FRACTIONAL-ORDER ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR SYSTEMS

Abstract

In this paper, we discuss in time domain the convergence of the iterative process for fractional-order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional-order and integer-order iterative learning schemes are proved to be equivalent for D=0. It has been proved by theory and verified by MATLAB/SIMULINK that the tracking speed is the fastest when the system and iterative learning scheme have the same fractional order.