带有不确定性的多电机卷绕系统的分散最优保性能控制  

Decentralized optimal guaranteed cost control for multi-motor winding system with uncertainties

作　　者：侯海良[1,2] 年晓红 王忠[1] 陈洁[2] HOU Hai-liang;NIAN Xiao-hong;WANG Zhong;CHEN Jie(School of Information Science and Engineering,Central South University. Changsha 410083,China;Schoolof Information,Hu'nan University of Humanities,Science and Technology,Loudi 417000,China)

机构地区：[1]中南大学信息科学与工程学院,长沙410083 [2]湖南人文科技学院信息学院,湖南娄底417000

出　　处：《控制与决策》2019年第3期487-494,共8页Control and Decision

基　　金：国家自然科学基金项目(61473314;61403425;61472135;61621062);湖南省自然科学基金项目(2017JJ2126);娄底市科技计划项目(2017ZD003)

摘　　要：针对具有参数不确定、强耦合的多电机卷绕系统,提出一种分散最优保性能控制方法.首先,将多电机卷绕系统看成由若干动态区间子系统组成的综合系统,引入区间矩阵以处理子系统模型中的设定值改变和不确定参数;在此基础上设计基于状态反馈的分散最优保性能控制器,得到控制器存在的线性矩阵不等式(LMI)充分条件;最后以三电机卷绕系统为研究对象,对所设计的控制器进行仿真和平台实验,实验结果表明,所提出的分散最优保性能控制能有效降低控制代价,增强系统的抗干扰能力,保证张力和速度的控制精度.For the multi-motor winding system with parametric uncertainties and strong coupling, a decentralized optimal guaranteed cost control method is proposed. Firstly, a multi-motor winding system is regarded as a synthetic system with several dynamic interval subsystems. To describe the modifications of set point and the uncertain parameters, a interval matrix is introduced. Then, a decentralized optimal guaranteed cost controller is designed based on state feedback, and a sufficient condition for the existence of this controller is derived in terms of the linear matrix inequalities(LMIs). Finally,some simulation and experimental tests are conducted on a three-motor winding system. The experimental results show that the proposed decentralized optimal guaranteed cost controller can efficiently reduce control cost, strengthen the anti-jamming capability of the system, and ensure control precision of the tension and velocity.

关 键 词：多电机卷绕系统 综合系统 分散最优保性能控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]