International Journal of Applied Mathematics, Computational Science and Systems Engineering
E-ISSN: 2766-9823
Volume 1, 2019
H∞ Based on Adaptive Fuzzy Control design for Four Degree-of-Freedom of Drill-String System
Authors: , ,
Abstract: The reduced-order models of a flexible drill-string systems allow for radial, bending, and torsion motions with stickslip interactions between the drill-string and the outer shell is highly nonlinear and classified as under-actuated. Therefore, the drill-string system are very complex mechanical systems and have been the subject of research investigations for several decades. In this paper, a H1 based adaptive fuzzy control is proposed to control the four degree-of-freedom of the drill-string system. The advantage of employing an adaptive fuzzy system is using linear analytical results in place of estimating the dynamics of the drill-string system with an online update law. A robust control law combined with a variable structure (VS) and H1 control scheme is derived based on a Lyapunov criterion and the Riccaiinequality to overcome the system uncertainties, and external disturbances so that all signals of the closed-loop system are uniformly ultimately bounded (UUB). Simulations show that the proposed control scheme is effective in reducing the phenomenon of the drill-string system hitting with outer shell due to the drillstring system bending such that the rotation of a drill-string keep close to the radial center.
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Pages: 48-55
International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 1, 2019, Art. #9