This paper investigates the problem of fault detection (FD) for discrete-time switched systems. Under a dwell time constraint, a switching rule that depends on the measured output is constructed for the system. Time-varying residual generators are designed such that the switched system is asymptotically stable and also with the detection performance under this switching rule. The advantages of the proposed technique are threefold: 1) It has the advantages of both slow switching and fast switching. 2) It can extend the classic design of time-invariant residual generator. 3) It can guarantee the switched system still has the desired fault detection performance even if all subsystems are without it. This feature reduces the performance requirements for each subsystem. A numerical example illustrates the effectiveness of the proposed method.

本文研究了离散时间切换系统的故障检测（FD）问题。在停留时间约束下，为系统构造了一个取决于测得输出的切换规则。设计时变残差生成器，以使切换系统渐近稳定，并且在此切换规则下具有检测性能。所提出的技术的优点有三方面：1）它具有慢切换和快切换的优点。2）可以扩展时不变残差发生器的经典设计。3）即使所有子系统都没有它，也可以确保交换系统仍然具有理想的故障检测性能。此功能降低了每个子系统的性能要求。数值算例说明了该方法的有效性。