带有初态偏差的离散时滞系统控制策略  

Iterative learning control for a class of discrete-time systems with time delay and random initial state errors

作　　者：李国军[1] 陈东杰[1] 董齐芬[2] 王亢[2] Li Guojun;Chen Dongjie;Dong Qifen;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,浙江杭州310053 [2]浙江警察学院计算机与信息安全系,浙江杭州310053

出　　处：《纯粹数学与应用数学》2022年第2期224-235,共12页Pure and Applied Mathematics

基　　金：国家社会科学基金(16BFX059);教育部产学研合作协同育人项目(201802069007).

摘　　要：针对带有初态偏差的线性离散时滞系统,提出了一种带有修正初态偏差功能的迭代学习控制策略,该控制算法能够使得系统在某个指定区间达到逐点完全跟踪.该指定区间和时滞系统的时滞参数无关,并且该方法能够推广到多时滞系统中.在跟踪过程中,如果系统带有随机性扰动,应用本文所提算法,系统依然能够稳定.最后通过三个算例验证了算法的有效性.In this paper,we present a linear discrete-time iterative learning control scheme to deal with systems with time delay and random initial condition.Using the analogy along the iterative learning axis,the tracking error can pointwisely converge to zero over a specified interval through the initial rectifying action.Furthermore,the results can be extended to systems with multiple time delays.In the control process,if the system has stochastic disturbance,it can be stabilized through using the algorithm proposed in this paper.In the last,three examples are given and the tracking performance of the proposed approach is demonstrated through computer simulations.

关 键 词：迭代学习控制 离散系统 逐点跟踪 初始修正 

分 类 号：O231.1[理学—运筹学与控制论]