Abstract: To study the design of a kind of fault diagnosis observer in nonlinear system, the fault diagnosis observer is designed according to the faults of actuator and sensor in the same nonlinear system. The stable and sufficient conditions of fault closed-loop system that is able to meet certain performance indicators are made using linear matrix inequality approach. Finally, a numerical example is used to verify the effectiveness of the proposed fault diagnosis observer, and the simulation results show that the fault diagnosis observer can diagnose the system faults well.

Key words: Fault diagnosis observer, nonlinear system, actuator fault, sensor fault, linear matrix inequality

摘要： 研究了一类非线性系统故障诊断观测器的设计问题。针对同时具有执行器故障和传感器故障的非线性系统，设计了故障诊断观测器。利用线性矩阵不等式方法给出了故障闭环系统渐近稳定的充分条件，同时故障闭环系统还满足一定的性能指标。最后，以数值算例验证所设计的故障诊断观测器的有效性，仿真结果表明该故障诊断观测器能够很好地诊断出系统的故障。

关键词: 故障诊断观测器, 非线性系统, 执行器故障, 传感器故障, 线性矩阵不等式