二维线性离散系统理论在迭代学习控制中的应用

The application of two-dimensional linear discrete system theory in the design of iterative learning control

利用二维线性离散系统理论设计了线性离散控制系统的迭代学习控制器 ,并给出了这种迭代学习控制规律收敛的充要条件 .该迭代学习控制器较为简单 ,且在应用中受到的限制也较少 ,说明二维线性离散系统理论在线性离散系统迭代学习控制中的应用是成功的 .

A kind of iterative learning control(ILC) approach for linear discrete control system based on the theory of the two dimensional(2 D) linear discrete system is presented in this paper. Also, the convergence conditions of the kind of ILC rule is derived. It is proved that the application of 2 D linear discrete system theory in the design of ILC for linear discrete system is successful, and the derived ILC rule is simple and less restrictive.