具有访问约束和数据丢包的网络化系统H∞鲁棒控制

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (5): 86-93.

• 自动化技术与计算机技术 • 上一篇下一篇

具有访问约束和数据丢包的网络化系统H_∞鲁棒控制

祝超群^*1,2,3, 姚兴启¹

1.兰州理工大学电气工程与信息工程学院, 甘肃兰州 730050;
2.兰州理工大学甘肃省工业过程先进控制重点实验室, 甘肃兰州 730050;
3.兰州理工大学电气与控制工程国家级实验教学示范中心, 甘肃兰州 730050

收稿日期:2022-04-27 出版日期:2024-10-28 发布日期:2024-10-31
通讯作者: 祝超群(1977-),男,新疆塔城人,博士,副教授.Email:chaoqunzhu@yeah.net
基金资助:
国家自然科学基金(61863026,61563031),甘肃省科技重大专项(21ZD4GA028)

H-infinity robust control for networked systems with access constraints and packet dropout

ZHU Chao-qun^1,2,3, YAO Xing-qi¹

1. College of Electrical and Information Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China;
2. Key Laboratory of Gansu Advanced Control for Industrial Processes, Lanzhou Univ. of Tech., Lanzhou 730050, China;
3. National Demonstration Center for Experimental Electrical and Control Engineering Education, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2022-04-27 Online:2024-10-28 Published:2024-10-31

摘要/Abstract

摘要： 针对同时存在访问约束和数据丢包的网络化控制系统,研究了H_∞鲁棒控制方法的设计问题.首先,采用Bernoulli随机过程来描述系统的数据丢包过程,并根据介质访问约束的随机访问机制建立了离散时间马尔可夫跳变系统模型;其次,通过Lyapunov稳定性理论和LMI技术导出闭环系统随机稳定的充分条件,并设计了相应的H_∞鲁棒控制器,使得闭环系统随机稳定并具有给定的H_∞性能;最后,通过仿真算例验证了所提控制方案的正确性和有效性.

关键词: 网络化控制系统, 介质访问约束, 数据丢包, H_∞鲁棒控制

Abstract: In this paper, the design problem of H-infinity robust control is investigated for networked systems with access constraints and packet dropout. Firstly, the Bernoulli random process is utilized to describe the packet loss process of the networked system, and a discrete-time Markov jump system model is established according to the random-access mechanism of medium access constraints. Secondly, sufficient conditions for stochastic stability of the closed-loop system are derived by using Lyapunov stability theory and LMI technology. Correspondingly, H-infinity robust controller is designed to render the closed-loop system stochastic stability with the given H-infinity performance. Finally, an example is given to verify the correctness and effectiveness of the proposed control method.

Key words: networked control system, medium access constraint, packet dropout, H-infinity robust control

中图分类号:

TP273

祝超群, 姚兴启. 具有访问约束和数据丢包的网络化系统H_∞鲁棒控制[J]. 兰州理工大学学报, 2024, 50(5): 86-93.

ZHU Chao-qun, YAO Xing-qi. H-infinity robust control for networked systems with access constraints and packet dropout[J]. Journal of Lanzhou University of Technology, 2024, 50(5): 86-93.

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具有访问约束和数据丢包的网络化系统H_∞鲁棒控制

H-infinity robust control for networked systems with access constraints and packet dropout

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[1]	祝超群,张磐. 具有访问约束和随机时延的网络化系统动态输出反馈控制[J]. 兰州理工大学学报, 2021, 47(6): 84-93.
[2]	祝超群, 李留洋, 金辉. 具有通信约束的网络化系统动态输出反馈控制[J]. 兰州理工大学学报, 2021, 47(1): 83-90.