ILC for a Class of Linear Parabolic DPSs with Moving Boundaries

This article focuses on the iterative learning control problem of a class of linear parabolic distributed parameter systems, which has the characteristic that the boundaries of the spatial domain change continuously with time. Then, the open-loop P-type iterative learning method is used to study the system output tracking problem. Through rigorous theoretical analysis, some methods such as the contraction mapping approach and Bellman-Gronwall inequality are used to prove the convergence of the tracking error. Finally, the effectiveness of the algorithm is verified by numerical simulation.