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Active vibration control and shape morphing of thin plates using dynamic inversion technique

This paper presents active morphing and vibration control of thin cantilever plates using an array of piezoelectric sensor and actuator system. The piezoelectric actuators and sensors are used to form a feedback control loop to suppress the undesired vibrations caused during configuration change. Dynamic Inversion technique is used to determine the control variables to morph the plate and suppress its vibrations. The partial differential equations governing the plate deformation and piezoelectric actuation are solved using projection method to obtain algebraic equations, following Design-then-Approximate (DTA) method. Two configurations are considered from its eigenspace to perform simulations. The actuators are designed for both morphing and vibration control since thin plates have poor damping characteristics and need external damping. The displacement norm and velocity norm time histories and the configuration achieved by the system are analysed.