Preview repetitive control for linear discrete‐time periodic systems

2021 ◽  
Author(s):  
Li Li ◽  
Yanrong Lu
Keyword(s):  
Discrete Time ◽  
Repetitive Control ◽  
Periodic Systems ◽  
Time Periodic

scholarly journals Optimal Preview Control for Linear Discrete-Time Periodic Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Fucheng Liao ◽  
Mengyuan Sun ◽  
Usman
Keyword(s):  
Discrete Time ◽  
Original Problem ◽  
Control Method ◽  
Original System ◽  
Periodic Systems ◽  
Invariant System ◽  
Preview Control ◽  
Time Invariant ◽  
Time Periodic ◽  
Time Invariant System

In this paper, the optimal preview tracking control problem for a class of linear discrete-time periodic systems is investigated and the method to design the optimal preview controller for such systems is given. Initially, by fully considering the characteristic that the coefficient matrices are periodic functions, the system can be converted into a time-invariant system through lifting method. Then, the original problem is also transformed into the scenario of time-invariant system. Later on, the augmented system is constructed and the preview controller of the original system is obtained with the help of existing preview control method. The controller comprises integrator, state feedback, and preview feedforward. Finally, the simulation example shows the effectiveness of the proposed preview controller in improving the tracking performance of the close-loop system.

Robust H2 perfomance of discrete-time periodic systems: LMIs with reduced dimensions

2008 ◽  
Vol 41 (2) ◽  
pp. 1348-1353 ◽  
Author(s):  
Dimitri Peaucelle ◽  
Yoshio Ebihara ◽  
Denis Arzelier
Keyword(s):  
Discrete Time ◽  
Periodic Systems ◽  
Reduced Dimensions ◽  
Time Periodic

Stability Radius and Optimal Scaling of Discrete-Time Periodic Systems

2001 ◽  
Vol 34 (12) ◽  
pp. 179-182
Author(s):  
Y. Genin ◽  
I. Ipsen ◽  
R. Ştefan ◽  
P. Van Dooren
Keyword(s):  
Discrete Time ◽  
Optimal Scaling ◽  
Stability Radius ◽  
Periodic Systems ◽  
Time Periodic
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