随着工业4。0的发展,移动智能体系统(Mobile agent-system,MAS)与多回路无线控制系统(Wireless control sys-tem,WCS)被部署到工厂中,构成异构工业物联网(Industrial internet of things,IIoT)系统,协作执行智能制造任务。在协作过程中,MAS与WCS紧密耦合,导致状态相关衰落,两者性能相互制约。为解决这一问题,研究异构工业物联网系统的最优控制问题,满足WCS控制性能约束与MAS安全生产约束的同时,最小化系统平均通信成本。首先,利用有限域系统描述MAS在不同阴影衰落程度工作区间的转移,刻画MAS与WCS耦合下的状态相关衰落信道模型。基于此,利用矩阵半张量积理论,通过构建受限跟随者状态转移图(Follower state transition graph,FSTG),建立最优控制问题可行性图判据,给出关于受限集合镇定的充分必要条件。其次,基于加权跟随者状态转移图的最小平均环理论,建立领航-跟随MAS最优控制序列的构造算法,并证明其最优性。最后,通过仿真验证算法的有效性。
Optimal Wireless Control Over State-dependent Fading Channels for Heterogeneous Industrial Internet of Things Systems
With the development of Industry 4.0,the mobile agent system(MAS)and wireless control system(WCS)are deployed in factories to collaboratively perform smart manufacturing tasks,forming a heterogeneous in-dustrial internet of things(IIoT)system.In this process,the WCS is coupled with the MAS,leading to state-de-pendent fading and restricting each other in performance.To address this issue,this paper focuses on the optimal control of the heterogeneous IIoT system to ensure the control performance constraints of WCS and the safety pro-duction constraints of MAS,while minimizing the average communication cost of the system.Firstly,the transition of MAS between cells with different levels of shadow effects is modeled by the finite-field system,and the state-de-pendent fading channel is characterized under MAS and WCS coupling.Based on this,using the theory of semi-tensor product of matrices,a graphical criterion is presented for the feasibility of the optimal control problem by constructing the constrained follower state transition graph(FSTG),and criteria in terms of constrained set stabil-ization are established.Secondly,by minimum-mean cycles for weighted follower state transition graph,an al-gorithm is proposed to construct optimal control sequences for the leader-follower MAS,and the optimality is proved.Finally,an illustrative simulation example is provided to demonstrate effectiveness of the algorithm.
Heterogeneous industrial internet of things systemstate-dependent fading channelinfinite-horizon op-timal controlsemi-tensor product of matrices