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In this numerical study vibrations of a fully clamped composite plate subjected to impulsive pressure loadings are controlled by using piezoelectric patches. Finite element methods are preferred for numerical solutions. For obtaining finite element model of the smart plate structure, semiloof shell finite element including piezoelectric effects is used. Mode summation method is used for reducing the degrees of freedom of the finite element model and state-space equations are obtained from the reduced finite element model for determining appropriate control strategies. Optimal linear quadratic regulator (LQR) approach has been used to determine the feedback gain matrix and vibrations of the plate suppressed successfully.