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Conference Papers Year : 2018

Exponential Lyapunov Stability Analysis of a Drilling Mechanism

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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Dates and versions

hal-01725416 , version 1 (07-03-2018)
hal-01725416 , version 2 (19-07-2018)
hal-01725416 , version 3 (05-09-2018)

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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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