This paper investigates the problem of linear time invariant system multiple faults detection and isolation in a certain frequency interval. A fault detection(FD) scheme which is composed by a conventional Luenberger observer is considered. Using diagonal dominance decoupling method, we design a novel fault isolation compensator in a certain frequency interval to realize fault isolation. Different from conventional design of fault isolation filter, the fault isolation compensator is designed independently. Since the compensator doesn’t change the convergence of the original FD scheme, it has ability to upgrade a stable FD scheme to an fault detection and isolation (FDI) scheme. By the end, numerical examples are given to illustrate the effectiveness of the proposed method.

研究了在一定频率区间内线性时不变系统多重故障的检测与隔离问题。考虑了由常规的Luenberger观测器组成的故障检测（FD）方案。利用对角线优势解耦方法，设计了一种新颖的在一定频率间隔内的故障隔离补偿器，以实现故障隔离。与传统的故障隔离滤波器设计不同，故障隔离补偿器是独立设计的。由于补偿器不会改变原始FD方案的收敛性，因此它能够将稳定的FD方案升级为故障检测和隔离（FDI）方案。最后，通过数值算例说明了该方法的有效性。