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        Further Study on Networked Control Systems with Unreliable Communication Channels

        Xiao Lu,Na Wang,Qingyuan Qi,Xiao Liang,Haixia Wang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1

        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) wherepacket dropout, input delay and observation delay occur. These basic issues have attracted extensive attentions dueto 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 delayedintermittent observations; A necessary and sufficient condition for the optimal control problem is presented on thebasis 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 meansquare sense if and only if the algebraic Riccati equation admits the unique positive solution.

      • KCI등재

        Optimal LQG Control for Networked Control Systems with Remote and Local Controllers

        Xiao Liang,Juanjuan Xu,Xiao Lu,Qingyuan Qi,Haixia Wang,Rong Gao 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.1

        We consider the finite horizon optimal LQG control problem for networked control systems with a remote controller, a local controller and communication channels with packet dropouts and transmission delays. The local controller can directly observe state signals and send them to the remote controller via a packet-dropout channel. Then the remote controller sends the received measurement signals to the local controller. Afterwards, the two controllers operate the plant through a delayed channel. The contributions of this paper are as follows: Firstly, at the side of the remote controller, we develop an optimal estimator to show that the separation principle holds. Secondly, we derive a non- homogeneous relationship between the state and the costate of systems in virtue of the maximum principle. Finally, a necessary and sufficient condition for the optimal control problem is derived in terms of the two coupled Riccati equations. Numerical examples are employed to illustrate the theoretical results.

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