不确定线性离散时滞系统的保性能预见重复控制  

Guaranteed Cost Preview and Repetitive Control for Uncertain Linear Discrete Time-Delay Systems

作　　者：兰永红[1] 贺锦霖 Lan Yonghong;He Jinlin(School of information engineering,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学信息工程学院,湖南湘潭411105

出　　处：《系统仿真学报》2021年第3期529-538,共10页Journal of System Simulation

基　　金：国家自然科学基金(61573298);湖南省自然科学基金(2020JJ6037)。

摘　　要：针对一类不确定线性离散时滞系统,提出一种保性能预见重复控制器的设计方法。通过在前向通道中引入重复控制器来提高系统的跟踪精度,利用L阶差分算子构造包含预见信息但不含时滞的增广误差系统,将保性能预见重复控制器的设计问题转化为输出反馈调节问题。运用Lyapunov稳定性理论和线性矩阵不等式方法,得到保证闭环系统渐近稳定的充分条件。用数值仿真来说明目标值预见补偿对不确定离散时滞系统的控制效果。For a class of uncertain linear discrete time-delay systems,a design method for guaranteed cost preview and repetitive controller is proposed.By introducing a repetitive controller in the forward channel to improve the tracking accuracy of the system,L-order difference operators are used to construct an augmented error system that contains preview information but does not include time delay,and the design problem of guaranteed cost preview and repetitive controller is converted into an output feedback adjustment problem.Using the Lyapunov stability theory and the linear matrix inequality method,the sufficient conditions for guaranteeing the asymptotic stability of the closed-loop system are obtained.A numerical simulation is presented to illustrate the validity of the proposed method.

关 键 词：离散时滞系统 预见控制 重复控制 保性能 线性矩阵不等式 

分 类 号：TP273.5[自动化与计算机技术—检测技术与自动化装置] TP391[自动化与计算机技术—控制科学与工程]