Robust disturbance rejection for repetitive control systems with time‐varying nonlinearities

2019 ◽  
Vol 29 (5) ◽  
pp. 1597-1612 ◽  
Author(s):  
Pan Yu ◽  
Kang‐Zhi Liu ◽  
Jinhua She ◽  
Min Wu ◽  
Yosuke Nakanishi
2016 ◽  
Vol 26 (2) ◽  
pp. 285-295 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Chaoyi Li ◽  
Changzhong Pan

Abstract This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.


2014 ◽  
Vol 22 (3) ◽  
pp. 1044-1051 ◽  
Author(s):  
Min Wu ◽  
Baogang Xu ◽  
Weihua Cao ◽  
Jinhua She

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