Abstract:

The monotone convergence of PD^α-type fractionalorder iterative learning control is discussed for a class of fractional-order linear system. First, the convergences of first and second-order PD^α-type control algorithms are analyzed and the sufficient conditions for the monotone convergence are deduced in the sense of Lebesgue^p(L^p) norm, and extended to the convergence condition of the N order control algorithm. Then, the convergence speeds of both control algorithms are described in detail. The analysis indicates that the sufficient condition of the control algorithm is determined by the learning gains and the attributes of the system itself. The simulation experiment validates the correctness of the theory and the feasibility of this algorithm.