Meddah, SabrinaIdir, Abdelhakim(Directeur de thèse)2025-05-282025-05-282025https://dspace.univ-boumerdes.dz/handle/123456789/15441149 p. : ill. ; 30 cmThis work focus on coupled vibration analyses of torsional-axial and torsional-lateral interactions control with a PID classic and an FOPID controller optimized by PSO for rotary drilling systems, oil and gaze field, in different Scenario. Where, the vibrations encountered during drilling operations are strongly coupled, resulting in complex effects on drilling performance. These vibrations can be categorized into three types based on their propagation directions within the drilling systems: axial, lateral, and torsional. While many researchers have individually studied each type of vibration, the robustness of developed controllers depends on considering the coupling effects of the other vibrations that are often overlooked. To ensure the robustness of such controllers, it is imperative to analyze the interaction effects of the control systems, specifically focusing on the torsional-axial and torsional-lateral interactions. The primary objective of this thesis is to investigate the interactions among these three types of vibrations and subsequently propose controllers for the coupled cases based on the interaction analysis results. The proposed contribution of interaction analysis was demonstrated through simulation studies under MATLAB, and FOPID controller was designed then optimized using PSO technique and RN. The deep analyses of obtained results demonstrated improved system controller robustness compared to previous studiesenInteraction analysisTorsional-axial coupled vibrationsTorsional-lateral couple vibrationsDecoupled non-linear controlRotary drilling systemThesis