Adaptive Neural Network Sliding Mode Vibration Control for Clamped Beam Systems with Input Saturation and Model Uncertainties

This paper presents a novel adaptive neural network nonsingular fast terminal sliding mode control method for flexible double-clamped beam systems with input saturation and distributed disturbance. Firstly, the ordinary differential equations of the beam system are provided. Secondly, a novel auxiliary function is employed to design a nonsingular fast terminal sliding mode controller, ensuring the stability of the closed-loop system under state constraints. Additionally, an adaptive neural network is proposed to handle possible unknown parts of the model parameters. It is demonstrated that the proposed control method can simultaneously address input saturation and distributed disturbance without requiring precise knowledge of the model. Finally, numerical simulation results illustrate the effectiveness of the proposed control approach.