependent stability criterion is formulated in terms of linear matrix inequality （LMI）. Finally, numerical examples are included to show that the proposed method is effective and can provide less conservative results.

关 键 词：Lyapunov—Krasovskii(L—K)泛函 鲁棒稳定 区间变时滞 非线性扰动 线性矩阵不等式 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]