时变时滞奇异摄动Lurie系统的稳定性分析  

Stability Analysis of Singularly Perturbed Lurie Systems with Time-Varying Delay

作　　者：孙凤琪[1] SUN Fengqi(Department of Mathematical,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院

出　　处：《吉林大学学报（信息科学版）》2019年第4期382-389,共8页Journal of Jilin University（Information Science Edition）

基　　金：高校基本科研基金资助项目(N100406010)

摘　　要：为改善在实际的Lurie控制系统中的滞后和摄动现象所导致的系统振动和不稳定问题,在鲁棒稳定性理论基础上,笔者分析了含有不确定性结构的时变时滞奇异摄动Lurie系统在两种扇形区域[0,V]和[V1,V2]内的稳定性问题,通过选取新的李雅普诺夫泛函数,结合引理、交叉项界定方法,推出时滞依赖和时滞独立两种情形下新的绝对稳定性判据。数值样例证明了该结果的可行性和优越性。In order to improve the system vibration and instability caused by the delay and perturbation phenomena in actual Liurie control system,based on the theory of robust stability theories,Lurie systems with time-varying delay uncertainty are discussed. Combined with lemma and cross terms defined method,the new stability criterions of time-delay dependent and time-delay independent are deduced in two sector regions:[0,V]and [V1,V2]by constructing a new Lyapunov functional. The feasibility and superiority are illustrated by the numerical example.

关 键 词：LURIE系统 强绝对稳定性 奇异摄动时变时滞系统 时滞依赖 时滞独立 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231.2[自动化与计算机技术—控制科学与工程]