06052056

j

06052056 Li, Yan Chen, YangQuan Ahn, Hyo-Sung Fractional-order iterative learning control for fractional-order linear systems. Asian J. Control 13, No. 1, 54-63 (2011). 2011 Wiley-Blackwell, Richmond, VIC EN fractional calculus iterative learning control

doi:10.1002/asjc.253

Summary: 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 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.