Partial quadratic eigenvalue assignment with velocity-plus-acceleration feedback in vibrating structures using the receptance and the system matrices

Abstract

The paper provides a method for solving the partial eigenstructure assignment problems using state-derivative feedback for second-order dynamic systems. Just computing feedback matrices is not enough in real-life applications. Both closed-loop eigenvalue sensitivity and feedback norms are as small as possible. In this work, a hybrid method combining the system matrices and measured receptances is proposed. The hybrid method is more efficient than the standards methods which only use the system matrices and not the receptances. The numerical results demonstrate the effectiveness of the proposed method.