| Kalman Filter for Generalized 2-D Roesser Models |
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| 作者姓名： | 盛梅 邹云 |
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| 作者单位： | [1]Department of Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China; [2]Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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| 摘 要： | The design problem of the state filter for the generalized stochastic 2-D Rocsser models, which appears when both the state and measurement are simultaneously subjected to the interference from white noise, is discussed. The wellknown Kalman filter design is extended to the generalized 2-D Roesser models. Based on the method of ＂scanning line by line＂, the filtering problem of generalized 2-D Roesser models with mode-energy reconstruction is solved. The formula of the optimal filtering, which minimizes the variance of the estimation error of the state vectors, is derived. The validity of the designed filter is verified by the calculation steps and the examples are introduced.
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| 关 键 词： | 广义系统 二维Roesser模型 卡尔曼滤波器 控制论 |
| 文章编号： | 1673-002X（2007）01-0043-06 |
| 收稿时间： | 2007-01-10 |
Kalman Filter for Generalized 2-D Roesser Models |
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| SHENG Mei,ZOU Yun.Kalman Filter for Generalized 2-D Roesser Models[J].Journal of China Ordnance,2007,3(1):43-48. |
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| Authors: | SHENG Mei ZOU Yun |
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| Abstract: | The design problem of the state filter for the generalized stochastic 2-D Roesser models, which appears when both the state and measurement are simultaneously subjected to the interference from white noise, is discussed. The wellknown Kalman filter design is extended to the generalized 2-D Roesser models. Based on the method of "scanning line by line", the filtering problem of generalized 2-D Roesser models with mode-energy reconstruction is solved. The formula of the optimal filtering, which minimizes the variance of the estimation error of the state vectors, is derived. The validity of the designed filter is verified by the calculation steps and the examples are introduced. |
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| Keywords: | control theory and control engineering 2-D system generalized system Roesser model Kalman filter Models Generalized Filter validity optimal filtering calculation examples introduced derived variance estimation error vectors formula reconstruction scanning line Based method of Kalman filter design |
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