Second‐order PD ^α ‐type iterative learning control for fractional‐order linear time‐delay switched systems with noise

Abstract The purpose of the paper is to introduce a novel second‐order PD ‐type fractional‐order iterative learning control algorithm for a broad class of fractional‐order linear continuous‐time switched systems with time delay. The convergence of the proposed second‐order PD ‐type fractional‐order iterative learning control algorithm is analyzed in the absence of external noise. The robustness of the system is examined under bounded measurement noise. The proposed second‐order PD ‐type fractional‐order iterative learning control algorithm outperforms the first‐order counterpart studied by Zhang and Peng (2020) and classic PD‐type ILC. Simulation results demonstrate the effectiveness and feasibility of the proposed algorithm.