Observer-based Fault Detection and Isolation for 2D State-space Models

H−/H∞ fault detection observer design for two-dimensional Roesser systems

“…For simulations the parameters in (28) and (29) are taken as α f = α g = β = γ = 1 and ∆t = ∆z = 0.1 [33]. Moreover, suppose that the model is subject to disturbances.…”

“…To date, however, few works have been reported on fault detection for 2-D systems [29][30][31]. In [29], a complete theory of dead-beat observer-based fault detectors and isolators has been developed.…”

“…In [29], a complete theory of dead-beat observer-based fault detectors and isolators has been developed. The method in [29] has been extended to deal with the fault detection and isolation problem for 2-D systems in a quite general setting in [30].…”

“…In [29], a complete theory of dead-beat observer-based fault detectors and isolators has been developed. The method in [29] has been extended to deal with the fault detection and isolation problem for 2-D systems in a quite general setting in [30]. The generalized H 2 fault detection for 2-D discrete-time Markovian jump systems has been investigated in [31], where LMI-type sufficient conditions for the existence of a desired fault detection filter has been derived.…”

“…The generalized H 2 fault detection for 2-D discrete-time Markovian jump systems has been investigated in [31], where LMI-type sufficient conditions for the existence of a desired fault detection filter has been derived. It is noted that the fault detection and isolation or fault detection problems in [29][30][31] are considered in full frequency domain. Motivated by [26][27][28], in this paper, we propose a finite frequency fault detection method for 2-D systems in Roesser model.…”