一类执行器故障系统的鲁棒预见重复控制策略  

Robust Preview Repetitive Control Strategy for Discrete-time Systems with Actuator Fault

作　　者：李丽[1,2] 贾晨 LI Li;JIA Chen(School of Statistics and Mathematics,Hubei University of Economics,Wuhan 430205,China;School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China;Hubei Center for Data and Analysis,Hubei University of Economics,Wuhan 430205,China)

机构地区：[1]湖北经济学院统计与数学学院,湖北武汉430205 [2]湖北经济学院湖北数据与分析中心,山西晋中030619 [3]太原师范学院数学与统计学院,湖北武汉430205

出　　处：《应用数学》2025年第2期311-322,共12页Mathematica Applicata

基　　金：国家自然科学基金项目(61903130);湖北省教育厅科研计划项目(Q20232204);山西省高等学校科技创新项目(2023L235)。

摘　　要：本文将预见重复控制理论与带执行器故障参数不确定系统相结合,提出带有输出反馈的预见重复控制方法,融合预见控制和重复控制各自的优势,以实现对周期输入信号的跟踪.利用二维模型方法和状态增广技术,推导出二维扩大误差系统,将原系统的预见重复控制问题转化为扩大误差系统的输出反馈问题.并且改写输出方程、通过LMI技巧给出闭环系统渐近稳定的条件及预见重复控制器的设计方法.通过数值仿真验证本文设计方法的有效性.This paper studies the problem of output feedback preview repetitive control for a class of polytopic uncertain discrete-time systems with actuator faults.First,the two-dimensional(2D)augmented error system is constructed by 2D model method and state augmentation technique.This leads to a preview repetitive control problem being transformed into a output feedback stabilization problem.The output equation is modified and the condition for asymptotic stability of closed-loop systems and design method of preview repetitive controller are proposed.The numerical simulation examples also illustrate the effectiveness of the proposed method.

关 键 词：扩大误差系统 预见重复控制 重复控制 故障系统 输出反馈 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]