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Article

Discrete Output Regulator Design for the Linearized Saint–Venant–Exner Model

Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
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Author to whom correspondence should be addressed.
Processes 2020, 8(8), 915; https://doi.org/10.3390/pr8080915
Received: 25 June 2020 / Revised: 19 July 2020 / Accepted: 24 July 2020 / Published: 1 August 2020
(This article belongs to the Special Issue Redesign Processes in the Age of the Fourth Industrial Revolution)
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. View Full-Text
Keywords: system of hyperbolic PDEs; discrete regulator; output regulation; tracking system of hyperbolic PDEs; discrete regulator; output regulation; tracking
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MDPI and ACS Style

Cassol, G.O.; Dubljevic, S. Discrete Output Regulator Design for the Linearized Saint–Venant–Exner Model. Processes 2020, 8, 915. https://doi.org/10.3390/pr8080915

AMA Style

Cassol GO, Dubljevic S. Discrete Output Regulator Design for the Linearized Saint–Venant–Exner Model. Processes. 2020; 8(8):915. https://doi.org/10.3390/pr8080915

Chicago/Turabian Style

Cassol, Guilherme Ozorio, and Stevan Dubljevic. 2020. "Discrete Output Regulator Design for the Linearized Saint–Venant–Exner Model" Processes 8, no. 8: 915. https://doi.org/10.3390/pr8080915

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