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The present article deals with finding the best position of piezoelectric actuator for active vibration control of square plate with all-clamped edges using the genetic algorithm (GA) and developed optimization algorithm (DOA) base on controllability grammian. The controllability grammian is obtained using the modal force constants, the eigenvalues and eigenfunctions of all-clamped edges plate. The proposed scheme yields the controllable performance index to be optimized to minimize the output energy of actuator for limited modes of frequency. The significant first and first two controllable modes of frequency are obtained by placing the actuator at best position.