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

Math Biosci Eng. 2024 Jan 31;21(2):3095-3109. doi: 10.3934/mbe.2024137.

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: P-type learning algorithm; fractional-order systems; iterative learning control; one-sided Lipschitz nonlinearity.