Vibration Control of Flexible Structure Using Piezoelectric Devices as Sensors and Actuators

摘要

The problem of the active control of linear elastic structures using piezoceramic transducers as sensors and actuators has been investigated by a combined theoretical and experimental approach. The optimal rate feedback gain distribution of an active structure with multiple collocated sensors and actuators has been obtained by using a limited state feedback approach which resulted in an increase in system damping. To model the active structure for the optimal control problem, a finite element model has been developed. An active element consisting of a simple beam element with a bonded unimorphic piezoceramic sensors and actuators has been obtained. The model incorporates the electromechanical coupling of the transducers, bonding effects and a mathematical model for the feedback signal conditioning circuitry. The resulting discrete degrees of freedom model is in the form of a set of coupled ordinary differential equations which describe the dynamic behavior of the active structure. To obtain the unknown dynamic coupling coefficients that represent the effects of bonding and other parameters of the model accurately, parameter identification methods have been used.