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Late-lumping backstepping control of partial differential equations

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 PDE’s 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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01740646
Contributor : Jean Auriol <>
Submitted on : Thursday, March 22, 2018 - 11:16:04 AM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, September 13, 2018 - 8:35:08 AM

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Jean Auriol, Kirsten Morris, Florent Di Meglio. Late-lumping backstepping control of partial differential equations. Automatica, Elsevier, 2019, 100, pp.247 - 259. ⟨10.1016/j.automatica.2018.11.024⟩. ⟨hal-01740646⟩

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