Fault detection for a class of nonlinear networked systems under adaptive event-triggered scheme with randomly occurring nonlinear perturbations

The problem of fault detection for a class of nonlinear systems with randomly occurring nonlinear perturbations under the adaptive event-triggered scheme is investigated. The phenomena of randomly occurring nonlinear perturbations are modelled as a stochastic variable satisfying a certain probability distribution. An adaptive event-triggered scheme is developed to further reduce the data transmission over the network and reduce the utilisation ratio of network resources. A full-order fault detection filter is constructed. By augmenting the states of the original system and the fault detection filter, the problem of fault detection is transformed into an auxiliary $ H_{\infty } $ H∞ filtering for a time delay system. Sufficient conditions for the existence of the designed fault detection filter are obtained in terms of a group of linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed method.