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

Processes

Stevan Dubljevic¹  Guilherme Ozorio Cassol¹ 

[1] Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada;

关键词: system of hyperbolic PDEs;    discrete regulator;    output regulation;    tracking;   

DOI  :  10.3390/pr8080915

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown