A new receptance method is proposed for partial quadratic pole assignment problem (PQPAP) of asymmetric systems with multi-input. We use receptance matrices of symmetric parts of open-loop systems to express the solution of PQPAP. Then we derive the sensitivities of changed eigenvalues of close-loop system and give the measure of robustness. On these grounds, an algorithm for solving the robust and minimum norm PQPAP is put forward. Our method utilizes receptance matrices of symmetric parts of asymmetric systems and it is applicable to the systems with multi-input. Finally, numerical results are given to show the efficiency of our method.

中文翻译：

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非对称系统部分二次极点分配的接收方法

针对多输入非对称系统的部分二次极点分配问题(PQPAP)，提出了一种新的接收方法。我们使用开环系统对称部分的接收矩阵来表达 PQPAP 的解决方案。然后我们推导出闭环系统改变特征值的敏感性并给出稳健性的度量。在此基础上，提出了求解鲁棒最小范数PQPAP的算法。我们的方法利用非对称系统对称部分的感受矩阵，适用于多输入系统。最后，给出了数值结果以表明我们方法的有效性。