文章基本信息

标题：The control of drilling vibrations: A coupled PDE-ODE modeling approach
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作者：Belem Saldivar ; Sabine Mondié ; Juan Carlos Ávila Vilchis 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2016
卷号：26
期号：2
DOI：10.1515/amcs-2016-0024
出版社：De Gruyter Open
摘要：The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a nonlinear function describing the rock–bit interaction. We propose a systematic method to design feedback controllers guaranteeing ultimate boundedness of the system trajectories and leading consequently to the suppression of harmful dynamics. The proposal of a Lyapunov–Krasovskii functional provides stability conditions stated in terms of the solution of a set of linear and bilinear matrix inequalities (LMIs, BMIs). Numerical simulations illustrate the efficiency of the obtained control laws
关键词：drilling vibrations; LMI approach; ultimate boundedness; coupled wave-ODE system