实现输出反馈极点配置的数值方法

本文讨论了用数值方法实现输出反馈极点配置的问题.求解反馈阵的矩阵方程被等效成非线性向量方程,用牛顿迭代法可求得反馈阵.本文推导了牛顿迭代法所需的导数公式,并给出有关算例.还可将非线性向量方程化作性能指标,用寻优的方法求得所需的输出反馈阵.

An Algorithm for Pole Assignment by Output Feedback

The problem of pole assignment by output feedback with numerical method is discussed in this paper. The matrix equation for solving the feedback matrix is transformed to a non-linear vector equation which can be solved by the Newton recursive method. The formula of derivative used in Newton recursive method is introduced with numerical examples. The non-linear vector equation can be transformed into a performance index with which any optimization method can be used to obtain the required output feedback matrix.