鲁棒设计‖A+BK‖_F极小化的新方法

ROBUST DESIGN A NEW METHOD TO MINIMIZE ‖A+BK‖_F

提出了一种新的鲁棒设计方法．以闭环系统矩阵的Frobenius范数作为鲁棒性指标，运用Powell方法进行寻优，产生一种适用于工程上使用的快速而有效的直接优化方法，使系统动态矩阵保持稳定的参数摄动界最大．

A new robust design method is discussed in this paper. The main idea of this method is to use the addition of the pole differences and robustness measurement as a destination for optimization. It provides a quick and efficient optimizatoin method suitable for engineering. Frobenius norm of the closed-loop matrix A+BK is used here as a robustness index. This index is minimized by Powell method, thus to make the lower bound of a robustness measurement maximized.