Stabilization of nonlinear vibrations of carbon nanotubes using observer-based terminal sliding mode control. (March 2020)

• Record Type: Journal Article
• Authors: Yousefpour, Amin; Vahidi-Moghaddam, Amin; Rajaei, Arman; Ayati, Moosa
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 42:Number 5(2020)
• Page Start: 1047
• Page End: 1058
• Publication Date: 2020-03
• Subjects: Carbon Nanotube -- nonlocal elasticity theory -- Euler–Bernoulli beam theory -- disturbance observer -- terminal sliding mode control; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331219881547
• Languages: English
• ISSNs: 0142-3312

Abstract

This article is concerned with suppression of nonlinear forced vibration of a single-wall carbon nanotube conveying fluid based on the nonlocal elasticity theory and Euler–Bernoulli beam theory. Electrostatic actuation is considered as the control force for the suppression of carbon nanotube. Based on Galerkin approach, the governing nonlinear partial differential equation is reduced to an ordinary one. Since the sliding mode controller (SMC) does not assures finite time system stabilization and also causes chattering in the control input and consequently vibration in the system, terminal sliding mode controller (TSMC) is developed for the stabilization of carbon nanotube based on a disturbance observer. TSMC and disturbance observer suppress the vibrations of nanotube in the presence of external disturbances caused by the internal flow. Numerical simulation results are presented to illustrate the effectiveness and performance of the proposed control scheme in comparison to similar approaches. Simulation results show that the proposed control method successfully stabilizes the uncertain system in a finite time.