A new receptance method is presented for robust partial quadratic pole assignment of asymmetric systems with multi-input. The presented method utilizes the receptance \(H_s(\lambda )\) of symmetric part of asymmetric system. Moreover, instead of using all the eigenvalues of open-loop system, the proposed method only needs the changed eigenpairs of open-loop system. By shifting the closed-loop eigenproblem and in terms of receptance \(H_s(\lambda )\) , the expression for the solution of partial quadratic pole assignment problem is derived. Our expression avoids to use the symmetric parts of system matrices and the unchanged eigenpairs. Then the robustness of closed-loop system is considered by combining the sensitivities of changed eigenvalues and the condition number of eigenvector matrix such that different objective of robustness can be achieved. The gradient of the presented robustness measure is analyzed. On these grounds, our method is proposed such that the closed-loop system is as robust as possible and the feedback matrix norms are small. Finally numerical experiments are reported to test the efficiency of the proposed method.
