scholarly journals Design of Repetitive Control System for Linear Systems with Time-Varying Uncertainties

2005 ◽  
Vol 11 (1) ◽  
pp. 13-18
Keyword(s):  
Control System ◽  
Linear Systems ◽  
Repetitive Control ◽  
Time Varying

scholarly journals Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system

2016 ◽  
Vol 26 (2) ◽  
pp. 285-295 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Chaoyi Li ◽  
Changzhong Pan
Keyword(s):  
Control System ◽  
Output Feedback ◽  
Disturbance Rejection ◽  
Closed Loop ◽  
Repetitive Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Dimensional Model ◽  
Closed Loop System ◽  
Output Feedback Controller

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.

Laplace-type integral transform for time-varying periodic repetitive controller design

2018 ◽  
Vol 233 (2) ◽  
pp. 204-213
Author(s):  
Wu-Sung Yao ◽  
Po-Wen Hsueh
Keyword(s):  
Control System ◽  
Integral Transform ◽  
Controller Design ◽  
Integral Transformation ◽  
Repetitive Control ◽  
Periodic Signal ◽  
Time Varying ◽  
Type Integral ◽  
Laplace Type ◽  
Repetitive Controller

In this article, Laplace-type integral transformation is introduced to construct the recursive algorithm of the repetitive controller to regulate time-varying periodic signal. A theoretical analysis of Laplace-type integral transformation operator is adopted for time-varying repetitive controller design, where the stability and performance of the proposed repetitive control system are addressed. The implementation of the repetitive control strategy is investigated by a simulated example of the cycle ergometer. Results are given to illustrate that the proposed method is effectively used to analysis repetitive control system for the time-varying periodic signal regulation.

On the spectrum of discrete time-varying linear systems

2013 ◽  
Vol 9 ◽  
pp. 27-41 ◽  
Author(s):  
Adam Czornik ◽  
Michał Niezabitowski
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Time Varying
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