The control of drilling vibrations: a coupled PDE-ODE modeling approach

DOI10.1515/AMCS-2016-0024zbMath1347.93047OpenAlexW2460428553MaRDI QIDQ326222

Juan Carlos Ávila Vilchis, Belem Saldivar, Sabine Mondié

Publication date: 12 October 2016

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amcs-2016-0024

zbMATH Keywords

ultimate boundednessLMI approachcoupled wave-ODE systemdrilling vibrations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Application models in control theory (93C95) Vibrations in dynamical problems in solid mechanics (74H45) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Rapid exponential stabilization by boundary state feedback for a class of coupled nonlinear ODE and \(1-d\) heat diffusion equation ⋮ Exponential stabilization of cascade ODE-linearized KdV system by boundary Dirichlet actuation ⋮ Mixed ‐synthesis for ‐stability ⋮ On the coupling of well posed differential models ⋮ Local exponential stabilization of a coupled ODE-Fisher's PDE system ⋮ Robust Stability of a Nonlinear ODE-PDE System

Uses Software

• PENNON

Cites Work

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