Parameter Identification of a Linear Wave Equation From Experimental Boundary Data
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Titre | Parameter Identification of a Linear Wave Equation From Experimental Boundary Data |
Type de publication | Journal Article |
Year of Publication | 2021 |
Auteurs | Roman C, Ferrante F, Prieur C |
Journal | IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY |
Volume | 29 |
Pagination | 2166-2179 |
Date Published | SEP |
Type of Article | Article |
ISSN | 1063-6536 |
Mots-clés | Adjoint method, Aerospace electronics, Boundary conditions, Estimation, Infinite-dimensional systems, inverse problems, Lagrange multiplier, Mathematical model, Parameter identification, Propagation, Sensors, Wave equation |
Résumé | Parameter identification of a drill string is studied. The system is modeled as a hyperbolic system with dynamical boundary conditions. The considered model is a wave equation with spatial dependent elasticity and viscous damping terms. The identification problem is recast as an optimization problem over an infinite-dimensional space. The developed approach ensures that the estimates of the parameters lie in a given set. A gradient descent-based algorithm is proposed to generate parameter estimates based on experimental data. A thorough comparative study with more classical algorithms is presented. |
DOI | 10.1109/TCST.2020.3032714 |