Closed loop variable gain ILC for a class of nonlinear parabolic distributed parameter systems with moving boundaries

Abstract

AbstractThis article researched the output tracking problem of a class of nonlinear parabolic distributed parameter systems with moving boundaries. Considering the large deviation of the initial state reset of the system, a closed‐loop variable gain accelerated iterative learning control algorithm is designed. And sufficient condition for the convergence of the tracking error is given. Through rigorous theoretical analysis guaranteed that the tracking error of the system converges to zero in the positive direction of the iteration axis in the sense of the norm. Finally, the effectiveness of the designed algorithm is verified by a numerical simulation.