Research on 2-order Time-delay Systems Based on Iterative Learning Control
ZHAN Yu-zhi1,LIANG Cheng-bin2,ZHANG Qing-fang1
1. Electrical Engineering College, Guizhou University, Guiyang, Guizhou 550025, China
2. College of Electrical and Information Engineering, Hunan University, Changsha, Hunan 410082, China
Abstract：For the process of systems characterized by 2-order delay differential equation, using the exact solution expressed by the delayed matrix sine and cosine an iterative learning control algorithm is designed to control the output of systems tracking to the desired output. A sufficient condition for output of delay systems converge to a given desired output with the increase number of iterations is given. And through iteration, the optimal control input can be obtained. The experimental results of the numerical simulation show that the designed iterative algorithm can make the output of the system converge to the desired output with the increase of the number of iterations, and the validity of the proposed method is verified.
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