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Late-lumping backstepping control of partial differential equations

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Late-lumping backstepping control of PDEs_Oct.pdf (761.8 KB)

Date

2019-02

Authors

Auriol, Jean
Morris, Kirsten
Di Meglio, Florent

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

We consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. The backstepping controllers are approximated and it is proven that the finite-dimensional approximated controller stabilizes the original system if the order is high enough. This approach is known as late-lumping. The other approach to controller design for PDEs first approximates the PDE and then a controller is designed; this is known as early-lumping. Simulation results comparing the performance of late-lumping and early-lumping controllers are provided.

Description

The final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2018.11.024. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

partial differential equations, stabilization, backstepping, late-lumping

LC Keywords

Citation

URI

https://doi.org/10.1016/j.automatica.2018.11.024
 http://hdl.handle.net/10012/16039

Collections

Waterloo Research
Applied Mathematics