Title :
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
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;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160390
