Applications of the fault diagnosis: Inverse problem methodology to benchmark problems

Abstract

This chapter presents the application of the last three steps (2, 3, and 4) of the Fault Diagnosis—Inverse Problem Methodology (FD-IPM), as described in Sect. 2.1, to the three benchmark problems that were presented in Sect. 2.4. Step 2 is to evaluate the faults for which only the detection is possible. The third step deals with the solution of an optimization problem with metaheuristics. The fourth step provides the conclusion on the diagnosis of the system, based on the results from the third step. The experiments with the DC Motor, Inverted Pendulum System and Two Tanks System are presented in Sects. 4.2, 4.3 and 4.4, respectively. The Inverted Pendulum System is affected by faults which cannot be diagnosed, only detected. For that reason, Step 2 was only applied to the The Inverted Pendulum System.