Robust Conditions for Iterative Learning Control in State Feedback and Output Injection Paradigm

A robust Iterative Learning Control (ILC) design that uses state feedback and output injection for linear time-invariant systems is reintroduced. ILC is a control tool that is used to overcome periodic disturbances in repetitive systems acting on the system input. The design basically depends on the...

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Bibliographic Details
Main Authors: Muhammad A. Alsubaie, Mubarak KH. Alhajri, Tarek S. Altowaim, Salem H. Salamah
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/8023730
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Summary:A robust Iterative Learning Control (ILC) design that uses state feedback and output injection for linear time-invariant systems is reintroduced. ILC is a control tool that is used to overcome periodic disturbances in repetitive systems acting on the system input. The design basically depends on the small gain theorem, which suggests isolating a modeled disturbance system and finding the overall transfer function around the delay model. This assures disturbance accommodation if stability conditions are achieved. The reported design has a lack in terms of the uncertainty issue. This study considered the robustness issue by investigating and setting conditions to improve the system performance in the ILC design against a system’s unmodeled dynamics. The simulation results obtained for two different systems showed an improvement in the stability margin in the case of system perturbation.
ISSN:1687-5249
1687-5257