Iterative learning control for dynamics systems with time-varying disturbance rejection through Hilfer fractional derivative

Abstract

In this work, we examine Hilfer fractional derivative-based iterative learning control (ILC) for a dynamic system with time-varying disturbance rejection. To estimate individually, an ILC algorithm is created. disturbances coming from the channels that are not input. To improve system performance in the face of time-varying disturbances, a $D$-type ILC law with disturbance compensation is then used. A numerical example is provided to show the efficacy of the suggested algorithm and validate the theoretical analysis.