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Exponential Lyapunov Stability Analysis of a Drilling Mechanism

Matthieu Barreau 1 Alexandre Seuret 1 Frédéric Gouaisbaut 1 
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The aim is to derive a linear matrix inequality ensuring the exponential stability with a guaranteed decay-rate of this interconnected system. A strictly proper dynamic controller based on boundary measurements is proposed to accelerate the system dynamics and its effects are investigated through the stability theorem and simulations. It results in an efficient finite dimension controller which subsequently improves the system performances.
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https://hal.laas.fr/hal-01725416
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Submitted on : Wednesday, September 5, 2018 - 4:11:40 PM
Last modification on : Monday, July 4, 2022 - 9:00:55 AM
Long-term archiving on: : Thursday, December 6, 2018 - 4:00:38 PM

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Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut. Exponential Lyapunov Stability Analysis of a Drilling Mechanism. 57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018, Andrew R. Teel, Dec 2018, Miamy, United States. ⟨10.1109/CDC.2018.8619797⟩. ⟨hal-01725416v3⟩

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