Abstract

AbstractIn 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.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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