Event-Based Estimation Over Hydrogen AAV-Based Relay Network With Silent Packet Loss

Silent packet loss (SPL) poses a significant challenge for state estimation, due to the lack of information regarding the packet loss status (PLS). This issue is particularly prominent in event-based systems, where the interplay between event-triggered feedback mechanisms and SPL complicates the estimation process. Existing approaches often employ detectors, but achieving 100% detection accuracy remains nearly impossible, and false detections further complicate the probability distribution of system states. In this article, we propose a silent message-passing mechanism (SMPM) to address the SPL of measurements, which may be coupled with an event-based scheduler, as the feedback channel is also affected by the SPL. Besides, a dynamic Chi-square ( $d$ - $\mathcal {X}^{2}$ ) detector is proposed, whose detection accuracy is proven to converge to 100% with time. Subsequently, an estimator based on the $d$ - $\mathcal {X}^{2}$ detector under the SMPM is designed for unstable systems with the SPL of measurements. More importantly, a stability condition is established, revealing the relationship between the SPL rate and estimation performance. Both simulations and experiments validate the effectiveness of the theoretical findings presented in this article.