Skip to Main content Skip to Navigation
Conference papers

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.
Complete list of metadata

Cited literature [24 references]  Display  Hide  Download
Contributor : Matthieu BARREAU Connect in order to contact the contributor
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


Files produced by the author(s)





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⟩



Record views


Files downloads