Robust fault detection and isolation for a class of discrete-time linear parameter-varying systems with time-delays

This paper investigated the problem of robust fault detection and isolation for a class of discrete-time linear parameter-varying systems with time-varying delays. The residual generator was constructed by the filter whose parameters matrices depend on time-varying parameter. The design of fault detection filters was reduced to H_∞ filtering problem. The obtained filter can assure the difference between the residual and the fault as small as possible and robustness of the residual to control input and external disturbance. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities. A numerical example illustrates the feasibility of the proposed approach.