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In this work, a novel technique is proposed for generating desired transient vibrations in a structure. Cantilevered plate structure is instrumented with one piezoelectric sensor patch and one piezoelectric actuator patch. Quadrilateral plate finite element having three degrees of freedom at each node is employed to divide the plate into finite elements. Thereafter, Hamilton's principle is used to derive equations of motion of the smart plate. Finite-element model is reduced to first three modes using orthonormal modal truncation and subsequently, the reduced finite-element model is converted into a state-space model. Optimal tracking control is then applied to the state-space model of the smart plate. Using this optimal controller, cantilevered plate is made to vibrate as per desired decay curves of first three modes. Simulation results show that presented optimal control strategy is very effective in simultaneously tracking first three vibration modes of the smart plate. [ABSTRACT FROM AUTHOR]