Super twisting control of torsional vibration in non-minimum phase nonlinear drill string system

Author:

Aghadadi Kamal1,Bakhtiari-Nejad Firooz1ORCID,Taghvaeipour Afshin1ORCID,Hosseinzadeh Ali1

Affiliation:

1. Department of Mechanical Engineering, Amirkabir University of Technology, Iran

Abstract

In this paper, a second order sliding mode control law for regulation of rotational speed in a non-minimum phase drill string system is proposed. In this regard, first, the nonlinear dynamic model of a drill string which is in contact with non-Newtonian mud is conducted. Next, a super twisting sliding mode control is designed that ensures the asymptotic regulation of output during sliding motion in a finite time and stable zero dynamics. It is shown that the proposed super twisting controller is capable of adjusting the output on a desired value by generating a proper sliding surface in a finite time. The convergence of the proposed controller for the dynamic model with a higher number of mode shapes is also investigated, and it is found that by increasing the number of obtained modes, the desired output needs less computation time with more accuracy.

Funder

R&D of Pars Special Economic Energy Zone

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

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