Exponential Stabilization of a Class of Nonlinear Neutral Type Time-Delay Systems, an Oilwell Drilling Model Example

Martha Belem Saldivar (1, 2) , Alexandre Seuret (3, 4) , Sabine Mondié (1)

1 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
3 NECS - Networked Controlled Systems
4 GIPSA-lab - Grenoble Images Parole Signal Automatique

This paper deals with exponential stabilization of the class of nonlinear neutral type time-delay systems that can be transformed into a multi-model system. The approach is based on Lyapunov-Krasovskii techniques and uses a descriptor representation. The exponential stability properties are proved using an appropriate change of variables associated with a polytopic representation. The results are given in terms of LMIs. As an application example, we determine an e ective stabilizing controller for an oilwell drilling system.

Domaines: Automatique / Robotique

Martha Belem Saldivar, Alexandre Seuret, Sabine Mondié. Exponential Stabilization of a Class of Nonlinear Neutral Type Time-Delay Systems, an Oilwell Drilling Model Example. CCE 2011 - 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Oct 2011, Mérida City, Yucatan, Mexico. pp.n.c. ⟨hal-00632606⟩