Adaptive Event-Triggered Distributed Observer Under Communication Link Faults

This article addresses the problem of event-based fully distributed state estimation for an unperturbed linear time-invariant system in the presence of communication link faults. In a networked system, each agent is capable of constructing its local observer adaptively and transmitting its estimation to neighbors through discrete communication, thereby achieving accurate estimation of the system state while saving communication resources effectively. Specifically, first, the target system state can be decomposed into detectable and undetectable parts through detectability decomposition. Based on this, an adaptive event-triggered distributed observer is proposed, employing event-based adaptive coupling gains without the necessity for any global information. Additionally, a dynamic event-triggered mechanism with a mixed event-triggered threshold is introduced to generate the event-triggered sequence. Subsequently, the effectiveness of the proposed observer is verified through the analysis of estimation error and the assessment of Zeno behavior. Finally, the theoretical results of this article are validated through some simulation examples.