Abstract
Since the transfer function of sampled-data systems with a short sampling period frequently has zeros outside the unit circle, it is recognized that iterative learning control (ILC), which is an iterative approach to obtain an inversion of a system, cannot be applied to such systems. In order to overcome this difficulty, we introduce a non-causal bounded inversion to a sampled-data system and investigate the limiting property of the inversion. We demonstrate a simple relation between the η-th differential operator and n Euler operators that are included in the pulse transfer function of the η-th integral element. Based on this relation, we prove that the inversion of the sampled-data system approximates its continuous-time counterpart in a non-causal framework. This result suggests that ILC can be applied to sampled-data systems in this framework.
