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.
出处
《控制与决策》
EI
CSCD
北大核心
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)