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Xiao Lu,Yuanyu Cai,Guilin Zhang,Hongxia Wang,Haixia Wang,Xiao Liang 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.5
This paper considers optimal control problem for networked control systems (NCSs) with Markovian packet dropouts. Since previous literatures generally consider the one-way Markovian packet dropouts, i.e., from the sensor to the estimator or from the controller to the actuator. To make a further study of this issue, we aim to give the complete solution to the control problem of the two-way Markovian packet dropouts, i.e., from the sensor to the estimator and from the controller to the actuator. Firstly, by applying the Pontryagin’s maximum principle and mathematical induction method, a solution to the forward and backward stochastic difference equations (FBSDEs) is derived. Secondly, in virtue of the solution to the FBSDEs, we obtain the necessary and sufficient condition for the optimal control problem. Thirdly, the optimal controller is given based on the complete square method. Finally, numerical examples are proposed to illustrate the effectiveness of the theoretical results.
Yuan Yu,Liang Tang,Xianzhang Ling,Degou Cai,Yangsheng Ye,Lin Geng 대한토목학회 2020 KSCE Journal of Civil Engineering Vol.24 No.4
The concrete roadbed in the Beijing-Shenyang high-speed railway (HSR) is being serviced for the first time in HSR construction history. Rail inspections have shown that the extreme temperature conditions in seasonally freezing regions can significantly influence the curling behavior of concrete roadbeds. This paper presents an in situ experiment to fundamentally evaluate the impact of seasonal temperature variations on the curling behavior of concrete roadbeds. Herein, a thermomechanical coupled finite element (FE) model is built and calibrated with experimental data. Then, specific consideration is given to the curling mitigationmeasures, including adjusting the thickness, length, and construction form of the concrete roadbed. Mitigating upward-curling behavior by increasing the thickness of the concrete roadbed will result in severe downward-curling behavior during one year of service. Finally, an active groove-setting construction form is suggested to prevent curling from the temperature variations in the concrete roadbed. In general, this study further enhances the common understanding of the temperature curling behavior of concrete roadbeds serviced in an HSR.