具有不确定丢包率和时变采样周期的Delta算子系统故障检测  

Fault detection for delta operator systems with uncertain packet dropout rate and time-varying sampling periods

作　　者：张端金[1] 张银双 ZHANG Duan-jin;ZHANG Yin-shuang(School of Information Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学信息工程学院,郑州450001

出　　处：《控制与决策》2021年第5期1101-1109,共9页Control and Decision

基　　金：国家自然科学基金项目(61471323)。

摘　　要：研究一类由Delta算子描述具有不确定丢包率的时变采样网络控制系统故障检测问题.数据包丢失发生在传感器至控制器、控制器到执行器的数据传输过程中,丢包模型采用两个相互独立的伯努利随机变量表示,假设传感器至控制器通道中的丢包率是不确定的,其均值由常数和不确定值两部分组成.时变采样周期利用有限长切换序列表示可降低保守性.采用Delta域的Lyapunov函数方法,提出所考虑的增广系统渐近稳定且具有H∞性能的充分条件.基于线性矩阵不等式得到故障检测滤波器的相应参数,数值仿真结果验证了所提方法的可行性和有效性.This paper investigates a class of fault detection problems for time-varying sampling networked control systems with uncertain packet dropout rate via delta operator. Packet dropout occurs during sensor-to-controller and controller-toactuator data transfer, the packet dropout model is represented by two independent Bernoulli random variables, assuming that the packet dropout rate is uncertain in the sensor-to-controller channel, and its mean consists of the constant and uncertain value. Time-varying sampling periods are described by finite length switching sequence, which can reduce conservativeness. The sufficient conditions which can guarantee the asymptotical stability of the augmented system with H∞ performance are obtained using the Lyapunov function method in delta domain. The corresponding parameters of the fault detection filter can be obtained using the linear matrix inequality, and numerical simulation results verify the feasibility and effectiveness of the proposed method.

关 键 词：网络控制系统 故障检测 数据包丢失 时变采样周期 DELTA算子 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]