部分二次特征值及其敏感性配置

Assignment of Eigenvalue and Corresponding Sensitivities

利用响应矩阵法配置主动振动控制中的配置特征值及其敏感性,使得特征值和敏感性配置的个数不受限制.提出用带等式约束的二次规划问题,来求解主动振动控制中单输入状态反馈控制系统的部分特征值及敏感性配置问题.数值实验表明:转化成二次规划问题来求解的方法,其特征值配置问题满足要求,敏感性配置也相对满足要求.

By means of assignment for the eigenvalue and the corresponding sensitivities in active vibration control by receptance method,the number of the assigned eigenvalue and sensitivities isn′t limited.We present an equality-constrained quadratic programming method to solve the problem of eigenvalue and sensitivities assignment in active vibration control using single-input state feedback.It is shown that the eigenvalue and sensitivities can be assigned by the quadratic programming method by numerical tests.