具有双通道数据包丢失的Delta算子系统故障检测

研究同时存在双通道数据包丢失和时变时延的Delta算子网络控制系统(NCSs)故障检测问题.假定数据包丢失发生在控制器到执行器、传感器至控制器的数据传输过程中,并且利用两个相互独立的伯努利随机变量描述是否发生丢包.将上述的NCSs建模为网络切换系统,提出任意切换律下故障检测滤波器的设计方法.利用线性矩阵不等式(LMIs)方法、Lyapunov-Krasovskii泛函和平均驻留时间等得出所考虑的网络切换系统具备指数均方稳定性的充分条件.证明了所用的网络切换系统满足H∞性能,并推导出了滤波器参数的显式表达.数值仿真结果验证了所提方法的有效性.

Fault Detection for Delta Operator Systems with Two-channel Packet Losses

The problem of fault detection for delta operators networked control systems (NCSs) with two-channel packet losses and time-varying delays is investigated. Here, it is assumed that packet losses occur during data transfer from controller-to-actuator and sensor-to-controller and that two independent Bernoulli random variables are used to indicate whether packet loss has occurred. The above NCSs are modeled as networked switched systems, and the design method of fault detection filter under an arbitrary switching law is given. The sufficient conditions of the exponential mean-square stability of the considered networked switched system are obtained using linear matrix inequalities (LMIs) approach, Lyapunov-Krasovskii functional, and average dwell time. It is proved that the system satisfies the H_∞ performance. The explicit expression of the desired filter parameters is derived. A numerical example is presented to verify the effectiveness of the proposed method.