基于PI控制器的不确定广义系统的耗散控制  

Dissipative Control for Uncertain Singular Systems via PI Controller

作　　者：黎虹[1] 史书慧 LI Hong;SHI Shu-hui(College of Basic Education,Shenyang Institute of Technology,Fushun 113122,China;Basic Department,Shenyang Institute of Engineering,Shenyang 110136,China)

机构地区：[1]沈阳工学院基础教育学院,辽宁抚顺113122 [2]沈阳工程学院基础教学部,沈阳110136

出　　处：《控制工程》2018年第9期1634-1637,共4页Control Engineering of China

基　　金：辽宁省教育厅科学研究一般项目资助(L2015381)

摘　　要：针对参数具有确定性及不确定性的一类广义系统,分别给出严格耗散PI控制器的设计方法。首先针对一类广义系统利用线性矩阵不等式的方法给出使其容许且严格耗散的充要条件,并由线性矩阵不等式的可行解构造出状态反馈PI控制器增益的显式表达式,保证闭环广义系统容许且严格耗散。然后,考虑系数矩阵均具有范数有界不确定性时的鲁棒严格耗散控制问题,给出使其容许且严格耗散的充要条件及状态反馈PI控制器增益的显式表达式,保证闭环广义系统容许且严格耗散。最后用数值例子说明了提出方法的有效性。For the singular systems with and without uncertainty, strictly dissipative PI controllers are designed. Firstly, the necessary and sufficient condition for the singular systems to be admissible and strictly dissipative is given by using linear matrix inequality while considering the singular systems without uncertainty and the parametric representation of gains of the state feedback PI controller is also given such that the closed-loop system is both admissible and strictly dissipative. Then for the singular systems with uncertainty, a state feedback PI controller is designed such that the closed-loop system is both admissible and strictly dissipative for all the uncertainties. Finally, a numerical example shows the effectiveness of the proposed method.

关 键 词：广义系统 严格耗散 PI控制器 

分 类 号：O23[理学—运筹学与控制论]