Operator based vibration control for a MIMO nonlinear wing-plate system

Operator based nonlinear vibration control design for a multiple input multiple output(MIMO) wing-plate system is considered. For considering the MIMO wing-plate system with the effect of the coupling from the piezoelectric actuator(PEA)’s moments, the bounded input bounded output(BIBO) stability of the system is considered based on operator theory. Simultaneously, for obtaining the desired vibration control performance, the operators are designed to compensate for the external force and coupling’s effects. Finally, the effectiveness of the designed nonlinear control system is confirmed by the numerical simulation.