Receding Horizon Control-Based Stabilization of Singular Stochastic Systems with State Delay  

作　　者：王晓静 刘晓华 高荣 WANG Xiaojing;LIU Xiaohua;GAO Rong(College of Engineering,Yantai Nanshan University,Yantai 265706,Shandong,China;School of Mathematics and Statistics Science,Ludong University,Yantai 264025,Shandong,China)

机构地区：[1]College of Engineering,Yantai Nanshan University,Yantai 265706,Shandong,China [2]School of Mathematics and Statistics Science,Ludong University,Yantai 264025,Shandong,China

出　　处：《Journal of Shanghai Jiaotong university(Science)》2024年第3期436-449,共14页上海交通大学学报（英文版）

基　　金：the Natural Science Foundation of Shandong Province (No.ZR2020MF063);the National Natural Science Foundation of China (No.61873332)。

摘　　要：For a class of discrete-time singular stochastic systems with multi-state delay,the stabilization problem of receding horizon control(RHC)is concerned.Due to the difficulty in solving the proposed optimization problem,the RHC stabilization for such systems has not been solved.By adopting the forward and backward equation technique,the optimization problem is solved completely.A sufficient and necessary condition for the optimization controller to have a unique solution is given when the regularization and pulse-free conditions are satisfied.Based on this controller,an RHC stabilization condition is derived,which is in the form of linear matrix inequality.It is proved that the singular stochastic system with multi-state delay is stable in the mean-square sense under appropriate assumptions when the terminal weighting matrix satisfies the given inequality.Numerical examples show that the proposed RHC method is effective in stabilizing singular stochastic systems with multi-state delay.

关 键 词：receding horizon control(RHC) singular stochastic system state delay STABILIZATION 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]