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vol 62 / November, 2019
Article

DOI 10.17586/0021-3454-2016-59-4-282-287

UDC 519.7

CONTROL OVER GAS-LIFT OIL WELLS OPERATION UNDER PARAMETRIC UNCERTAINTY CONDITION

I. B. Furtat
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation; ITMO University, Saint Petersburg, 197101, Russian Federation; Leading scientific researcher$ Professor


E. A. Tupichin
ITMO University; Department of Control Systems and Informatics, St. Petersburg; Post-Graduate Student


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Abstract. A solution to the problem of robust control over gas-lifted oil wells operation is proposed. The described solution is suitable for parametric uncertainty, unknown initial conditions, and necessity of output signal (volume flow at the well outlet) measurement. The model of the process is represented by ordinary differential equations derived from the Navier-Stokes equations using the straight lines approximation. The control signal is variation of flow rate of the gas supplied to the well. A modified back-stepping algorithm is used for control algorithm synthesis. Implementation of a single filter for the system condition by the control signal and straightforward control laws obtained using real differentiating element, allow to simplify the calculations and implementation of the control system. The trajectory which is a solution to linear-quadratic model problem is taken as a standard action Simulation results are presented to demonstrate the effectiveness of the proposed scheme which is robust to parametric perturbations caused by variations of physical and chemical parameters of the process.
Keywords: robust control, back-stepping method, gas lift process

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