Discrete-time Repetitive Control of LTI Systems Sampled at a Periodic Rate

1996 ◽  
Vol 29 (1) ◽  
pp. 1458-1463 ◽  
Author(s):  
Reed D. Hanson ◽  
Tsu-Chin Tsao
Keyword(s):  
Discrete Time ◽  
Repetitive Control

scholarly journals Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

Algorithms ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 20 ◽  
Author(s):  
Yong-Hong Lan ◽  
Jun-Jun Xia ◽  
Yue-Xiang Shi
Keyword(s):  
Dynamic System ◽  
Control Problem ◽  
Discrete Time ◽  
Repetitive Control ◽  
Original System ◽  
Linear Matrix ◽  
Discrete Time Systems ◽  
Guaranteed Cost ◽  
Time Systems ◽  
Repetitive Controller

In this paper, a robust guaranteed-cost preview repetitive controller is proposed for a class of polytopic uncertain discrete-time systems. In order to improve the tracking performance, a repetitive controller, combined with preview compensator, is inserted in the forward channel. By using the L-order forward difference operator, an augmented dynamic system is constructed. Then, the guaranteed-cost preview repetitive control problem is transformed into a guaranteed-cost control problem for the augmented dynamic system. For a given performance index, the sufficient condition of asymptotic stability for the closed-loop system is derived by using a parameter-dependent Lyapunov function method and linear matrix inequality (LMI) techniques. Incorporating the controller obtained into the original system, the guaranteed-cost preview repetitive controller is derived. A numerical example is also included, to show the effectiveness of the proposed method.

Discrete time linear optimal multi-periodic repetitive control: a benchmark tracking solution

2006 ◽  
Vol 79 (9) ◽  
pp. 991-1001 ◽  
Author(s):  
D. H. Owens ◽  
M. Tomas-Rodriguez ◽  
J. J. Hatönen ◽  
L. M. Li
Keyword(s):  
Discrete Time ◽  
Repetitive Control ◽  
Time Linear

Design of Robust Discrete-Time Observer-Based Repetitive-Control System

2013 ◽  
Vol 16 (2) ◽  
pp. 509-518 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Shaowu Zhou ◽  
Min Wu
Keyword(s):  
Control System ◽  
Discrete Time ◽  
Repetitive Control
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