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Abstract
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 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.
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