Design and Implementation of a Linear Controller on a Reduced Model of a Smart Structure

Abstract eng:
Active vibration control of smart structures has gained much attention in the last decades. A simple active control system consists of the mechanical structure where vibration occurs, a sensor to perceive the vibration, an actuator to counteract the influence of disturbances and finally, the controller responsible for the generation of the appropriate control signal. The smart structure used in this work comprises a cantilevered beam with a piezoelement glued to it. A finite element model is initially created and then it is reduced to a super element with a finite number of degrees of freedom. Damping properties are also calculated and added to the reduced model, and the model is verified. Finally, a linear control law based on the Lyapunov stability theorem is used to attenuate the vibrations of the smart beam excited with its first eigenmode. The controller is applied directly to the super element model and after that to the extracted state-space model too. Results from both models are then presented and compared.

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