| 引用本文: | 王大海.定常输出反馈任置极点的新结果*[J].控制理论与应用,1989,6(S2):77~81.[点击复制] |
| Wang Dahai.A New Result for Pole Assignment Using Output Feedback[J].Control Theory and Technology,1989,6(S2):77~81.[点击复制] |
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| 定常输出反馈任置极点的新结果* |
| A New Result for Pole Assignment Using Output Feedback |
| 摘要点击 620 全文点击 341 投稿时间：1986-04-14 修订日期：1987-08-08 |
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| DOI编号 |
| 1989,6(S2):77-81 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文指出，几乎所有满足如下不等式：r-1≥n-m-Σvij+t≥tμ的完全系统，都可以任意近似任置全部极点。这里n、r、m分别是系统的状态、输入、输出变量个数。{vi, i∈r}是(A, B)Kronecker指标，{vij, j∈t}是其子集。μ是(C, A)可观测指标。此条件式可概括以前的许多结果，如状态反馈(m=n, μ=1), m+r-1≥n的输出反馈等。文中有算例说明此条件式有效，并有反例指出了Kimura1977年的一个错误。本文是Kimura的结果上的修正和进一步推广。 |
| 英文摘要 |
| This paper says that arbitrary pole assignment is possible for almost all complete systems if r-1≥n-m-Σvij+t≥tμ. Here n, r, m is the number of states, of input, of output, respectively; {vi, i∈r} is the kronecker indice set of (A, B), {vij, j∈t}?{vi, i∈r}; μ is the observability index of (C, A); t is a natural number. This condition formula includes many results given before. For the case of t=1, Kimura 1977 had some other condition and algorithm. About it we gave a counter example. This paper is the amendment and extension from Kimura 1977 result. |
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