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Fast algorithm of iterative learning control based on geometric analysis

XIE Sheng-li, TIAN Sen-ping, XIE Zhen-dong (1. Institute of Radio and Automatic Control, South China University of Technology, Guangdong Guangzhou 510640,China; 2.Department of Automation, South China University of Technology, Guangdong Guangzhou 510640,China)  
Based on geometric analysis, the iterative learning control is discussed. Under the geometric structure, a fast algorithm is obtained. The algorithm is absolutely different from the previous algorithms and constitutes a new approach to the iterative learning control. This new approach can indicate one to design some better learning algorithms clearly, while the previous studies are restricted to its essential form of algorithms presented by Arimoto( 1984). Some numerical simulations are given to show its efficiency and superiority.
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