Optimal Repetitive Control Based on Two-Dimensional Hybrid Model

Author(s):  
Lan Yonghong ◽  
WuMin ◽  
She Jinhua
2009 ◽  
Vol 35 (7) ◽  
pp. 945-952 ◽  
Author(s):  
Min WU ◽  
Lan ZHOU ◽  
Jin-Hua SHE ◽  
Yong HE

2016 ◽  
Vol 25 (06) ◽  
pp. 1650061 ◽  
Author(s):  
Zhen Shao ◽  
Zhengrong Xiang

This paper concerns the design of an observer-based repetitive control system (RCS) to improve the periodic disturbance rejection performance. The periodic disturbance is estimated by a repetitive learning based estimator (RLE) and rejected by incorporation of the estimation into a repetitive control (RC) input. Firstly, the configuration of the observer-based RCS with the RLE is described. Then, a continuous–discrete two-dimensional (2D) model is built to describe the RCS. By choosing an appropriate Lyapunov functional, a sufficient condition is proposed to guarantee the stability of the RCS. Finally, a numerical example is given to verify the effectiveness of the proposed method.


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