摘要
本文主要研究了有限离散扰动系统的鲁棒干扰解耦问题(RDDPD)。建立了不变子空间和不变子空间两个新的几何概念并对两种子空间集合的最大元(Supremal element)作出了几何描述,这是Wonham(A,B)-不变子空间的一般化。主要结论表明,这两个概念在RDDPD的求解中是非常重要的。文中最后附带讨论了连续扰动系统的鲁棒干扰解耦问题(RDDPC),揭示了RDDPD与RDDPC之间的关系。
In this paper,the robust disturbance decoupling problem of finitediscrete perturbation systems(RDDPD)is studied.For a solution of the problem , two new geometric concepts of Ik(Ai, Bi)-invariant subspace and Ik'(Ai, Bi)-invariant subspace,which are the generalization of wonham's (A, B)-invariant subspace,are developed and a geometric description of the supremal element of the class of each kind of subspace is also given.It is shown that these two new concepts play an important part in main result.Finally,by extending the discussion to the robust disturbance decoupling problem of continuous perturbation systems (RDDPC),a relation between RDDPD and RDDPC is obtained.
出处
《控制与决策》
EI
CSCD
北大核心
1991年第6期401-406,412,共7页
Control and Decision
基金
国家自然科学基金
关键词
鲁棒
干扰解耦
扰动系统
断续系统
disturbance decoupling, robust control, uncertainty, geometric approach
