Fault Detection for Lumped-Parameter LTI Systems using Integral Transformations and Trajectory Planning Methods

Abstract

This paper presents a new approach to the fault detection for lumped-parameter LTI systems subject to additive and multiplicative actuator, sensor and process faults. Additionally, disturbances with finite energy on a moving horizon are taken into account. A residual generator using only simple moving horizon integrals of known signals is derived. For the residual generator design a systematic method is proposed, which is based on a flatness-based trajectory planning problem. Thereby, free parameters are determined to achieve a maximized sensitivity of the residual signal to the fault in the presence of disturbances. The results are demonstrated for a numerical example and compared to results of an observer-based fault detection approach taken from the literature. The corresponding simulation results validate the increased fault detection performance gained by the new approach.