Precise tracking control via iterative learning for one-sided Lipschitz Caputo fractional-order systems

Abstract

This paper investigates iterative learning control for Caputo fractional-order systems with one-sided Lipschitz nonlinearity. Both open- and closed-loop P-type learning algorithms are proposed to achieve perfect tracking for the desired trajectory, and their convergence conditions are established. It is shown that the algorithms can make the output tracking error converge to zero along the iteration axis. A simulation example illustrates the application of the theoretical findings, and shows the effectiveness of the proposed approach.

Keywords

• fractional-order systems
• one-sided lipschitz nonlinearity
• p-type learning algorithm
• iterative learning control