High-order model and slide mode control for rotating flexible smart structure

Based on the generalized Hamiltonian principle and the first-order approximation coupling (FOAC) model theory, a fully coupled nonlinear model for a rotating flexible smart structure with a tip mass is proposed, in which the geometrically nonlinear effects of the piezoelectric layers coupled with the structure and the structural large deformation are considered. Then the vibration control of the above system is discussed by the slide mode control (SMC) method. In the process of control design, the optimization approach and Lyapunov stability theory are used to determine the sliding surface of SMC and the control signal, respectively. The simulation results show that SMC approach is effective for the vibration suppression of the rotating flexible smart structure with parameter perturbation uncertainties and large deformation.