套代数框架下网络控制系统的鲁棒稳定性分析  

Robust stability analysis for the networked control systems within the framework of nest algebra

作　　者：张秀娟 徐晓萍[1] ZHANG Xiu-juan;XU Xiao-ping(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《控制与决策》2024年第4期1223-1230,共8页Control and Decision

基　　金：国家自然科学基金项目(11701537)。

摘　　要：研究级联双端口网络控制系统在被控对象、控制器和双端口通信信道中同时存在扰动的稳定性问题.当网络控制系统通过一系列双向通信信道进行信号传输时,系统建模为通过级联双端口网络进行连接.由于通信过程中会发生信息的失真和干扰,考虑双端口信道传输矩阵中的H_(∞)范数有界扰动以及被控对象和控制器中的gap型扰动,得到基于通信信道扰动服从范数有界时闭环系统与网络控制系统鲁棒稳定之间的关系,同时也以几何不等式的方式给出判定网络控制系统鲁棒稳定性的充分条件.数值算例表明结论是有效的.In this paper,the robust stability of cascaded two-port networked control system with disturbance in the plant,controller and two-port communication channel is studied.Cascading two-port connections occur when signals in a networked control system are transmitted over a series of two-port communication channels.Considering the distortion and interference occurring in communication,we consider H_(∞) norm bounded disturbances in the two-port channel transmission matrix and gap disturbances in the plant and controller.The relationship between the robust stability of the closed-loop system and the networked control system is obtained based on the norm bounded communication channel perturbation,and a sufficient condition for the robust stability of the networked control system is given by means of geometric inequality.The numerical example shows the effectiveness of our conclusion.

关 键 词：套代数 双端口 网络控制系统 稳定 鲁棒稳定 二次约束 

分 类 号：O177.1[理学—数学]