Decentralized Overlapping Control Design with Application to Rotary Drilling System

Abstract

The main objective of this paper is the development of overlapping decomposition strategy for controller design of rotary drilling systems based on the state feedback technique. The lamped model of the system has been considered, Graph-based representation has been used to rearrange the states of the model, and then a new model has been decomposed into subsystems after analyzing the interconnection terms. The expansion–contraction principle, combined with Lyapunov theory, is used to investigate the global stability of the decomposed system so that controllability of the designed controller is guaranteed and its robustness is improved. Moreover, the designed strategy has been validated with high-frequency mode stick-slip vibrations data measured in an operational rotary drilling system of an exploration well drilled in an Algerian hydrocarbon field.

KEYWORDS:

• Overlapping decomposition
• Rotary drilling systems
• Graph-based representation
• Expansion–contraction
• Lyapunov theory
• High-frequency mode stick-slip vibration

Acknowledgements

This study has been sponsored by DGRSDT (Direction générale de la recherche scientifique et de développement technologique), Algiers – Algeria.

Additional information

Notes on contributors

M. Z. Doghmane

Mohamed Zinelabidine Doghmane was born in Bousàada, Algeria. He holds a PhD degree in electrical engineering From faculty of Hydrocarbons and Chemistry, University M’hamed Bougara of Boumerdes, Master's degree in petroleum geophysics from the National Algerian Petroleum Institute, Master’s degree in applied automatic from the Department of Automation, University of Boumerdes, an engineering degree from the National Institute of Electrical and Electronics Engineering (Ex-INELEC) Boumerdes, Algeria. Now, he is working with SONATRACH (Algérie), and he is member in research laboratory of Applied Automatic, University of Boumerdes. His current research interest is optimization of control design for complex systems in petroleum engineering.

M. Kidouche

Madjid Kidouche was born in Bordj-Menaiel, Algeria. He received Electrical Engineering,Master of Sciences, and PhD degrees all in control theory. He joined M'hamed Bougara University of Boumerdes, Algeria in 1990 where he is professor in the automation department and electrification of industrial process. He is a research group head on “Control of complex dynamical systems” at Applied Automatic Control Laboratory. He has been actively involved in several research projects in the fields of control and power system analysis. He is the author and co-author of numerous research publications in international conferences and journals. His research interests include control of dynamic nonlinear systems, stability of large scale systems, and sliding mode control. Email: [email protected]

A. Ahriche

Aimad Ahriche was born in Algiers, Algeria. He received the BS degree in electrical engineering from the University of Jijel, Jijel, Algeria, in 2002 and the Master’s degree in electrical engineering from the University of Boumerdes, Boumerdes, Algeria, in 2008 and the PhD degree in electrical engineering from the same university in 2015. He has been an associate professor with the Department of Maintenance, University of Boumerdes, Algeria, since 2008. His current research interests include development of renewable energy systems, power converters, and AC drives. Email: [email protected]