Linear systems with the affine model of parametric uncertainty that operate in a repetitive mode are considered. For such systems, a new iterative learning control design method is proposed. This method is based on the use of a full-order state observer and an auxiliary 2D model in the form of a differential repetitive process whose stability guarantees the convergence of the learning process. For obtaining stability conditions, the divergent method of vector Lyapunov functions is used. An example illustrating the features and advantages of the new iterative learning control design method is presented.

中文翻译：

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不确定连续时间系统基于状态观测器的迭代学习控制

考虑具有以重复模式运行的参数不确定性的仿射模型的线性系统。针对这种系统，提出了一种新的迭代学习控制设计方法。该方法基于使用微分重复过程形式的全阶状态观察器和辅助2D模型，其稳定性保证了学习过程的收敛性。为了获得稳定性条件，使用了向量Lyapunov函数的发散方法。举例说明了新型迭代学习控制设计方法的特点和优点。