Robust vibration control of composite beams using piezoelectric devices and neural networks

摘要

A finite element model of a laminated composite beam with integrated piezoelectric sensors and actuators was developed. The finite element formulation, which was based on a higher order shear deformation theory and accounts for the lateral strains, is applicable for both thin and thick laminated composite beams. The reduced order model was used to develop a state space model of the system. An LQG/LTR based robust controller was designed using the state space model of the system. The performance of the controller was verified for various arbitrary initial conditions. A system of neural networks was then trained to emulate the robust controller. A robustness study including effects of tip mass, structural parameter variation, and loss of a sensor input was performed. The NN controller is shown to provide robustness and control capabilities equivalent to that of the LQG/LTR controller.