广义系统在输出反馈下的脉冲行为

Elimination of Impulsive Modes by Output Feedback in Descriptor Systems

中文关键词  广义系统  输出反馈  脉冲模式

英文关键词  descriptor systems  impulsive modes  output feedback

中文摘要

      基于作者在文[14]中给出的脉冲观控性子空间，建立了如下数学关系式： max deg det /sE-A+BKC/= Dim (R-)-dim (R-∩R-) + r 作为上述公式的一个直接推论，得到了以下结论：广义系统在输出反馈下可以消出p个脉冲模式的充要条件是，系统存在p个线性独立的能控能观的脉冲模式。

英文摘要

      In this paper, a problem of eliminating the impulsive modes by output feedback in descriptor systems is considered. First, we redefine the impulsive controllable subspace R-, unobservable subspace R- of the descriptor systems form a new point of view. Secondly, in the basis of these subspaces defined above, an interesting and meaningful mathematical identity is established as follows: Dim (R-)-dim (R-∩R-) + r =max deg det (sE-A+BKC). (*) As a corollary of (*), a significant conclusion, i.e., there exist p linearly independent impulsive modes which can be eliminated by an output feedback law if and only if the system possesses p linearly independent impulsive modes which are controllable and observable. It is also shown that the equality (*) holds for almost any gain K.