| 引用本文: | 杨拥民,黎湘,庄钊文.线性系统测试矩阵优化.[J].国防科技大学学报,2008,30(4):107-110.[点击复制] |
| YANG Yongmin,LI Xiang,ZHUANG Zhaowen.Measurement Matrix Optimization for Linear Systems[J].Journal of National University of Defense Technology,2008,30(4):107-110[点击复制] |
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| 线性系统测试矩阵优化 |
| 杨拥民, 黎湘, 庄钊文 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 研究了工程中常见的线性系统循环指数为1(即其约当标准形不同的约当块不出现重根)的情况下测试矩阵优化的方法。通过将系统矩阵变换为约当标准型，能够简单地判定测试矩阵能否保持系统可观测。采用该方法可以在保持系统可观测的情况下，简单而直观地获取系统测试代价最小的测试策略。例子表明，该算法在工程上易于应用。 |
| 关键词: 线性系统 可观测性 测试代价 |
| DOI： |
| 投稿日期：2008-02-27 |
| 基金项目:国家部委基金重点资助项目 |
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| Measurement Matrix Optimization for Linear Systems |
| YANG Yongmin, LI Xiang, ZHUANG Zhaowen |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073，China)
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| Abstract: |
| In this paper, the measurement matrix optimization approach is presented when the linear system's cycle index is 1, which is the case frequently occurring in the engineering application. The measurement matrix can be found when it can make the system observable by transferring the system matrix to Jordan canonical form. By this method, the best measurement setup to achieve the minimum cost can be obtained simply and with much intuition while the system keeps observable. An example shows that this algorithm can be easily applied in engineering. |
| Keywords: linear system observability measurement cost |
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