Adaptive event-triggered fault detection for Markovian jump systems with network time-delays

Abstract

In this paper, the adaptive event-triggered fault detection (FD) problem is investigated for Markovian jump systems (MJSs) with network time-delays and data package dropouts. First, a novel event-triggered communication strategy with an adaptive threshold is introduced to screen the sampled signals and reduce the data releasing frequency. Consequently, the limited communication resources and network bandwidth are saved as much as possible. Second, since communication links between the plant and filter are considered to be unreliable, the effects of intermittent package dropouts phenomenon and network time-delays are taken into account simultaneously. By using time-delay system method, the network-induced phenomena, adaptive event-triggered strategy and MJSs are unified into a networked MJSs time-delay system. Then, sufficient conditions are developed such that the resulting residual system is mean-square exponentially stable with the desired [Formula: see text] performance. Finally, a numerical example of the F-404 aircraft engine system is provided to illustrate the effectiveness and potential of the proposed design method.

Adaptive event‐triggered fault detection for Markov jump nonlinear systems with time delays and uncertain parameters

“…Therefore, it is said that adding delay‐product terms to the L–K functional can reduce the conservatism of the result. It is worth mentioning that the practice of reducing conservatism by delay‐product‐type functional has not been noticed in some similar FD studies 35‐37 …”

“…The adaptive event‐triggered mechanism uses internal state to adjust the triggering threshold, and releases the signal according to the triggering condition. We note that in past work, Liu et al 36 applied the adaptive event‐triggered mechanism to the study of FD, and inspired by it, we add an additional parameter $$$ \theta $$$ to control the convergent rate of the trigger threshold in (7). Such an approach can save network resources as much as possible while preserving as many informative features as possible.…”

“…It is worth mentioning that the practice of reducing conservatism by delay-product-type functional has not been noticed in some similar FD studies. [35][36][37] Remark 5. After a long development, event-triggered mechanisms have evolved into the primary communication method of networked control systems.…”

Fault Detection for Interval Type-2 T-S Fuzzy Networked Systems via Event-Triggered Control

“…New challenges are brought to the control field to deal with problems such as delay, data packet loss and network bandwidth limitation caused by network introduction [5][6][7][8][9]. With the development of nonlinear networked systems, it needs new performance indexes including standard interface modularization, high reliability, high stability, and so on [10,11].…”

“…Different event triggering methods are studied such as the adaptive event-triggering mechanism [5,10,22,23,27,29,32], the dynamic event triggering mechanism containing internal dynamic variables [19,28,31], the event triggering mechanism designed by improving constant thresholds [8,15,16,20,21,25,26]. The fault filtering problem of NCSs with interval time-varying time lags is studied by using the fuzzy fault detection filter with a generic structure [17].…”