| 引用本文: | 陈素娟,戚国庆,盛安冬.不完全量测的误差方差约束下的容许采样频率[J].控制理论与应用,2012,29(5):629~634.[点击复制] |
| CHEN Su-juan,QI Guo-qing,SHENG An-dong.Admissible sampling frequency in measurements with variance-constrained and missing data[J].Control Theory and Technology,2012,29(5):629~634.[点击复制] |
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| 不完全量测的误差方差约束下的容许采样频率 |
| Admissible sampling frequency in measurements with variance-constrained and missing data |
| 摘要点击 2092 全文点击 2293 投稿时间：2011-01-04 修订日期：2011-09-05 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.5.CCTA110011 |
| 2012,29(5):629-634 |
| 中文关键词 不完全量测 采样频率 方差约束 线性矩阵不等式 |
| 英文关键词 missing measurements sampling frequency variance-constrained LMI |
| 基金项目 中国自然科学基金资助项目(61104186); 国家自然科学基金资助项目(60804019); 2011年江苏省普通高校研究生科研创新计划资助项目(CXLX11-0261). |
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| 中文摘要 |
| 本文主要研究了不完全量测的误差方差约束下的传感器所能容许的采样频率这一问题. 分析了不完全量测下的目标跟踪系统的误差方差的稳态特性, 给出了不完全量测下误差协方差阵的一些性质. 在给定探测概率下, 利用线性矩阵不等式(LMI)求解这一问题. 工程意义在于, 在满足给定滤波器的误差方差约束指标下, 可以选择采样间隔较长的传感器, 放宽对传感器的采样频率的要求, 从而降低测量装置成本. 数值算例说明了算法的有效性. |
| 英文摘要 |
| We investigate the admissible sampling frequency in measurements with variance-constrained and missing data. The steady-state characteristic of error variance in the target tracking system with missing data is analyzed, and some properties are derived by using the linear matrix inequality (LMI) method. The results show that the sampling interval can be extended in practical engineering measurements with variance-constrained, so that the requirements on sampling frequency can be relaxed and the costs of measurement equipment can be reduced. A numerical example illustrates the validity of our conclusions. |