Event-triggered state estimation for networked control systems with silent packet loss and coloured noise

This paper focuses on jointly designing a scheduler, detector, and estimator for networked control systems with silent packet loss (SPL) and coloured noise. A truncated Gaussian distribution emerges in the state estimator calculating process due to the event-triggered scheduling mechanism. Unfortunately, this distribution leads to the absence of an analytical expression in the derivation process, necessitating approximating the truncated Gaussian distribution as a Gaussian distribution within the design of the optimal estimator (OE). To overcome this issue, this paper implements a stochastic event-triggered scheduling mechanism. Moreover, a detector is devised to identify packet loss occurrences, thereby improving the estimation performance. Built upon the framework, an OE estimator is formulated. Then, a lower bound is established for the communication rate, and a necessary condition is obtained for the stability of the OE estimator in stable and unstable systems. In the end, numerical examples are provided to verify the effectiveness of theoretical results.