| 引用本文: | 程子豪,卜旭辉,梁嘉琪,闫帅可.一类存在数据丢失二维离散系统的H∞滤波[J].控制理论与应用,2016,33(4):523~529.[点击复制] |
| Cheng Zi-hao,BU Xu-hui,Liang Jia-qi,Yan Shuai-ke.H-infinity filtering for a class of two-dimensional discrete systems with data dropouts[J].Control Theory and Technology,2016,33(4):523~529.[点击复制] |
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| 一类存在数据丢失二维离散系统的H∞滤波 |
| H-infinity filtering for a class of two-dimensional discrete systems with data dropouts |
| 摘要点击 2994 全文点击 1896 投稿时间：2015-07-11 修订日期：2015-11-03 |
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| DOI编号 10.7641/CTA.2016.50609 |
| 2016,33(4):523-529 |
| 中文关键词 二维离散系统 Rosser模型 数据丢失 H∞滤波 线性矩阵不等式 |
| 英文关键词 two dimensional discrete system rosser model data dropouts H-infinity filtering linear matrix inequalities |
| 基金项目 国家自然科学基金项目(61203065, 61573129), 河南省高校科技创新人才支持计划(16HASTIT046), 河南省高等学校青年骨干教师计划项目 (2014GGJS–041), 河南省高校基本科研业务费专项资金资助. |
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| 中文摘要 |
| 研究输出测量数据丢失情况下二维线性离散系统的H∞滤波问题. 首先, 将数据丢失现象描述为随机伯努
利序列, 在此基础上建立二维系统状态估计误差的随机动态方程. 其次, 定义随机意义下的二维系统均方渐近稳定
性和H∞性能, 基于线性矩阵不等式给出误差系统满足均方渐近稳定和H∞性能的一个充分条件, 该条件可以实现
滤波器参数矩阵的设计. 同时, 研究结果被进一步推广到不确定二维系统. 最后, 通过仿真示例验证了理论结果的有
效性. |
| 英文摘要 |
| This paper considers the H-infinity filtering problem of 2-D discrete linear systems with output measurement
dropouts. Firstly, data dropout is modeled by a stochastic Bernoulli sequence, and then the stochastic dynamic equation
of state estimation error is established. Secondly, the mean-square asymptotically stable and H-infinity performance of
2-D systems are defined. A sufficient condition is given in terms of linear matrix inequalities, which guarantees the error
system to be mean-square asymptotically stable and has H-infinity performance. The condition can also realize the design
of the filter matrix parameters. Then, the result is also extended to the 2-D systems with uncertain parameters. Finally, the
effectiveness of the theoretical result is validated by a numerical example. |
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