一类线性离散时间大系统的预见重复控制

Preview Repetitive Control for a Class of Linear Discrete-Time Large-Scale Systems

文章针对一类线性离散时间大系统提出一种预见重复控制方法.结合预见控制和重复控制的优势,构造带有预见补偿作用和学习能力的控制器,即预见重复控制器,实现对预见周期性目标值信号的跟踪.首先,通过状态增广技术和二维模型方法,构造包含可预见目标值信号的二维扩大误差系统;其次,针对扩大误差系统,分别考虑状态反馈和输出反馈,并基于Lyapunov函数方法及线性矩阵不等式(LMI)技巧给出预见重复控制器设计方法.最后,通过比较预见重复控制、重复控制和预见控制,表明文章结果的有效性.

In this paper,the preview repetitive control method is proposed for a class of linear discrete-time large-scale systems.The controller with preview compensation and learning actions(i.e.,preview repetitive controller)is constructed by combining the advantages of preview control and repetitive control,and the tracking of the periodic and previewable desired trajectory is achieved.First,a 2D augmented error system including previewed information is constructed based on the state augmentation technique and 2D model method.Then,for the 2D augmented error system,the state feedback and output feedback are both considered,respectively.And based on Lyapunov function method and LMI technique,the design methods of preview repetitive controllers are given.Finally,the effectiveness of the results in this paper is illustrated by comparing preview repetitive control,repetitive control and preview control.