改进的采样控制系统的稳定性准则
Improved Stability Criteria for Sampling Control Systems
李佳峰 1姜偕富 1李敬莹 1李紫薇 1马雪乐1
作者信息
- 1. 杭州电子科技大学自动化学院,浙江 杭州 310018
- 折叠
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[tk,tk+1)内[tk,t)及[t,tk+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.
Abstract
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[tk,t)and[t,tk+1)within the sampling interval[tk,tk+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Key words
Lyapunov-like functional/sampling control system/stability/linear matrix inequality引用本文复制引用
出版年
2024
NETL
NSTL
万方数据