菱形对象族的鲁棒镇定

Robust Stabilization for Diamond Plant Family

本文研究了菱形对象族的鲁棒镇定问题，证明了控制器鲁棒镇定菱形对象族的充分必要条件是它同时镇定六十四条棱边对象．在此基础上，利用凸方向的概念讨论了控制器分子、分母的选择，并给出了菱形对象族的顶点镇定结果．

In this paper, the problem of robust stabilization for diamond plant family is studied. It isproved that the necessary and the sufficient condition for a compensator to robustly stabilize the diamondplant family is that it simultaneouly stabilizes sixty-four exposed edges of plants of the family. Based on this,the selection of the numerator and the denominator of the compesator is discussed by use of the concept ofconvex direction, and finally the extreme point result of robust stabilization for the plant family is presented.