变周期采样控制系统的稳定性分析  

Stability analysis of variable period sampling control system

作　　者：赵冰 姜偕富[1] 张镇佳 戎佳豪 ZHAO Bing;JIANG Xiefu;ZHANG Zhenjia;RONG Jiahao(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）》2023年第1期69-74,共6页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61673148)。

摘　　要：运用类Lyapunov泛函研究变周期采样控制系统的稳定性问题。在构造类Lyapunov泛函过程中,增加泛函中某一项矩阵的维数,充分利用系统的采样信息;在估计类Lyapunov泛函导数过程中,充分运用现有的相关积分不等式进行放缩;最后,使用线性矩阵不等式技术推出保守性较小的系统稳定性准则。数值算例表明,提出的系统稳定性定理具有较小的保守性,验证了方法的有效性和优越性。The stability of variable period sampling control systems is studied by using Lyapunov-like functional.In the process of constructing Lyapunov-like functional,the dimension of a matrix in the functional is increased to make full use of the sampling information of the system.In the process of estimating Lyapunov-like functional derivatives,the existing relevant integral inequalities are fully used for scaling and shrinking.Finally,a less conservative system stability criterion is derived by using linear matrix inequality technique.Numerical examples show that the proposed system stability theorem is less conservative,the effectiveness and the superiority of the method are verified.

关 键 词：采样控制系统 稳定性 变周期性 类Lyapunov泛函 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]