Vibration suppression boundary control and stability analysis of axial conveyors

The vibration control problem of axial conveyors becomes complex due to the possibility of vibration being caused by multiple factors. This article focuses on vibration problems, designs boundary controllers, and analyzes the stability of the system. The external disturbances of the axial conveyor are time-varying, which is more in line with reality. However, this brings difficulties to the design of controllers. The dynamic equations of the system under consideration are established using the Hamiltonian principle. The active control procedure is adopted in the system boundary to solve the vibration suppression problem. Active control can improve the tracking performance of the axial moving belt by actively adjusting the pulley to better follow the movement of the belt. Disturbance observers are used to estimate and compensate for system disturbances. The proposed boundary control law can reduce the vibration deviation of the system, avoid control overflow effects, and prove that the state of the axial motion belt system converges near the equilibrium point, ensuring the stability of the axial conveyor. The effectiveness of the controller was verified by comparing it with simulation results.