研究一类分布参数系统的迭代学习控制问题,该类分布参数系统由二阶非线性双曲型偏微分方程构成.针对系统所满足的性质.基于P型学习律构建得到迭代学习控制律,利用压缩映射原理,证明这种学习律能使得系统的输出跟踪误差于$L^2$ 空间内沿迭代轴方向收敛.数值例子说明了算法的可适用性.

The problem f iterative learning control algorithm for a class of dis-tributed parameter systems is considered. Here, the considered distributed parameter
systems are composed of second order nonlinear hyperbolic partial differential equa- tions. According to system properties, iterative learning control laws are proposed for such nonlinear hyperbolic distributed parameter systems based on P-type learn- ing scheme. Using the contraction mapping method, it is shown that the scheme can guarantee the output tracking errors on L2 space converge along the iteration axis. A numerical example illustrates the effectiveness of the proposed method.