变周期采样控制系统的稳定性分析

• 作者: 赵冰 姜偕富 张镇佳 戎佳豪
• 来源期刊: 杭州电子科技大学学报（自然科学版）
• 关键词: 采样控制系统 稳定性 变周期性 类Lyapunov泛函
• 年，卷（期）: 2023,（1）
• 页码范围: 69-74
• 页数: 5页
• 分类号: TP273
• 语种: 中文
• DOI: 10.13954/j.cnki.hdu.2023.01.011

摘要

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.