| 引用本文: | 王殿辉 谢绪恺.广义系统在输出反馈下的脉冲行为[J].控制理论与应用,1995,12(3):371~376.[点击复制] |
| WANG Dianhui XIE Xukai.Elimination of Impulsive Modes by Output Feedback in Descriptor Systems[J].Control Theory and Technology,1995,12(3):371~376.[点击复制] |
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| 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 |
| 摘要点击 785 全文点击 340 投稿时间：1993-04-09 修订日期：1994-12-01 |
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| DOI编号 |
| 1995,12(3):371-376 |
| 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 |
| 基金项目 |
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| 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. |
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