Robustness of iterative learning control for a class offractional-order linear continuous-time switched systems in the sense of L^p norm  

作　　者：ZHANG Kejun PENG Guohua 

机构地区：[1]School of Natural and Applied Sciences,Northwestern Polytechnical University,Xi’an 710129,China [2]School of Math and Physical Sciences,Xuzhou Institute of Technology,Xuzhou 221018,China

出　　处：《Journal of Systems Engineering and Electronics》2019年第4期783-791,共9页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(61201323);the Special Fund Project for Promoting Scientific and Technological Innovation in Xuzhou City(KC18013);the Cultivation Project of Xuzhou Institute of Technology(XKY2017112)

摘　　要：For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching sequence,the performance of PDα-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 PDα-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.For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching sequence,the performance of PD~α-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~α-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.

关 键 词：FRACTIONAL-ORDER switched systems iterative learning control L^p NORM 

分 类 号：O17[理学—数学]