| 引用本文: | 李洪瑞,盛安冬.离散纯方位系统的可观测性判据[J].控制理论与应用,2009,26(5):570~572.[点击复制] |
| LI Hong-rui,SHENG An-dong.Observability criteria for discrete bearings-only system[J].Control Theory and Technology,2009,26(5):570~572.[点击复制] |
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| 离散纯方位系统的可观测性判据 |
| Observability criteria for discrete bearings-only system |
| 摘要点击 1586 全文点击 1312 投稿时间：2008-01-03 修订日期：2008-07-04 |
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| DOI编号 |
| 2009,26(5):570-572 |
| 中文关键词 可观测性 判据 纯方位 充分必要条件 |
| 英文关键词 observability criteria bearings-only sufficient and necessary condition |
| 基金项目 国防预研资助项目(1010306010301). |
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| 中文摘要 |
| 传统的纯方位测量系统可观测性判据复杂且依赖目标运动参数. 通过线性化测量方程, 推导了可观测性判据Gram矩阵行列式的解析表达式, 得到了纯方位测量系统可观测性的充分必要条件, 即存在4个方位测量使得由它们构成的可观测性判别式不等于0, 其特点为判据仅依赖方位测量, 无需进行求导运算以及求解微分方程． |
| 英文摘要 |
| The conventional observability criteria for bearings-only system are complex and dependent on target motion parameters. The analytic expression of Gram matrix(GM) determinant is derived by linearizing the measurement equation; and a sufficient and necessary condition for observability of bearings-only system is then obtained. According to the condition, a bearings-only system is observable if and only if there exist four bearings of which the observability discriminant equation is not equal to zero. In applying this observability criterion, we need only the bearings-information; neither its differentiation nor the solution of a differential equation is required. |
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