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Further Study on Networked Control Systems with Unreliable Communication Channels

Xiao Lu, Na Wang, Qingyuan Qi, Xiao Liang*, and Haixia Wang
International Journal of Control, Automation, and Systems, vol. 19, no. 1, pp.329-338, 2021

Abstract : This paper focuses on the fundamental problems of linear quadratic gaussian (LQG) control and stabilization problems for networked control systems (NCSs) with unreliable communication channels (UCCs) where packet dropout, input delay and observation delay occur. These basic issues have attracted extensive attentions due to broad applications. Our contributions are as follows. For the finite horizon case, without time-stamping technique, the optimal estimator is derived by using the novelty method of innovation sequences based on the delayed intermittent observations; A necessary and sufficient condition for the optimal control problem is presented on the basis of the solution to the forward and backward difference equations (FBDEs) and two coupled Riccati equations. For the infinite horizon case, it is shown that under certain assumption, the system can stay bounded in the mean square sense if and only if the algebraic Riccati equation admits the unique positive solution.

Keyword : Boundedness, LQG control, networked control systems, stabilization.

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