基于PI控制器的不确定广义系统的非脆弱耗散控制  

Non-fragile dissipative control for uncertain singular systems via PI controller

作　　者：黎虹[1] Li Hong(Basic Course Department, Shenyang Institute of Technology, Fushun 113122, China)

机构地区：[1]沈阳工学院基础课部,辽宁抚顺113122

出　　处：《纯粹数学与应用数学》2017年第4期331-339,共9页Pure and Applied Mathematics

基　　金：辽宁省教育厅科学研究一般项目(L2015381)

摘　　要：主要研究了一类不确定广义系统的耗散控制问题,基于线性矩阵不等式的处理方法给出了使广义系统容许且严格耗散的充要条件,并利用线性矩阵不等式的解给出了耗散控制器的设计方法,得到了一个具有非脆弱性的状态反馈PI控制器的显示表达,使得对所允许的不确定性闭环广义系统容许且严格耗散.最后用数值例子说明了所提出方法的正确性和有效性.The question of dissipative control is considered for a class of singular systems with uncertainty,the necessary and sufficient condition of admissible and strictly dissipative is given by using linear matrix inequality.A non-fragile state feedback PI controller is designed by using the solution of linear matrix inequality such that the closed-loop system is both admissible and strictly(Q;R;S)dissipative for all the uncertainties.At last,numerical examples show the correctness and effectiveness of the proposed method.

关 键 词：广义系统 严格耗散 PI控制器 非脆弱控制 

分 类 号：O23[理学—运筹学与控制论]