Robust active vibration suppression of single-walled carbon nanotube using adaptive sliding-mode control and electrostatic actuators

Abstract

In this paper, the electrostatic actuator-based active vibration control of a single-wall carbon nanotube conveying fluid is studied. A double electrostatic actuator scheme is developed and its decoupling method also is proposed. Then, a novel adaptive sliding-mode control (SMC) scheme is developed. The newly proposed scheme future improves existing results from two aspects: (1) the newly proposed adaptive SMC can work well under high uncertain case in which all parameters are uncertain and the uncertainties cannot be separated from control force and (2) a double electrostatic actuators scheme which can suppress the vibration of carbon nanotube in multiple directions is designed, and a novel decoupling scheme for the two actuators is developed. The stability of the closed-loop system is analyzed by using Lyapunov stability theory. Finally, the simulation results illustrate the effectiveness of the proposed scheme.