一般振动系统的多输入状态反馈部分极点配置

PARTIAL POLE ASSIGNMENT FOR GENERAL VIBRATION SYSTEMS BY MULTI-INPUT STATE FEEDBACK

本文讨论具有非对称阻尼、刚度矩阵的一般振动系统多输入部分极点配置问题。基于系统的矩阵二阶微分方程而非一阶状态方程形式 ,采用多输入状态反馈控制 ,使系统的部分极点得以配置 ,同时使其它的极点保持不变。对于该配置问题 ,本文给出了控制增益矩阵的一种显式解 。

In the paper, partial pole assignment is studied for general vibrating systems with non-symmetric damping and stiffness matrices. The system under consideration is modeled by a set of matrix-second-order differential equations and the assignment is carried out by multi-input state feedback control. A closed-form solution for gain matrices is defined to the assignment in its natural second order form, which is the generalization to the solution proposed by Datta et al[4,5]. It is shown in the paper that, by appropriate choice of gain matrices, certain poles of the vibrating system may be assigned while the other poles remain unchanged. The method presented is illustrated by a numerical example.