Observer design for discrete-time systems subject to long time-delay

Abstract

This paper addresses the problem of designing a classical observer extended to dynamical discrete-time systems with constant delays. The idea of two forms of state observers is presented to compensate fixed time-delay. Convergence conditions have been found to ensure the stability of the error dynamics and the related gains may be selected based on a set of linear matrix inequality (LMI). The results show that the compensation-based state observer is much superior in dealing with time-delay in the case that the buffer permits us to transform the time-delay system into a fixed time-delay system. Simulation and experimental results are provided to demonstrate the advantage of the proposed observation technique.

Robust optimal estimation over networks: Application to battery state of charge estimation

“…The corresponding delay compensation algorithm was based on a deterministic state estimator. In , similar delay maximizing strategies were presented to deal with sensor‐to‐estimator measurement feedback signals with a buffer or ‘waiting’ scheme. As its name implies, assuming that there is a maximal value of time delay, this maximal‐delayed data packet is guaranteed to arrive at the estimator.…”

“…Research work on network‐faced state estimation has gone through several phases: first of all, a deterministic model , secondly, stochastic measurement feedback or network modeling , and today, robust design to conquer network‐induced issues . With the change of different network environments and new required performance demands, these techniques corresponding to the previously mentioned phases have been developed up to now.…”

“…Such a method has also been proposed by Jin and Xue . Compared with the deterministic state estimation method , the results in show that a bounded error covariance is achieved and optimized with respect to the stochastic packet arrival process. It is suitable for the situation where statistical properties of packet transmission are collected.…”