Decentralized Optimal Control and Stabilization of Interconnected Systems With Asymmetric Information  

作　　者：Na Wang Xiao Liang Hongdan Li Xiao Lu 

机构地区：[1]the College of Electrical Engineering and Automation,Shandong University of Science and Technology,Qingdao 266000,China [2]the School of Automation and Electrical Engineering,Linyi University,Linyi 276000,China [3]the College of Energy Storage Technology,Shandong University of Science and Technology,Qingdao 266000,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第3期698-707,共10页自动化学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(62273213,62073199,62103241);Natural Science Foundation of Shandong Province for Innovation and Development Joint Funds(ZR2022LZH001);Natural Science Foundation of Shandong Province(ZR2020MF095,ZR2021QF107);Taishan Scholarship Construction Engineering;the Original Exploratory Program Project of National Natural Science Foundation of China(62250056);Major Basic Research of Natural Science Foundation of Shandong Province(ZR2021ZD14);High-level Talent Team Project of Qingdao West Coast New Area(RCTD-JC-2019-05)。

摘　　要：The paper addresses the decentralized optimal control and stabilization problems for interconnected systems subject to asymmetric information.Compared with previous work,a closed-loop optimal solution to the control problem and sufficient and necessary conditions for the stabilization problem of the interconnected systems are given for the first time.The main challenge lies in three aspects:Firstly,the asymmetric information results in coupling between control and estimation and failure of the separation principle.Secondly,two extra unknown variables are generated by asymmetric information(different information filtration)when solving forward-backward stochastic difference equations.Thirdly,the existence of additive noise makes the study of mean-square boundedness an obstacle.The adopted technique is proving and assuming the linear form of controllers and establishing the equivalence between the two systems with and without additive noise.A dual-motor parallel drive system is presented to demonstrate the validity of the proposed algorithm.

关 键 词：Asymmetric information decentralized control forwardbackward stochastic difference equations interconnected system stalibization 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]