不确定随机奇异时变时滞系统的鲁棒H_(∞)控制  

Robust H_(∞)Control for Uncertain Stochastic Singular Systems with Time-Varying Delays

作　　者：徐放 王天成 XU Fang;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai Shandong 264025,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《新疆大学学报（自然科学版中英文）》2024年第5期542-549,共8页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金“传感器含有不确定性的随机非线性系统的输出反馈控制”(61973150)。

摘　　要：研究了不确定奇异时变时滞系统的鲁棒H_(∞)控制问题.通过构造李雅普诺夫泛函,应用自由矩阵不等式和伊藤公式,设计了确保闭环系统对所有不确定性鲁棒均方可容许并且具有H_(∞)性能指标γ的控制器.最后的数值实例验证了该方法的有效性.This article deals with the problem of robust H_(∞)control for uncertain stochastic singular systems with time-varying delays.By constructing Lyapunov functional and employing improved free matrix inequality and Itô’s formula,a state feedback controller is designed to ensure that the resulting closed-loop system is robustly mean-square admissible for all uncertainties and has an H_(∞)performance indexγ.Finally,an illustrative example is given to demonstrate the effectiveness of the present method.

关 键 词：随机奇异系统 时变时滞 鲁棒H_(∞)控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231.3[自动化与计算机技术—控制科学与工程]