Gain scheduling control applied to oil and gas separator level loop




Modeling; Adaptive level control; Oil; Gas separator.


Modeling and simulation applied to level control of oil and gas separators in production facilities is a very important tool because makes possible to perform tests that probably could not be viable due to operation and safety constraints. Asides the level dynamics can be well understood regarding the physical model, there will always be non-linearities to approach using a system identification procedure, requiring reasonable care on linear model identification. In order to assure a desired control performance, an adaptive control strategy has been proposed for level control for an oil and gas separator using the gain scheduling technique. Based on a first order process without time delay, the static gain and time period were determined for each point inside the operational space range of the equipment and by Internal Model Control (IMC), the tuning matrix found and converted into a function of operational parameters  using polynomial interpolation methodology for future application  in a real commercial PI controller. The horizontal separator was simulated using MATLAB/SIMULINK® and data from a real separator vessel were used to identify and validate the proposed process modeling in attempt to test an adaptive control strategy for practical applications. Once the GSC was implemented, simulations were performed over the non-linear system and results have shown better performance indexes for GSC while compared to the conventional PI controller for both servo and regulatory problems with reductions up to 17.65% for IAE, 29.88% for ISE, 16.38% for ITAE, 29.00% for ITSE and 13.20% for Control Effort (CE).


Arnold, K. & Stwart, M. (2010). Surface Production Operations. GPP.

Bagyaveereswaran, V. & Arulmozhivarman, P. (2019). Gain Scheduling of a Robust Setpoint Tracking Disturbance Rejection and Aggressiveness Controller for a Nonlinear Process. Processes/MDPI.

Ban, X. & Wu, F. (2015). Gain scheduling output feedback control of linear plants with actuator saturation. ELSEVIER, ScienceDirect, Journal of the Franklin Institute.

Bartys, M. & Hryniewicki, B. (2019). The Trade-Off between the Controller Effort and Control Quality on Example of an Electro-Pneumatic Final Control Element. Actuators / MDPI.

Basçi, A. & Derdiyok, A. (2016). Implementation of an adaptive fuzzy compensator for coupled tank liquid level control system. Elsevier, ScienceDirect, Measurement.

Bisowarno, B. H., Tian, Y. M. & Tadé, O. (2003). Model Gain Scheduling Control of an Ethyl tert-Butyl Ether Reactive Distillation Column. Ind. Eng. Chem. Res. 2003, 42, 3584-3591

Cellier, F. E. & Kofman, E. (2006). Continuous System Simulation. SPRINGER.

David, C. & Lei, W. (2005). Experimental evaluation of adaptive three-tank level control. ISA Transactions 44 ~2005! 283–293.

Fernandes, L. S. L., Moraes, F. F. C., Paulo, J. B. A. & Oliveira, J. A. (2013). Gain scheduling adaptive control applied to a particular mixer-settler equipment. ELSEVIER, Control Engineering Practice.

Gao, Y., Lakerveld, R. (2019). Gain scheduling PID control for directed self-assembly of colloidal particles in microfluidic devices. Process systems engineering.7

Giovani, N. (2004). Controle por bandas: conceitos básicos e aplicação no amortecimento de oscilações de carga em unidades de produção de petróleo. Bol. Téc. Petrobras, Rio de Janeiro, 47 (2/4): 151 – 165, abr./dez.

John-Morten, G., Stig, S., & Gunleiv, S. (2005). Increased oil production by advanced control of receiving facilities. ELSEVIER, IFAC Proceedings Volumes, Volume 38, Issue 1, p. 567-572.

Koche, J. C. (2011). Fundamentos de metodologia científica. Vozes.

Leosirikul, A., Chilin, D., Liu, J., Davis, J. F. & Christofides P. D. (2011). Monitoring and retuning of low-level PID control loops. ELSEVIER Chemical Engineering Science.

Giovani, N., Medeiros, J. L. & Araújo, O. Q. F. (2010). Modelagem e controle na produção de petróleo. São Paulo: BLUCHER.

Ogunnaike, B. A. & Ray, W. H. (1994). Process Dynamics, Modeling and Control. Oxford Unity Press.

Onat, C. (2014). WGC Based Robust and Gain Scheduling PI Controller Design for Condensing Boilers. ResearchGate.

Sarkar, R. & Banerjee, A. (2019). An IMC-PI based Level Control with Gain Scheduling and Set Point Weighting. International Conference on Electrical, Electronics and Computer Engineering (UPCON), p. 1-6, ALIGARH, India.

Sausen, A., Sausen, P. S., Reimbold, M. & Campos, M. (2012). Application and comparison of level control strategies in the slug flow problem using a mathematical model of the process. Acta Scientiarum.

Sayda, A.F. & Taylor, J.H. (2007). Modeling and control of three-phase gravity separators in oil production facilities. In Proc. of 2007 American Control Conference, pages 4847–4853, July 2007.

Seborg, Edgar, Mellichamp & Doyle. (2011). Process Dynamics and Control. WILLEY, (3th ed.).

Sundaram, U. M. (2013). Level Control of Horizontal Cylindrical Tank Using Intelligent Control Techniques. Proceedings of the International Conference on Trends in Industrial Measurements and Automation (TIMA-2013), Department of Instrumentation Engineering, MIT Campus, Anna University, Chennai-44.

Suryawanshi, P., Chandrashekhar, P. & Virendra, K. S. (2007). A Gain Scheduling Approach for Control of Non-linear Level Process. ational Systems Conference, Manipal, India.

Vikhe, P., Parvat, B. J. & Kadu, C. B. (2019). Design of Tank Level system using Gain Scheduling Controller. International Journal of Information and Computing Science, Volume 5, Issue 9, September 2018. ISSN NO: 0972-1347.

Zaher, A. A. (2018). Design of Model-Based Gain Scheduling Controllers for Nonlinear Systems. Journal of Physics: Conference Series.

Zhenyu, Y., Michael, J. & Løhndorf B. (2010). On the Innovation of Level Control of an Offshore Three-Phase Separator. Proceedings of the 2010 IEEE International Conference on Mechatronics and Automation, August 4-7, 2010, Xi'an, China




How to Cite

MEDEIROS, M. L. B. de .; OLIVEIRA JUNIOR, A. M. de .; FONSECA, R. R. . Gain scheduling control applied to oil and gas separator level loop . Research, Society and Development, [S. l.], v. 10, n. 4, p. e55010414397, 2021. DOI: 10.33448/rsd-v10i4.14397. Disponível em: Acesso em: 11 may. 2021.