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.
作者
徐放
王天成
XU Fang;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai Shandong 264025,China)
出处
《新疆大学学报(自然科学版中英文)》
CAS
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)。