Design and application of self-adaptive feedback compensation controller based on Dynamic Recurrent Neural Network ZHAO Xu , MENG Xiang-ping (1. Electric and Information Engineer School,Changchun Engineer Uniersity, Changchum,Jilin Province 130012, China ; 2.Electric and Information Engineer School ,Beihua University,Jilin Jilin province ,132021,China) Abstract: The vary character of both side of rolling mill hydraulic pressing system leads to an unequal horizontal thickness difference distribution of strip which affects strip shape directly .In order to resolve this problem, the neural network self-adaptive PID based on Dynamic Recurrent Neural Network was used in feedback circle of rolling mill hydraulic pressing system to improve the synchronization of both side of rolling mill hydraulic pressing system .The results of simulation tests indicate this method can satisfy the demands of the controlled object for the high precision synchronous control. keywords: Hydraulics servo; Dynamic Recurrent Neural Network; shape control ;recursive prediction error algorithm