Research on sliding mode control for vibration of a rotating flexible structure with piezoelectric layer

Based on Hamilton s principle, the fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure with a tip mass is established using a higher order model, and the vibration of this system will be depressed by the sliding mode control (SMC) method. The coupled effects of the axial, transverse displacements and rotation angle are considered by means of the first-order approximation coupling (FOAC) model theory, which considers the geometrically nonlinear effects on the piezoelectric materials and structures. The finite-dimensional model, considering the centrifugal effect, is obtained by finite element method (FEM). Then, SMC is used to actively control the structural vibration of the rotating flexible smart structure. The sliding surface is determined by the linear quadratic regulator (LQR) approach. The numerical simulation shows that the proposed SMC approach is effective for the rotating flexible smart structure in vibration control with parameter perturbation uncertainties.