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| 线性系统的输出反馈特征结构配置——具有不可控不可观模态的情形 | |
| 引用本文： | 段广仁,白红,张彪. 线性系统的输出反馈特征结构配置——具有不可控不可观模态的情形[J]. 应用数学, 2002, 15(4): 13-17 |
| 作者姓名： | 段广仁 白红 张彪 |
| 作者单位： | 1. 哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨,150001 2. 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 |
| 基金项目： | 国家杰出青年基金 ( 6 950 4 0 0 2 ) |
| 摘 要： | 本文考虑具有不可控不可观模态的线性系统的输出反馈特征结构配置问题。根据文中给出的矩阵方程AV＋BW＝VF的一种显式参数解，得到了线性系统的输出反馈特征结构配置的一种参数化方法，本文没有对系统附加能控能观条件，在[AB]能控的条件下，本文得到的矩阵方程的解是文[5]中定理2的结果，在[AB]能控且[AC]能观的条件下，本文得到的输出反馈特征结构配置方法是文[6]在系统为定常时算法Ⅱ的结果。 |
| 关 键 词： | 线性系统 输出反馈 特征结构配置 可稳性 可检测性 |
| 文章编号： | 1001-9847(2002)04-0013-05 |
| 修稿时间： | 2002-03-18 |
Eigenstructure Assignment via Output Feedback for Linear Systems with Uncontrollable and/or Unobservable Modes |
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| DUAN Guang-ren,BAI Hong,ZHANG Biao. Eigenstructure Assignment via Output Feedback for Linear Systems with Uncontrollable and/or Unobservable Modes[J]. Mathematica Applicata, 2002, 15(4): 13-17 | |
| Authors: | DUAN Guang-ren BAI Hong ZHANG Biao |
| Affiliation: | DUAN Guang-ren~1,BAI Hong~2,ZHANG Biao~2 |
| Abstract: | In this paper, the problem of eigenstructure assignment via output feedback for linear systems with uncontrollable and/or unobservable modes is considered. Based on the established explicit and parametric solution of the matrix equation AV+BW=VF, a parametric approach for eigenstructure assignment in linear systems via output feedback is proposed. Here the system is not required to be controllable and/or observable. When is controllable, the obtained solution of the matrix equation becomes the result of Theorem 2 in , when is controllable and is observable, the obtained approach of eigenstructure assignment via output feedback becomes the result of the Algorithm II for constant linear systems in . |
| Keywords: | Linear systems Output feedback Eigenstructure assignment Stabilizability Detectability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |