Finite-time iterative learning control: Feedback-aided strategies

This paper presents an iterative learning control scheme for linear systems in the presence of a fixed initial state shift between iterative initial state and the desired one. The finite-time control strategies are adopted in the design of iterative learning controllers, and feedback-aided strategies are applied as well. The sufficient conditions for convergence of the learning control algorithms are derived, and the limit trajectories by applying the learning algorithms are given, which are of finite-time convergence. Numerical simulation is carried out to verify effectiveness of the proposed feedback-aided learning control strategies.