Delta算子系统动态输出反馈D-稳定鲁棒协方差控制  

D-stable robust covariance control via dynamic output feedback for delta operator systems

作　　者：肖民卿[1,2] 曹长修[1] 姚志强[2] 

机构地区：[1]重庆大学自动化学院,重庆400044 [2]福建师范大学数学与计算机科学学院,福州350007

出　　处：《控制与决策》2008年第11期1216-1220,共5页Control and Decision

基　　金：国家自然科学基金项目(60673014)

摘　　要：研究Delta算子描述的线性不确定系统基于动态输出反馈的D-稳定鲁棒协方差控制问题.设计动态输出反馈控制器,使Delta算子不确定系统鲁棒D-稳定,且稳态输出协方差矩阵具有给定上界.利用线性矩阵不等式(LMI)方法,给出D-稳定鲁棒协方差控制器存在的充分条件.在此基础上,提出相应控制器的设计算法.数值算例表明了该设计方法的可行性.The problem of D-stable robust covariance control for the delta operator formulated linear uncertain systems based on dynamic output feedback is studied. The aim is to design a dynamic output feedback controller such that the delta operator uncertain system is robustly D-stable, and the output covariance matrix is less than a given positive definite matrix. Based on linear matrix inequality （LMI） theory, an existence condition of such controller is given, and then the design procedure of the controller is presented. A numerical example shows the feasibility of the design method.

关 键 词：鲁棒协方差控制 DELTA算子系统 动态输出反馈 D-稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]