I. Introduction
Fault diagnosis technology has become a significant research topic in various industrial systems due to the increasing requirements for higher reliability and safety [1]. In recent years, the main direction in terms of system reliability is concentrated on the large amplitude of faults via the model-based method. In general, the model-based fault detection and isolation (FDI) is an effective tool for an accurate system model, especially the actuator and sensor faults [2]. However, there may exist incipient fault, which is easily covered by modeling error, external disturbances, or measurement noises. It is difficult to guarantee the tradeoff between the robustness against the disturbances and the sensibility for the faults. Hence, the model-based method has certain limitations for incipient fault. Though the degree of a system deviation from its normal state is relatively inconspicuous when an incipient fault occurs at the early stage, it may still pose a significant security risk to the system over time. If the incipient faults can be accurately detected and isolated earlier by an FDI technique, the system will be regularly maintained and overhauled. By doing so, people can reduce or avoid the occurrence of catastrophic faults. Therefore, a data-driven gap metric FDI (DDGMFDI) method is expected to detect and isolate incipient faults.