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

Abstract

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.

Keywords:

• Sensor networks
• cyber-attacks
• dynamic event-triggered mechanisms
• distributed state estimation
• finite-time boundedness

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data sharing is not applicable to this article as no new data were created or analysed in this study.