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This article studies the non-linear vibration control problem for a vertical wing-plate with sustainable perturbation by using piezoelectric actuator. For the vertical wing-plate system with hysteresis non-linearity, the operator-based robust right coprime factorisation approach is considered to ensure the stability of the non-linear system. After, for compensating the sustainable perturbation and hysteresis non-linearity to improve the non-linear vibration control performance, the non-linear internal model control scheme that includes the designed internal closed-loop model and the compensator is considered. Finally, simulation and experimental examples are given to show the effectiveness of the proposed control system.

Non-linear forced vibration control for a vertical wing-plate with sustainable perturbation by using internal model control mechanism