1. A fault detection system for detecting faults in a turbine engine, the fault detection system comprising: a sensor data processor, the sensor data processor configured to receive sensor data from the turbine engine and determine a difference between the sensor data and expected values of the sensor data to generate residuals from the sensor data and determine a rate of change of the residuals, the residuals from the sensor data and the rate of change of the residuals providing an augmented data set; and a fuzzy logic inference system, the fuzzy logic inference system configured to receive the augmented data set, and wherein the fuzzy logic inference system includes a plurality of membership functions and wherein each of the plurality of membership functions is associated with at least one data type in the residuals from the sensor data and the rate of change of the residuals, and wherein the fuzzy logic system is configured to fuzzify the residuals from the sensor data and the rate of change of the residuals using the plurality of membership functions and analyze the residuals from the sensor data and the rate of change of the residuals to determine a likelihood that a fault has occurred in the turbine engine.