多线性凸多面体对象族的鲁棒镇定

ROBUST STABILIZATION FOR MULTILINEAR POLYTOPIC PLANT FAMILY

研究了由多个不确定对象串联所构成的多线性凸多面体对象族的鲁棒镇定问题，在对控制器的结构进行某些假设的条件下，给出了控制器鲁棒镇定对象族的充分必要条件是它同时镇定所有的顶点对象．

This paper studies the robust stabilization of multilinear polytope of plants which are formed by connecting more than one uncertain plants in series. Under some assumptions on the structure of the compensator, it is proved that the necessary and sufficient condition for the compensator to robustly stabilize the plant family is that it simultaneously stabilizes all the extreme point plants.