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Discrete Output Regulator Design for the Linearized Saint–Venant–Exner Model
| Content Provider | MDPI |
|---|---|
| Author | Cassol, Guilherme Ozorio Dubljevic, Stevan |
| Copyright Year | 2020 |
| Description | 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. |
| Starting Page | 915 |
| e-ISSN | 22279717 |
| DOI | 10.3390/pr8080915 |
| Journal | Processes |
| Issue Number | 8 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-08-01 |
| Access Restriction | Open |
| Subject Keyword | Processes Automotive Engineering System of Hyperbolic Pdes Discrete Regulator Output Regulation Tracking |
| Content Type | Text |
| Resource Type | Article |
