同时镇定问题研究

THE STUDY OF SIMULTANEOUS STABILIZATION

基于互质分解的状态空间描述，首先得到了可同阶强镇定的充要条件，并给出了一种同阶强镇定控制器的构造方法．本文证明了２对象同时强镇定（即３对象同时镇定）可转化为同时强镇定一辅助对象与它的一子对象，同阶同时强镇定２对象等价于同时强镇定一个辅助对象与它的一稳定子对象，同时镇定ｒ＋１个对象等价于同时强镇定ｒ－１个辅助对象与它们的一公共子对象．

In this paper, based on the coprime factorization in statespace, the necessary and sufficient condition of sameorder strong stabilization is derived in statespace and a method has been given to design the sameorder strong stabilizing controller. And then, it is proved that to simultaneously strongly stabilize 2 plants, i.e., to simultaneously stabilize 3 plants, is equivalent to simultaneously strongly stabilize an associated plant and its subplant,to simultaneously sameorder strongly stabilize 2 plants is equivalent to simultaneously strongly stabilize an associated plant and its common subplant, and to simultaneously stabilize r+1 plants is equivalent to simultaneously strongly stabilize r1 associated plants and their common subplant.