线性时滞奇异系统的时滞相关鲁棒H_∞控制  

Delay-Dependent Robust H_∞ Control for the Linear Delay Singular Systems

作　　者：王玉红[1] 海泉[2] 皮建东[2] 

机构地区：[1]内蒙古化工职业学院,内蒙古呼和浩特010070 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2015年第5期590-595,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11402127);国家地区科学基金资助项目(11262017);内蒙古自然科学基金资助项目(2013MS0114)

摘　　要：研究了线性时滞奇异系统的时滞相关鲁棒H∞控制问题.利用适当的参数待定的Lyapunov-Krasovskii泛函和二次型的积分不等式方法获得了线性时滞奇异系统的鲁棒H∞性能的时滞相关的判据,给出鲁棒H∞状态反馈控制器存在的时滞相关的充分条件,并通过数值仿真例子验证了所提出方法的可行性.In this paper,the problem of the delay-dependent robust H∞ control for the linear delay singular systems was discussed.By introducing the appropriate Lyapunov-Krasovskii functional which parameters to be determined and an integral inequalities for quadratic,delay-dependent robust H∞ perform-ance criterion of linear delay singular systems was obtained.At the same time,the delay-dependent suffi-cient condition for robust H∞ state feedback control was given.Finally,numerical simulation examples in this paper verify the feasibility of the method was presented.

关 键 词：奇异系统 时滞相关 鲁棒H∞控制 

分 类 号：O231.1[理学—运筹学与控制论]