同时镇定问题研究

基金项目: 国家自然科学基金

详细信息

THE STUDY OF SIMULTANEOUS STABILIZATION

Institute of Industrial Process Control, Zhejiang University, Hangzhou, 310027, PRC

摘要: 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．
- 同时镇定 /
- 强镇定 /
- Hurwitz稳定 /
- 互质分解
Abstract: 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.
- simultaneous stabilization /
- strong stabilization /
- hurwitz stable /
- coprime factorization

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