Boundary Sliding-Mode Saturated Control for a Flexible Structure System with External Disturbances

This work deals with the boundary stabilization problem of a flexible beam system subject to actuator saturation and external disturbances. Firstly, for the case of actuator input saturation, by introducing a dead-zone function and constructing an auxiliary system, the influence of saturation nonlinearity is compensated. Secondly, a boundary saturated controller is proposed. Meanwhile, for an actuator-saturated beam system subject to unknown bounded disturbances, the control objective is to attenuate their effects. Then, a sliding-mode saturated controller is constructed based on the boundary saturated control strategy. The uniform bounded stability of the system is proven in the sense of Lyapunov. The simulation results verify the effectiveness of the proposed methods.