A receptance method for robust and minimum norm partial quadratic eigenvalue assignment

This paper considers the partial quadratic eigenvalue assignment problem (PQEAP) in active vibration control using state feedback. A receptance method is proposed for PQEAP such that the norms of feedback matrices and the condition number of close-loop system are simultaneously minimized. The real form of the proposed method is developed. The proposed method only uses receptance matrices and the unwanted eigenpairs of open-loop system. The system matrices and the unchanged eigenpairs of open-loop system are not required. The efficiency of the proposed method is illustrated by some numerical examples. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper proposes a solution to the partial quadratic eigenvalue assignment problem using a receptance method, which simultaneously minimizes the norms of feedback matrices and the condition number of the closed-loop system. The method only requires receptance matrices and the unwanted eigenpairs of the open-loop system, without needing system matrices and unchanged eigenpairs. Numerical examples illustrate the efficiency of the proposed method.