A Dual Internal Model Based Repetitive Control for Linear Discrete-Time Systems

2018 ◽  
pp. 1-1 ◽  
Author(s):  
Qiao Zhu
Keyword(s):  
Discrete Time ◽  
Internal Model ◽  
Repetitive Control ◽  
Model Based ◽  
Discrete Time Systems ◽  
Time Systems

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.

Fuzzy model-based nonfragile control of switched discrete-time systems

2018 ◽  
Vol 93 (4) ◽  
pp. 2461-2471 ◽  
Author(s):  
Bo Wang ◽  
Dian Zhang ◽  
Jun Cheng ◽  
Ju H. Park
Keyword(s):  
Discrete Time ◽  
Fuzzy Model ◽  
Model Based ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Nonfragile Control

An Optimality-Based Repetitive Control Algorithm for Discrete-Time Systems

2008 ◽  
Vol 55 (1) ◽  
pp. 412-423 ◽  
Author(s):  
C.T. Freeman ◽  
P.L. Lewin ◽  
E. Rogers ◽  
D.H. Owens ◽  
J. Hatonen
Keyword(s):  
Discrete Time ◽  
Control Algorithm ◽  
Repetitive Control ◽  
Discrete Time Systems ◽  
Time Systems
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