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In this article, a control method based on artificial neural networks applied to the vibration control of flexible structures is presented. The direct inverse control method is used. This method consists in the identification of the inverse dynamics of the plant using an artificial neural network to be used as the controller. An application example is proposed, and two problem variations are treated. The application problem is based on a cantilever plate model. The plate model is obtained using the finite element method. For the first problem, the controller is designed using the full-order plant model. In the second example, a model reduction is made to evaluate the performance of this technique applied to control problems with dynamic uncertainties. The results were evaluated according to the time response and frequency response of the closedloop system. To compare the results obtained using the control method based on artificial neural networks, the previous examples were also solved using the H∞ control method. The obtained results show that the control method based on the inverse model using neural networks is effective in solving this kind of problem. [ABSTRACT FROM AUTHOR]