Vibration Suppression of a Rotating Flexible Structure using Super Twisting-Nonsingular Terminal Sliding Mode Control with Uncertainty

Document Type : Dynamics, Vibrations, and Control

Authors

1 Corresponding author: Assistant Professor, Astronautic Department, Aerospace research institute, Tehran, Iran

2 MSc Student, Astronautic Department, Aerospace research institute, Tehran, Iran

3 Associate Professor, Astronautic Department, Aerospace research institute, Tehran, Iran

Abstract

In this paper, a robust hybrid control approach for vibration and attitude control of a flexible rotating structure as a fully coupled rigid-flexible system is investigated. Two control algorithms as a combination of second-order super twisting-nonsingular terminal sliding mode control (SMC) considering external disturbances and system uncertainties are developed. The nonlinear dynamic equation of the motion is derived via the Lagrangian approach and the finite element method. The non-singular terminal SMC leads to high accuracy in target tracking, and convergence and the super twisting part significantly reduce the chattering phenomenon. The overall stability of the system has been guaranteed using the Lyapunov theory. The simulations in the form of a comparative study (with agility, accuracy, and high convergence criteria) show the feasibility of performing large-angle maneuvers and significantly reducing the vibrations caused by the flexible parts. Moreover, by controlling the chattering phenomenon, the system performance regarding high-frequency modes excitation is increased.

Keywords

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References

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Aerospace Mechanics
Volume 18, Issue 1 - Serial Number 67
Serial No. 67, Spring Quarterly
July 2022
Pages 171-182

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History

  • Receive Date: 26 April 2021
  • Revise Date: 15 November 2021
  • Accept Date: 01 January 2022
  • Publish Date: 21 April 2022

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