Late-lumping backstepping control of partial differential equations
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Date
2019-02
Authors
Auriol, Jean
Morris, Kirsten
Di Meglio, Florent
Advisor
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