闭环控制系统反馈增益向量的灵敏度分析

根据振动系统的模态控制方程,利用状态反馈控制和闭环控制系统的极点配置法,文中提出计算模态反馈增益向量的新方法,并在此基础上推导模态反馈增益向量灵敏度分析的方法.该分析方法涉及开环系统的特征值、特征向量以及模态控制矩阵的灵敏度, 由于在方法的推导过程中使用了模态控制方程,因此避免了非常复杂的数学推演.最后,将所提方法应用于一桁架结构的振动控制问题,以说明方法的有效性.

SENSITIVITY ANALYSIS OF FEEDBACK GAIN VECTOR FOR CLOSED-LOOP CONTROL SYSTEM

Based on the modal control equations for the vibration system, and using the state feedback control as well as pole allocation methods, a new method for computing the feedback gain vector is presented, and the sensitivity analysis method for the modal gain vector, which involves the sensitivities of the eigenvalues, eigenvectors and the modal control matrix of the open-loop system, is developed. Because the modal equations are used to develop the modal control gains, the tedious mathematical manipulation for deducing the gain vector can be avoided. Finally, a vibration control problem of a truss structure is presented to show the validity of the present methods.