基于滑模控制的不确定中立型系统有限时间稳定  

Finite-time Stability of the Uncertain Neutral System Based on Sliding Mode Control

作　　者：张航 王天波 丁阳 ZHANG Hang;WANG Tianbo;DING Yang(School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学数理与统计学院,上海201620

出　　处：《信息与控制》2022年第2期168-175,共8页Information and Control

基　　金：国家自然科学基金(11602134);上海工程技术大学研究生科研创新项目(20KY2103)。

摘　　要：针对一类不确定中立型时滞系统,利用滑模控制理论研究其有限时间稳定问题。首先构造了适当的滑模面及状态反馈控制器,使得系统的状态轨线能够在有限时间内到达滑模面并维持滑动模态。然后利用李雅普诺夫稳定性理论和不等式放缩技巧,研究了闭环系统状态在滑动模态段的有限时间稳定问题,得到了该系统是有限时间稳定的充分条件,该条件以线性矩阵不等式的形式给出,易于求解。最后通过一个数值仿真算例,验证了所得结论的有效性。In this study,the finite-time stability of the uncertain neutral time-delay system is studied using the sliding mode control.First,a suitable sliding surface and state feedback controller are constructed,guaranteeing the system states to reach the sliding surface in a finite time and maintain it.Next,through the Lyapunov stability theory and inequality techniques,the finite-time stability of the closed-loop system in the sliding mode phase is studied;conditions that ensure the finite-time stability are obtained and are given in the form of linear matix inequalities for easier computation.Finally,a numerical simulation confirms the effectiveness of the proposed model.

关 键 词：不确定性 中立型系统 滑模控制 有限时间稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]