Abstract
A flexible structure with bonded piezoelectric sensors and actuators is considered as a smart structure. In this paper we introduce a new control criterion based on the absorption of the traveling waves of the sensing area. Unlike conventional wave controllers (local wave controllers), this controller not only employs the local system parameters but also uses global system parameters, such as the total length of the flexible structure and the absolute positions of the piezotransducers. Including the global parameters of the system in the wave control design increases the control performance significantly over mainstream wave controllers. A simple parameter based design of the global wave controller is then developed, which can be easily implemented in actual practice. The controller gains depend only on the mechanical parameters of the system and can be obtained from a simple parametric formula. The performance of the controller is compared with that of the conventional controller, and it is seen that this performance is as good as that of optimal controllers with this very simply designed wave controller. Experimental results match closely with simulation and illustrate that the controller suppresses the flexural vibrations quickly and efficiently.
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