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Robust Discrete-Time Spatial Repetitive Controller

delete2019-11-01
delete7
PRE
AI
R
R. Castro
J
Jeferson Vieira Flores
A
Aurélio T. Saltón *
DOI:10.1109/TCST.2018.2866978delete
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Abstract

Abstract

En 中文
This brief proposes a novel discrete-time realization of the spatial repetitive controller topology, an internal model principle-based regulator, which deals with the exogenous position-dependent periodic signals. A simple procedure is proposed in order to estimate the time-varying delay required to implement this spatial controller, resulting in a single recursive equation. A robust synthesis methodology based on a convex optimization problem constrained by linear matrix inequalities is also presented in order to guarantee the closed-loop system stability and performance in the presence of uncertain plant dynamics. The proposed design and implementation methods are validated on a direct current motor subject to angle-dependent disturbances.
Keywords:
Delays
Robustness
Time-domain analysis
Mathematical model
Rotating machines
Asymptotic stability
Transfer functions
Internal model principle (IMP)
output regulation
repetitive control
rotating machines
spatial-dependent signals

Journal

IEEE Transactions on Control Systems Technology cover
IEEE Transactions on Control Systems Technology
IF:
3.9
Papers:
4.9K
Citations:
1.7W

Organization

P
pontificia universidade catolica do rio grande do sul
Scholars:
4.2K
Papers: 2.4K
Citations: 2
U
Universidade Federal do Rio Grande do Sul
Scholars:
2.6W
Papers: 1.7W
Citations: 1.6W
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