Adaptive vibration control of flexible plate structures with actuator placement optimization

This paper investigates piezoelectric actuator placement optimization on a rectangular plate structure and the vibration control of the structure. In the first part, an actuator placement optimization method is developed based on maximizing the controllability grammian. It is then implemented using Structuring Analysis in ANSYS Finite Element Analysis Package and Genetic Algorithm. In the second part, a filtered-x LMS-based multi-channel adaptive control is used to suppress vibration response of the plate. Numerical simulations are performed in suppressing tri-sinusoidal response at three points of the plates and the results show the control algorithm is efficient and robust in reducing the plate's vibration. The results also demonstrate that the developed actuator placement optimization method is effective to reduce the energy required for achieving significant vibration reduction.