| 一类模有界非确定连续线性系统的线性弹性滤波 |
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| 引用本文： | 刘满,谢丛波,董莹. 一类模有界非确定连续线性系统的线性弹性滤波[J]. 大连民族学院学报, 2008, 10(5) |
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| 作者姓名： | 刘满 谢丛波 董莹 |
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| 作者单位： | 大连民族学院理学院,辽宁大连,116605 |
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| 基金项目： | 中国博士后科学基金资助项目，大连民族学院博士科研启动基金资助项目 |
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| 摘 要： | 研究了一类具有模有界的线性连续系统的线性弹性滤波问题,考虑了滤波器增益变更导致的滤波器执行中的不确定影响。弹性滤波器的设计问题可公式化为线性矩阵不等式的凸最优问题,卡尔曼滤波器是本文结果的极限情形,该结论可推广到多重滤波器增益变量情形。
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| 关 键 词： | 非确定系统 模有界不确定性 弹性滤波 线性矩阵不等式 |
Resilient Linear Filtering for a Class of Continuous - time Systems with Norm- bounded Uncertainties |
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| LIU Man,XIE Cong-bo,DONG Ying. Resilient Linear Filtering for a Class of Continuous - time Systems with Norm- bounded Uncertainties[J]. Journal of Dalian Nationalities University, 2008, 10(5) |
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| Authors: | LIU Man XIE Cong-bo DONG Ying |
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| Affiliation: | LIU Man; XIE Cong-bo; DONG Ying(College of Science; Dalian Nationalities University; Dalian Liaoning 116605; China); |
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| Abstract: | The problem of resilient linear filtering for a class of continuous-time systems with norm-bounded uncertainties is investigated.Additive filter gain variations to reflect the imprecision in filter implementation has been considered.The design problem of resilient linear filter is formulated as a convex optimization problem over linear matrix inequalities.The case of resilient Kalman filter can be derived as a limiting procedure.All the results may be easily extended to the case of multiplicative filter gain variation. |
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| Keywords: | uncertain systems norm-bounded uncertainties resilient filtering LMI |
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