Mingyue Cui, Hongzhao Liu, Hualong Jiang, Wei Liu
Active vibration control, piezoelectric flexible cantilever beam, sliding-mode control (SMC), adaptive control, backstepping method
The aim of this work is to design an adaptive sliding-mode dynamic controller for piezoelectric cantilever beam with the uncertainties to implement the active vibration control. The stiffness characteristic of piezoelectric layer is considered, Hamilton variation principle is employed to propose the dynamic model of cantilever beam with piezoelectric layer. The uncertainties caused by parameter perturbations and external disturbances in the mathematical model of piezoelectric cantilever beam are considered, the sliding mode control law and updated law of the total uncertainty are designed by backstepping method. Compared with linear quadratic regulator control method commonly used in active vibration control, the effectiveness and advantage of the designed the adaptive sliding mode controller based on backstepping method are verified by the simulations and experiments.
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