Vibration control of a funnel-shaped shell structure with distributed piezoelectric actuatorsand sensors

Abstract

In this paper two approaches to vibration control of a funnel-shaped smart structure withdistributed piezoelectric actuators and sensors are considered. They are based on differentpossibilities for the shell smart structure modeling. An optimal linear quadratic (LQ)tracking control system with additional dynamics is proposed as a model-based controlsolution for the vibration suppression of a funnel-shaped structure which is modeled usingeither of the two approaches suggested in this paper: a finite element method (FEM)-basedapproach and model identification based on the measured input–output signals. Anothercontrol approach is a direct robust model reference adaptive control (MRAC), which isbased on the measurements of the plant input and output signals and desiredbehavior specified through a reference model. Both control approaches assumethe state space realization of the controlled plant. Vibration suppression of thefunnel-shaped inlet part of the magnetic resonance image (MRI) tomograph withdistributed piezoelectric actuator and sensor patches is achieved applying proposedcontrol concepts and verified through the Hardware-in-the-Loop experiments withdSPACE and through numeric simulations. The results of the vibration control showconsiderable suppression of the vibration magnitudes in the selected frequency range.