In this paper, the partial quadratic eigenvalue assignment problem (PQEAP) for the singular second-order system by the acceleration-velocity-displacement active controller was considered. Based on the spectral decomposition of quadratic symmetric pencil, a sufficient and necessary condition of the closed-loop to preserve no spill-over is provided. Using the receptances and system matrices, the parametric solutions of the PQEAP are characterized. Finally, a gradient-based optimization algorithm for the robust and minimum norm solution of the PQEAP is proposed. Numerical examples show the robust...