改进的采样控制系统的稳定性准则  

Improved Stability Criteria for Sampling Control Systems

作　　者：李佳峰 姜偕富[1] 李敬莹 李紫薇 马雪乐 LI Jiafeng;JIANG Xiefu;LI Jinyin;LI Ziwei;MA Xuele(School of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学自动化学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2024年第2期36-42,共7页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61174108)。

摘　　要：利用Lyapunov-like泛函研究采样控制系统的稳定性问题。在构建Lyapunov-like泛函时,同时利用了采样间隔[t k,t k+1)内[t k,t)及[t,t k+1)上的系统信息,在估计泛函的导数时,运用了比Wirtinger-based不等式保守性更小的不等式技术以及自由权矩阵方法等,推导出改进的系统稳定性准则并以线性矩阵不等式的形式表示。最后,利用MATLAB中的LMI工具箱验证了准则的有效性和优越性。The problem of stability analysis for sampling control systems is studied by using Lyapunov-like functional.The constructed Lyapunov-like functional utilizes the system information on both[t k,t)and[t,t k+1)within the sampling interval[t k,t k+1).When estimating the derivative of the functional,an inequality which is less conservative than Wirtinger-based inequality and techniques like free-weight-matrix method are employed.Improved stability criteria are derived which are expressed in the form of linear matrix inequality.The LMI toolbox in MATLAB is employed to verify the effectiveness and superiority of the criteria.

关 键 词：Lyapunov-like泛函 采样控制系统 稳定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]