含非线性项的2D时变系统迭代学习控制

Iterative Learning Control for 2D Time Varying Systems with Nonlinear Terms

基于2D系统理论,对含有非线性项的时变系统的迭代学习控制进行了讨论。首先,考虑了2D Roesser模型的收敛性条件;然后将非线性系统转化为Roesser模型;接着基于此模型设计了一种新型的学习率,证明了在此学习率的作用下系统是收敛的;最后,对一个实际系统进行了数值仿真,并与离散差分型算法进行比较,验证了所提方法的正确性。

A two-dimensional （2D） system theory based Iterative Learning Control （ILC） method is presented for a class of nonlinear time-variant systems. Firstly, the sut^cient conditions for the convergence of the 2D Roesser model are discussed. Then the system is turned into a 2D Roesser model, and based on the Roesser model a new ILC algorithm is given and the convergence is proved. Finally, a numerical simulation is presented to compare the new algorithm with the discrete differentiating ILC learning rules. The resuhs show the effectiveness of the proposed method.