DocumentCode :
183581
Title :
Adaptive output feedback for oil drilling stick-slip instability modeled by wave PDE with anti-damped dynamic boundary
Author :
Bresch-Pietri, Delphine ; Krstic, Miroslav
Author_Institution :
Dept. of Mech. Eng., Massachusetts Inst. of Technol., Cambridge, MA, USA
fYear :
2014
fDate :
4-6 June 2014
Firstpage :
386
Lastpage :
391
Abstract :
We develop an adaptive output-feedback controller for a wave PDE in one dimension with actuation on one boundary and with an unknown anti-damping dynamics on the opposite boundary. This model is representative of drill string torsional instabilities arising in deep oil drilling, for which the model of bottom interaction with the rock is poorly known. The key feature of the proposed controller is that it requires only the measurements of boundary values and not of the entire distributed state of the system. Our approach is based on employing Riemann variables to convert the wave PDE into a cascade of two delay elements, with the first of the two delay elements being fed by control and the same element in turn feeding into a scalar ODE. This enables us to employ a prediction-based design for systems with input delays, suitably converted to the adaptive output-feedback setting. The result´s relevance and ability to suppress undesirable torsional vibrations of the drill string in oil well drilling systems is illustrated with simulation example.
Keywords :
adaptive control; delays; feedback; oil drilling; partial differential equations; stick-slip; vibration control; Riemann variables; adaptive output-feedback controller; anti-damped dynamic boundary; boundary values; deep oil drilling; delay elements; drill string torsional instabilities; oil drilling stick-slip instability; oil well drilling systems; prediction-based design; scalar ODE; undesirable torsional vibration suppression; wave PDE; Adaptation models; Delays; Equations; Friction; Mathematical model; Rocks; Torque; Distributed parameter systems; Indirect adaptive control; Process control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2014
Conference_Location :
Portland, OR
ISSN :
0743-1619
Print_ISBN :
978-1-4799-3272-6
Type :
conf
DOI :
10.1109/ACC.2014.6858642
Filename :
6858642
Link To Document :
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