Design of observer-based discrete repetitive-control system based on 2D model

2014 ◽  
Vol 21 (11) ◽  
pp. 4236-4243 ◽  
Author(s):  
Zhao-hong Wang ◽  
Ling-zhi Yi ◽  
Yong-hong Lan ◽  
Cai-xue Chen
Keyword(s):  
Control System ◽  
Repetitive Control ◽  
2D Model

Design of an Observer-Based Repetitive Control System to Reject Periodic Disturbance

2016 ◽  
Vol 25 (06) ◽  
pp. 1650061 ◽  
Author(s):  
Zhen Shao ◽  
Zhengrong Xiang
Keyword(s):  
Control System ◽  
Disturbance Rejection ◽  
Lyapunov Functional ◽  
Repetitive Control ◽  
Sufficient Condition ◽  
Two Dimensional ◽  
Periodic Disturbance ◽  
Repetitive Learning ◽  
The Stability ◽  
2D Model

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.

Design of a modified repetitive-control system based on a continuous–discrete 2D model

Automatica ◽  
2012 ◽  
Vol 48 (5) ◽  
pp. 844-850 ◽  
Author(s):  
Jinhua She ◽  
Lan Zhou ◽  
Min Wu ◽  
Jie Zhang ◽  
Yong He
Keyword(s):  
Control System ◽  
Repetitive Control ◽  
2D Model

Stability Robustness of Repetitive Control Systems With Zero Phase Compensation

1990 ◽  
Vol 112 (3) ◽  
pp. 320-324 ◽  
Author(s):  
C. C. H. Ma
Keyword(s):  
Control System ◽  
Large Class ◽  
Control Systems ◽  
Repetitive Control ◽  
Tracking Performance ◽  
Three Solutions ◽  
Phase Compensation ◽  
Saturation Nonlinearity ◽  
Stability Robustness ◽  
Zero Phase

It is shown that a special zero phase control (ZPC) system introduced by Tomizuka is L∞ stable against a large class of common nonlinearities. However, it still suffers from the generic nonrobustness problem associated with a linear repetitive control system when subjected to a saturation nonlinearity. For the special ZPC system, however, three solutions exist for the problem, two of which do not degrade the repetitive tracking performance.

Design of Observer-Based $H_{\infty}$ Robust Repetitive-Control System

2011 ◽  
Vol 56 (6) ◽  
pp. 1452-1457 ◽  
Author(s):  
Min Wu ◽  
Lan Zhou ◽  
Jinhua She
Keyword(s):  
Control System ◽  
Repetitive Control
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