具有数据包丢失的网络化Markov跳变系统故障检测

Fault Detection for Networked Markov Jump Systemswith Data Packet Dropout

对传感器到控制器具有丢包的网络化Markov跳变系统故障检测问题进行研究.在控制器端构造观测器,通过对数据包丢失的分析建立闭环系统数学模型;通过构造合适的Lyapunov函数,得到闭环系统随机稳定的充分条件,并给出控制器增益矩阵、观测器增益矩阵,以及最小扰动抑制指标的求解方法;利用数值仿真验证所提方法的有效性.

The fault detection problem for networked Markov jump system with sensor-to-controller data packet dropout is investigated in this paper.Firstly,an observer is constructed on the controller side,and the mathematical model of the closed-loop systems is established by analyzing the data packet dropout.Secondly,by constructing a suitable Lyapunov function,a sufficient condition for the stochastic stability of the closed-loop systems is obtained.The solution methods of the controller gain matrix,the observer gain matrix and the minimum disturbance suppression index are given.Finally,a numerical simulation shows the effectiveness of the proposed method.