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 indica...
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