Abstract: For the problem of actuator fault detection on uncertain descriptor system, an interval observer approach is investigated. An interval observer design method for descriptor system without actuator fault is discussed, and the problem is transformed into a Sylvester form by means of two transforms. By using the output of the interval observer and the output of the system, an actuator fault detector is built. The correctness and effectiveness are illustrated via a physical example.

Key words: Fault detection, descriptor system, actuator fault, interval observer

摘要： 针对含有执行器故障的不确定广义系统，研究了利用区间观测器实现故障检测的方法。假设执行器故障不存在，讨论广义系统区间观测器设计方法，通过两次变换，将区间观测器设计转化为求解Sylvester方程的形式；利用区间观测器的输出构造系统不含执行器故障时的输出上下界，以系统输出是否超出所构造的上下界来实现执行器故障检测；实例仿真说明了所提方法的正确性和有效性。

关键词: 故障检测, 广义系统, 执行器故障, 区间观测器