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Finite-time distributed resilient state estimation subject to hybrid cyber-attacks: a new dynamic event-triggered case

This paper is concerned with the issues of finite-time distributed resilient state estimation subject to hybrid cyber-attacks. The information exchanges among estimators are governed by an improved dynamic event-triggered mechanism, in which the time-varying threshold with predetermined upper and lower bounds is updated by artificial internal dynamics. With the help of the Lyapunov stability theory combined with the S-procedure, a sufficient condition is developed such that the augmented error dynamics are stochastic finite-time bounded. Furthermore, the desired estimator gains are acquired in terms of the solution to certain matrix inequalities which involve the information of communication topology, cyber-attack probabilities as well as the uncertainty of gain matrices. Finally, the effectiveness of the designed distributed state estimator is illustrated by a numerical example.