An approximate minimum mean-square error estimator for linear discrete time-varying systems: Handling Try-Once-Discard protocol

This paper is concerned with the remote state estimation problem for a class of linear discrete time-varying stochastic systems under communication constraints. In order to mitigate the undesired phenomena of data collisions, a Try-Once-Discard (TOD) protocol is utilized to regulate the signal transmissions over the sensor-to-estimator communication channel, where the TOD protocol is based on the scheduling rule described by a specific switching function. Under the introduced TOD protocol, the approximate minimum mean-square error (MMSE) state estimation problem is investigated and a recursive algorithm is developed for the MMSE estimator design whose computational complexity is comparable to that of the conventional Kalman filter. Furthermore, some conditions are established for the boundedness of the estimation error covariance. A numerical example is presented to illustrate the effectiveness of the proposed MMSE estimator.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper focuses on the remote state estimation problem of a class of linear discrete time-varying stochastic systems under communication constraints. A Try-Once-Discard (TOD) protocol is used to regulate signal transmissions over the sensor-to-estimator communication channel in order to mitigate data collisions. The paper investigates the approximate minimum mean-square error (MMSE) state estimation problem under the TOD protocol and develops a recursive algorithm for MMSE estimator design with comparable computational complexity to the conventional Kalman filter. The effectiveness of the proposed MMSE estimator is illustrated through a numerical example.