| 广义2-D Roesser模塑的状态滤波器 |
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| 引用本文： | 盛梅,邹云.广义2-D Roesser模塑的状态滤波器[J].兵工学报,2006,27(3):432-436. |
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| 作者姓名： | 盛梅 邹云 |
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| 作者单位： | 1．南京理工大学应用数学系,江苏南京210094;2．南京理工大学自动化院,江苏南京210094 |
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| 基金项目： | 国家自然科学基金,南京理工大学校科研和教改项目 |
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| 摘 要： | 研究了状态和测量同时受白噪声干扰时广义随机2-DRoesser模型的状态滤波器设计问题。将Kalman滤波器的设计推广至广义2-DRoesser模型。通过逐行扫描法,模能重构的广义2-DRoesser模型的滤波问题得到了解决,获得了状态向量的最优滤波的计算公式。计算步骤和例子说明了设计的滤波器的有效性。
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| 关 键 词： | 控制理论 广义系統 2-D系统 Roesser模型 Kalman滤波器 |
| 文章编号： | 1000-1093（2006）03-0432-05 |
| 收稿时间： | 2004-09-10 |
| 修稿时间： | 2004-09-10 |
State Filter of Singular 2-D Roesser Models |
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| SHENG Mei,ZOU Yun.State Filter of Singular 2-D Roesser Models[J].Acta Armamentarii,2006,27(3):432-436. |
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| Authors: | SHENG Mei ZOU Yun |
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| Affiliation: | 1. Department of Mathematics,Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China;
2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China |
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| Abstract: | The problem of state estimator design for stochastic singular 2-D Roesser models subjected to white noises in both the state and measurement equations was studied.The well-known Kalman filter design was extended to singular 2-D Roesser models that minimizes the variance of the estimation error of state vectors.The filtering problem of jump-mode reconstructable singular 2-D Roesser models was solved through the method of "scanning row by row".Explicit formulas of the estimator was derived and based on which a numerical procedure was proposed to demonstrate the validity of the designed filter. |
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| Keywords: | control theory singular system 2-D system Roesser model Kalman filter |
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