Robustness of iterative learning control for a class of fractional-order linear continuous-time switched systems in the sense of L

摘要

For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching sequence, the performance of PD alpha-type fractional-order iterative learning control (FOILC) is discussed in the sense of L-p norm. When the systems are disturbed by bounded external noises, robustness of the PD alpha-type algorithm is firstly analyzed in the iteration domain by taking advantage of the generalized Young inequality of convolution integral. Then, convergence of the algorithm is discussed for the systems without any external noise. The results demonstrate that, under some given conditions, both convergence and robustness can be guaranteed during the entire time interval. Simulations support the correctness of the theory.