Exponential stability analysis of the drilling system described by a switched neutral type delay equation with nonlinear perturbations

Author

Saldivar, Belem ; Mondié, Sabine ; Loiseau, Jean-Jacques ; Rasvan, Vladimir

Author_Institution

Dept. of Autom. Control, Cinvestav, Mexico City, Mexico

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

4164

Lastpage

4169

Abstract

This paper deals with the exponential stability analysis of switched neutral systems under certain state-dependent switching rules with nonlinear perturbations bounded in magnitude. The proposal of an energy functional allow us to investigate the asymptotic and exponential stability of switched neutral systems through the solution of linear matrix inequalities. The results are illustrated with the exponential stability analysis of an oilwell drilling system allowing a significant reduction of the stick slip behavior.

Keywords

asymptotic stability; delays; linear matrix inequalities; oil drilling; perturbation techniques; stick-slip; time-varying systems; asymptotic stability; energy functional; exponential stability analysis; linear matrix inequalities; nonlinear perturbations; oilwell drilling system; state-dependent switching rules; stick slip behavior; switched neutral systems; switched neutral type delay equation; Asymptotic stability; Bismuth; Delay; Mathematical model; Stability analysis; Switches; Torque;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6160390

Filename

6160390