基于2-D Roesser模型的时滞系统迭代学习控制稳定性分析  

Stability Analysis of Iterative Learning Control for Time-delay Systems via 2-D Roesser Models

作　　者：李国军[1] 卢甜甜[1] 陈会云[1] 陈东杰[1] 王亢[2] LI GUOJUN;LU TIANTIAN;CHEN HUIYUN;CHEN DONGJIE;WANG KANG(Basic Courses Department,Zhejiang Police College,Hangzhou 310053,China;Computer and Information Security Department,Zhejiang Police College,Hangzhou 310053,China)

机构地区：[1]浙江警察学院公共基础部,杭州310053 [2]浙江警察学院计算机与信息安全技术系,杭州310053

出　　处：《应用数学学报》2023年第5期769-790,共22页Acta Mathematicae Applicatae Sinica

基　　金：国家社科基金(面上)项目(批准号:20BTQ067)资助。

摘　　要：本文讨论了多种类型时滞系统的迭代学习控制问题.针对状态时滞和输入时滞系统分别建立相应的2-D Roesser模型,并通过Roesser模型进行收敛性分析.分析表明,两类系统是否稳定与控制律中引入的伪偏导项无关.伪偏导项虽然不能决定系统是否收敛,但能够影响系统的收敛速度.而且该设计思想不仅对连续时滞系统有效,对于离散时滞系统依然有效.最后的仿真算例验证了算法的有效性.This paper discusses the iterative learning control of various types of time-delay systems.2-D Roesser models are established for state-delay and input-delay systems respectively,and the convergence analysis is performed through the Roesser model.The analysis shows that the stability of the each system has nothing to do with the pseudo-partial derivative terms introduced in the control law.Although the pseudo-partial derivative terms cannot determine whether the system converges or not,it can affect the convergence speed of the system.And the design idea is not only valid for continuous time-delay systems,but also for discrete time-delay systems.The final simulation examples verify the effectiveness of the algorithms.

关 键 词：迭代学习控制 时滞系统 2-D Roesser模型 收敛 

分 类 号：O231.1[理学—运筹学与控制论]