Abstract

In this paper, a robust nonlinear forced vibration control design using an operator based robust right coprime factorization approach is considered for a forced vibration control on a flexible plate with piezoelectric actuators. With considering the effect of hysteresis nonlinearity from the piezoelectric actuators, operator based controllers are designed to guarantee the stability of the nonlinear forced vibration control system. Simultaneously, for controlling the vibration of the flexible plate and ensuring the desired vibration control performance, the operator-based disturbance compensation method is considered. Finally, the effectiveness of the proposed nonlinear control system is confirmed by simulation results.

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