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Experimental studies of active vibration control of laminated composite plates with piezoelectric patches
Owing to the their attractive characteristics such as the high strength-to-weight ratio, the high stiffness-to-weight ratio, and the corrosion resistant property, composite materials have been found applications in various industries. As composite materials are gaining their popularity, in many occasions, however, one is required to pay a special attention to the vibration problem associated with products made of them. One approach to eliminating the vibration is to use the active control method. It is the goal of the present study to design a suitable digital controller that can be used to suppress effectively the vibration of a laminated composite plate.
The controller is designed based on the linear quadratic Gaussian (LQG) control theory. The piezoelectric materials are used as sensors and actuators, which are bonded to the surface of the plate. Within the LQG theory, three types of digital controllers are investigated on their performance of the vibration control of the composite plate. The control input of the first type of controllers consists of only the feedback of states. For the second one, in addition to the states-feedback control input, an open loop feedforward control input is also included. The latter control action is used to trace and cancel out the persistent disturbance source. The third type includes an internal model of the external disturbance source and a system model comprising of truncated state equations of the original system.
Computer simulations as well as experiments are carried out to assess the effectiveness of above three types of controllers. The results obtained from the theory and experiment are compared and pertinent conclusions are drawn.
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