Approximate Minimum Mean Square Error Estimator for Linear Discrete Time-Varying Systems with Time Delay:Dealing with Try-once-Discard Protocols

This paper is to investigate the remote state estimation for linear discrete time-varying stochastic systems with observation delay under communication scheduling. To achieve efficient data transmission and ensure stable system operation, this paper uses the Try-Once-Discard protocol to dynamically allocate the signals to the estimator based on priority. Try-Once-Discard protocol is a scheduling strategy employed in network communication. The approximate minimum mean square error state estimation is studied under the Try-Once-Discard protocol. The original system with observation delay is firstly transformed into delay free system by using the reorganized observation method, and then the minimum estimation error estimator is developed in the approximate Gaussian case. When all signals are utilized in the estimator, the approximate estimator can be reduced to a Kalman filter. It is also shown that the estimation error covariance is bounded under some conditions. A simulation example is used to verify the effectiveness of the proposed method.