An adaptive observer for hyperbolic systems with application to UnderBalanced Drilling

Florent Di Meglio (1) , Delphine Bresch-Pietri (2) , Aarsnes Ulf Jakob F. (3)

1 CAS - Centre Automatique et Systèmes
2 MIT - Massachusetts Institute of Technology
3 NTNU - Norwegian University of Science and Technology [Trondheim]

We present an adaptive observer design for a first-order hyperbolic system of Partial Differential Equations with uncertain boundary parameters. The design relies on boundary measurements only, and is based on a backstepping approach. Using a Gradient Descent technique, we prove exponential convergence of the distributed system and estimation of the parameter. This method is applied to the estimation of uncertain parameters during the process of oil well drilling.

Domaines: Systèmes et contrôle [cs.SY]

Florent Di Meglio, Delphine Bresch-Pietri, Aarsnes Ulf Jakob F.. An adaptive observer for hyperbolic systems with application to UnderBalanced Drilling. IFAC World Congress 2014, Aug 2014, South Africa. pp.11391-11397. ⟨hal-01059860⟩