Fault detection for switched positive systems under successive packet dropouts with application to the Leslie matrix model
Fault detection for switched positive systems under successive packet dropouts with application to the Leslie matrix model
复制标题
连续丢包情况下的正切换系统故障检测及其在 Leslie 矩阵模型中的应用
DOI：
10.1002/rnc.3476
复制
发表时间：
2016
影响因子：
3.9
通讯作者：
Wang Wei
中科院分区：
文献类型：
--
作者：
Wang Dong;Wang Zidong;Li Guoyang;Wang Wei
在本文中，针对一类在传感器和滤波器之间的通道上存在数据包丢失的正向切换系统，解决了故障检测滤波器的设计问题。丢包现象由伯努利过程控制，并根据植物和过滤器的增强状态建立随机切换正系统。制定了两个标准来评估所调查系统的故障检测性能。建立了具有 L1 扰动衰减水平的均方稳定性所需滤波器的存在性的充分条件，并且还通过根据线性规划构造切换李雅普诺夫函数导出了 L− 故障灵敏度指数。提供了两个说明性示例，其中之一与 Leslie 矩阵模型有关，以显示所提出结果的有效性和适用性。版权所有 © 2015 约翰·威利父子有限公司
In this paper, the problem of fault detection filter design is dealt with for a class of switched positive systems with packet dropouts on the channel between the sensors and the filters. The phenomena of packet dropouts are governed by a Bernoulli process, and a stochastic switched positive system is established based on the augmented states of the plants and filters. Two criteria are developed to evaluate the performance of the fault detection for the system under investigation. Sufficient conditions are established on the existence of the desired filters for the mean‐square stability with an L1 disturbance attenuation level, and an index for the L− fault sensitivity is also derived through constructing a switched Lyapunov function in term of linear programming. Two illustrative examples, one of which is concerned with the Leslie matrix model, are provided to show the effectiveness and applicability of the proposed results. Copyright © 2015 John Wiley & Sons, Ltd.