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.
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