2025年 02期

摘要(Abstract)：

为了减小现有时变短时延网络控制系统分析与控制结论的保守性，提出一种新的稳定性分析和控制器设计方法。首先将网络控制系统建模为具有指数不确定的线性离散系统，根据系统矩阵的不同的特征值选择不同的标称点，将指数不确定项转化为一个常数项和范数有界的不确定性之和，给出范数上界的最小值的确定方法；然后选择一般形式的Lyapunov函数，采用鲁棒控制理论和矩阵不等式技术，给出使系统渐近稳定和状态反馈控制器存在的充分条件。算例结果表明，本文中提出的方法能显著改善控制质量，提高最大允许时延上界，减小了结论的保守性。

关键词(KeyWords)：网络控制系统;时变时延;矩阵不等式;鲁棒控制

基金项目(Foundation):国家自然科学基金项目(62303075)

作者(Author): 邹全,施骏业,鞠金涛

DOI: 10.13349/j.cnki.jdxbn.20250124.001

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