A generalized fractional-order iterative learning control

In this paper, we discuss in time domain the convergence of the iterative process for fractional-order nonlinear systems. A linear adaptive generalized fractional-order iterative learning control scheme is derived, which guarantees the convergence of the algorithm without the knowledge of the system order. The implementation of generalized fractional-order iterative learning controllers can be achieved by using the idea of fractional-order element networks. Most of the classical fractional-order iterative learning control methods fall into the scheme of this paper. A number of numerical simulations are illustrated to validate the concepts.