基于有记忆状态反馈控制器的变时滞Lurie不确定系统的鲁棒H_∞控制  

The robust H_∞ control based on state feedback controller with memory for uncertain Lurie systems with time-varying delay

作　　者：包春霞[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《高师理科学刊》2017年第5期1-6,共6页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金项目(11561053);内蒙古师范大学十百千人才工程项目(RCPY-2-2012-K-037);内蒙古自治区教育厅硕士研究生创新基金项目(S20161013502)

摘　　要：对于一类变时滞Lurie不确定系统,研究了基于有记忆状态反馈控制器的H_∞控制问题.利用Lyapunov泛函、线性矩阵不等式(LMI)和Schur补性质获得了系统是渐近稳定的且具有H_∞性能的一个充分条件,并求出了系统的有记忆的g-次优状态反馈H_∞控制器.给出数值实例验证了所得结论的正确性.Studies the H∞ control problem based on state feedback controllers for a class of Lurie control systems with time-varying delay. Obtains a sufficient condition for the asymptotic stability and H∞ properties of the given systems with memory robust stability controller by using Lyapunov functional method and linear matrix inequality （ LMI ） approach and Schur complement lemma, and the order γ suboptimal state H∞ controllers is designed for the Lurie systems. The effectiveness of conclusion is shown with numerical example.

关 键 词：LURIE时滞系统 线性矩阵不等式(LMI) H∞性能 

分 类 号：O231.2[理学—运筹学与控制论]