标题：Fractional Order Iterative Learning Control for Fractional Order System with Unknown Initialization
作者：Li, Yan; Chen, YangQuan; Ahn, Hyo-Sung
作者机构：[Li, Yan] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China.
会议名称：American Control Conference
会议日期：DEC 04-06, 2014
来源：2014 AMERICAN CONTROL CONFERENCE (ACC)
摘要：This paper reveals a previously ignored problem for fractional order iterative learning control (FOILC) that the fractional order system may have different behaviors when it is initialized differently. To implement a novel scheme of FOILC for this so-called initialized fractional order system, a D-alpha-type control law is applied, and the convergence condition is derived by using the short memory principle and the system preconditioning, which guarantees the repeatability of initialized fractional order system. Given a permitted error bound, the minimum preconditioning time horizon is calculated from the short memory principle. The relationships of memory and convergent performance are highlighted to show the necessity of preconditioning. A fractional order capacitor model with constant history function is illustrated to support the above conclusions.