2018
DOI: 10.1051/matecconf/201814816005
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Proportional-Derivative Control of Stick-Slip Oscillations in Drill-Strings

Abstract: Abstract. Stick-slip oscillation in drill-string is a universal phenomenon in oil and gas drilling. It could lead to the wear of drill bit, even cause catastrophic failure of drill-strings and measurement equipment.Therefore, it is crucial to study drilling parameters and develop appropriate control method to suppress such oscillation. This paper studies a discrete model of the drill-string system taking into account torsional degreeof-freedom, drill-string damping, and highly nonlinear friction of rock-bit in… Show more

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Cited by 3 publications
(3 citation statements)
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“…The problem of mitigating stick-slip vibrations in drill-strings is a wellknown nonlinear control problem [3]. Some of the more recent and noteworthy approaches include the bit speed and torque independent stick-slip compensator [14], sliding-mode controllers [15], feedback controllers by including the axial and torsional motions in the numerical model [16], the use of robust controllers based on proportional-derivative feedback control design to keep a constant drill-bit rotation speed [17]. The use of Kalman filter based full-state feedback controllers was proposed in [18].…”
Section: Introductionmentioning
confidence: 99%
“…The problem of mitigating stick-slip vibrations in drill-strings is a wellknown nonlinear control problem [3]. Some of the more recent and noteworthy approaches include the bit speed and torque independent stick-slip compensator [14], sliding-mode controllers [15], feedback controllers by including the axial and torsional motions in the numerical model [16], the use of robust controllers based on proportional-derivative feedback control design to keep a constant drill-bit rotation speed [17]. The use of Kalman filter based full-state feedback controllers was proposed in [18].…”
Section: Introductionmentioning
confidence: 99%
“…[5][6][7][8][9][10][11][12]. To solve the problem of these nonlinear oscillations, a number of control-based approaches have been presented in the literature, e.g., PD control [13,14], linear robust control [15], indirect adaptive control [16], feedback linearization [17], sliding-mode control [18], and backstepping control [19]. In the majority of the works, it is considered that oscillations in a working element of the mechanism or machine can be measured or estimated.…”
Section: Introductionmentioning
confidence: 99%
“…A detailed literature review of the control development to mitigate stick-slip problems in drill-strings can be found in [20]. Some of the more recent and noteworthy approaches include the bit velocity and torque independent stick-slip compensator [21], based on skewed-l DK-iteration [22,23], axial and torsional feedback controllers [24], robust proportional-derivative controllers that maintain constant drill-bit velocity [25], employing different PD-control strategies [26], a Kalman filter based full-state feedback controllers [27], adaptive control in autonomous rotary steerable drilling [28], time-delayed feedback control [29], observer and reference governor based control strategy [30], pole placement technique based on the numerical optimization method [31], a series of cascade sliding hyperplanes [32], linear quadratic regulator [33], and an observer-based output feedback control system [34]. Recently, few attempts have been made by researchers to compare different control methods.…”
Section: Introductionmentioning
confidence: 99%