无线控制系统中的联合鲁棒波束成形与设备调度算法

马彪; 姜正莽; 欧阳慧珉; 王子宁; 林敏

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

doi: 10.16383/j.aas.c250120 cstr: 32138.14.j.aas.c250120

1.
南京邮电大学通信与信息工程学院南京 210003
2.
南京工业大学电气工程与控制科学学院南京 211816

基金项目: 国家自然科学基金 (62471255), 智能化航天测运控教育部重点实验室基金资助项目 (NO. CYK2024-02-03), 江苏省研究生科研与实践创新计划项目 (KYCX25_1115) 资助

详细信息

作者简介:
马彪：南京邮电大学通信与信息工程学院博士研究生. 主要研究方向为通信与控制一体化设计, 鲁棒波束成形. E-mail: mabiao_njupt@163.com

姜正莽：南京邮电大学通信与信息工程学院硕士研究生. 主要研究方向为无线通信, 通信与控制一体化设计. E-mail: jzm1319976982@gmail.com

欧阳慧珉：南京工业大学电气工程与控制科学学院教授. 主要研究方向为鲁棒自适应控制理论及其应用, 飞轮储能技术. E-mail: ouyang1982@njtech.edu.cn

王子宁：南京邮电大学通信与信息工程学院博士研究生. 主要研究方向为智能信号处理, 无线通信. E-mail: 2021010201@njupt.edu.cn

林敏：南京邮电大学教授. 主要研究方向为无线通信系统, 智能信号处理, 天线新技术. 本文通信作者. E-mail: linmin@njupt.edu.cn

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出版历程
- 收稿日期: 2025-03-25
- 录用日期: 2025-08-19
- 网络出版日期: 2025-11-05

Joint Robust Beamforming and Device Scheduling Algorithm in Wireless Control Systems

1.
School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003
2.
School of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211816

Funds: Supported by National Natural Science Foundation of China (62471255), Key Laboratory of Intelligent Space TTC&O (Space Engineering University), Ministry of Education and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (KYCX25_1115)

More Information

Author Bio:
MA Biao　Ph.D. candidate at the School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications. His research interests include joint design of communication and control, and robust beamforming

JIANG Zheng-Mang　Master student at the School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications. His research interests include wireless communications and joint design of communication and control

OUYANG Hui-Min　Professor at the School of Electrical Engineering and Control Science, Nanjing Tech University. His research interests include robust adaptive control theory and its applications, and flywheel energy storage technology

WANG Zi-Ning　Ph.D. candidate at the School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications. His research interests include intelligent signal processing and wireless communications

LIN Min　Professor at Nanjing University of Posts and Telecommunications. His research interests include wireless communication systems, intelligent signal processing, and advanced antenna technologies. Corresponding author of this paper

摘要

摘要: 在无线资源受限的情况下, 采用多波束技术来实现多个环路的同时控制是无线控制系统领域的技术难题. 在仅已知非完美信道状态信息的条件下, 提出一种联合鲁棒波束成形与设备调度算法, 保证控制稳定性的同时降低系统总成本. 首先, 以系统控制成本和通信成本的加权和最小化为目标函数, 以满足控制稳定性和发射功率限制为约束条件, 建立一个多个环路同时控制场景下的优化问题. 其次, 通过二次李雅普诺夫函数将稳定性约束转换为传输成功概率约束. 由于该非凸问题难以求解, 进一步提出控制成本与通信成本联合优化的双目标方案, 并基于怀特指数方法提出控制成本最小化的设备调度算法, 同时采用伯恩斯坦不等式和半正定规划等数学工具, 设计满足控制稳定性的通信成本最小化鲁棒波束成形算法. 最后, 计算机仿真表明, 所提方案相比于典型传输方案能够降低10% 至 41%的总成本, 实现通信与控制成本之间的良好折中.
- 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
Abstract: Under the constraints of limited wireless resources, it is still a technical challenge for wireless control systems 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 optimization problem is formulated in the scene of simultaneous control of multiple loops, with the objective of minimizing 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 quadratic 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 proposed algorithm can reduce the total cost by 10% to 41%, achieving a good trade-off between communication and control costs.
- Wireless control system /
- lyapunov function /
- scheduling policy /
- imperfect channel state information /
- beamforming

HTML全文

图 1 共享无线信道的多环路无线控制系统

Fig. 1 Multi-loop wireless control system over shared wireless channels

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图 2 各环路李雅普诺夫函数变化及调度决策图

Fig. 2 Lyapunov function variation and scheduling decision diagram for each loop

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图 3 不同收敛速率要求下环路被调度总次数对比图

Fig. 3 Comparison of total scheduling counts of loops under different convergence rate requirements

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图 4 不同解码阈值下的总平均功率对比图

Fig. 4 Comparison of total average power under different decoding thresholds

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图 5 不同方案下总平均通信成本与控制成本对比图

Fig. 5 Comparison of total average communication cost and control cost under different schemes

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图 6 不同调度策略下的各成本对比直方图

Fig. 6 Histogram of cost comparison under different scheduling strategies

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图 7 所提方案与固定BF方案的性能对比图

Fig. 7 Performance comparison between the proposed scheme and the fixed-BF scheme

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