自动化学报2025，Vol.51Issue(12)：2691-2702,12.DOI:10.16383/j.aas.c250120
无线控制系统中的联合鲁棒波束成形与设备调度算法
Joint Robust Beamforming and Device Scheduling Algorithm in Wireless Control Systems
摘要
Abstract
Under the constraints of limited wireless resources,it is still a technical challenge for wireless control sys-tems to employ multi-beam technology to achieve the simultaneous control of multiple loops.In this paper,under the condition that only the imperfect channel state information is available,a joint robust beamforming and device scheduling algorithm is proposed to ensure control stability while reducing the overall system cost.Firstly,an op-timization problem is formulated in the scene of simultaneous control of multiple loops,with the objective of minim-izing the weighted sum of control and communication costs,subject to constraints of control stability and transmit power.Secondly,the stability constraint is transformed into a transmission success probability constraint via quad-ratic Lyapunov function.Due to the intractability of this non-convex problem,we further propose a bi-objective framework to jointly optimize the control and communication costs.Specifically,a device scheduling algorithm based on the Whittle index method is introduced to minimize control cost,while a robust beamforming algorithm using Bernstein inequality and semidefinite programming is designed to minimize communication cost under control stability requirements.Finally,computer simulations show that,compared to typical transmission schemes,the pro-posed algorithm can reduce the total cost by 10%to 41%,achieving a good trade-off between communication and control costs.关键词
无线控制系统/李雅普诺夫函数/调度策略/非完美信道状态信息/波束成形Key words
Wireless control systems/Lyapunov function/scheduling policy/imperfect channel state information/beamforming引用本文复制引用
MA Biao,JIANG Zheng-Mang,OUYANG Hui-Min,WANG Zi-Ning,LIN Min..无线控制系统中的联合鲁棒波束成形与设备调度算法[J].自动化学报,2025,51(12):2691-2702,12.基金项目
国家自然科学基金(62471255),江苏省研究生科研与实践创新计划项目(KYCX25_1115)资助 Supported by National Natural Science Foundation of China(62471255)and Ministry of Education and the Postgraduate Re-search and Practice Innovation Program of Jiangsu Province(KYCX25_1115) （62471255）
