Minimum norm partial quadratic eigenvalue assignment for vibrating structures using receptances and system matrices

This paper is concerned with the minimum norm partial quadratic eigenvalue assignment problem (MNPQEAP) for vibrating structures via active feedback control. We propose a gradient-based optimization method for solving the MNPQEAP using the receptance measurements, system matrices and a few undesired open-loop eigenvalues with associated eigenvectors. The real form of our method is also derived. Numerical tests show that the proposed methods are effective for solving the MNPQEAP with multiple-input vibration controls.