Fault Detection and Isolation for Semi-Markov Jump Systems with Generally Uncertain Transition Rates Based on Geometric Approach

This paper studies the problem of fault detection and isolation (FDI) for continuous-time semi-Markov jump systems (S-MJSs) with generally uncertain transition. Firstly, a class of residual signals and fault model of S-MJSs with generally uncertain transition rates are designed. Secondly, the parameters of residual generator are obtained by a geometric approach, such that each fault is affected by one fault and decoupled from other faults. The fault states can be determined by comparing the residual output signals with the threshold. Finally, simulation results of FDI based on geometric approach are provided to illustrate the effectiveness of the proposed theoretical results.