迭代学习控制与二维分析

The Iterative Learning Control and 2-D Analysis

本文探讨了在学习时间有限和无限情形下用二维系统方法分析迭代学习控制的可能性,给出线性离散系统在开环与闭环学习中各种学习律下的稳定与收敛的充要条件,并比较了各种学习律的收敛速度,指出随着学习次数的增加,在一定条件下,P型学习与其它类型的学习算法具有相同的收敛速度。

The feasibility of the analysis of the iterative learning control based on the two-dimensional system (2-D) theory is discussed in the paper, when the learning time is limited or inlimited. The necessary and sufficient conductions of stability and convergency of the open-loop and closed-loop iterative learning control in the various type learning rules are proofed. The convergence speed is discussed based on the rules. It is proofed that P-type learning, whenever in open-loop or closed-loop learning, have the same stability, convergency and convergence speed in some condiction.