LAPSE:2020.1189
Published Article
LAPSE:2020.1189
Discrete Output Regulator Design for the Linearized Saint−Venant−Exner Model
December 17, 2020
This manuscript addresses the regulator design in the discrete-time setting for the unstable linearized Saint−Venant−Exner model, which describes the dynamics of a sediment-filled water canal. The proposed regulator ensures the closed-loop stability and proper tracking of polynomial and periodic reference signals using output feedback in a sample-data setting. To design this regulator, the system discrete representation is achieved by the application of the structure-preserving Cayley-Tustin time discretization and the direct relation with the regulator in the continuous-time setting is shown. The regulator design in the continuous-time setting is developed using the backstepping methodology ensuring the closed-loop stability and the observer design, while the Sylvester equations are solved to achieve proper tracking. Finally, the numerical simulation results are presented to show the performance of the regulator.
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Keywords
discrete regulator, output regulation, system of hyperbolic PDEs, tracking
Subject
Suggested Citation
Cassol GO, Dubljevic S. Discrete Output Regulator Design for the Linearized Saint−Venant−Exner Model. (2020). LAPSE:2020.1189
Author Affiliations
Journal Name
Processes
Volume
8
Issue
8
Article Number
E915
Year
2020
Publication Date
2020-08-01
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr8080915, Publication Type: Journal Article
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Published Article
LAPSE:2020.1189
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External Link
doi:10.3390/pr8080915
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Version History
[v1] (Original Submission)
Dec 17, 2020
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Dec 17, 2020
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https://psecommunity.org/LAPSE:2020.1189
Original Submitter
Calvin Tsay
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