基于自适应观测器的线性离散系统故障诊断

Fault Diagnosis for Linear Discrete Systems Based on Adaptive Observer

为诊断线性离散系统中的故障,提出了基于状态估计的自适应观测器故障诊断方法。利用基于Lyapunov函数的自适应观测器构造残差信号,设计了观测器增益矩阵和故障估计值的自适应调节规律。保证Lyapunov函数的一阶导数为负,所提出的自适应调整律能够实现观测器稳定和故障估计误差收敛。仿真结果表明,该方法可以及时检测系统故障,且能够诊断故障大小。

To diagnose the fault of a class of linear discrete systems,a fault diagnosis algorithm using an adaptive observer based on state estimation is presented.A Lyapunov-based adaptive observer is proposed in producing residual signals.The observer gain matrix and adaptive adjusting rule of the fault estimate is designed.The first order derivative of the Lyapunov function is guaranteed to be negative.By using the adaptive regulating algorithm,the observer is ensured to be stable and the estimation errors are guaranteed to converge.The simulation results illustrate that the proposed algorithm can rapidly detect the system fault and diagnose its value.