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分布参数系统源控制系统设计

周笔锋 罗毅平 唐果宁

周笔锋, 罗毅平, 唐果宁. 分布参数系统源控制系统设计. 自动化学报, 2022, 48(12): 1−5 doi: 10.16383/j.aas.c190612
引用本文: 周笔锋, 罗毅平, 唐果宁. 分布参数系统源控制系统设计. 自动化学报, 2022, 48(12): 1−5 doi: 10.16383/j.aas.c190612
Zhou Bi-Feng, Luo Yi-Ping, Tang Guo-Ning. Distributed parameter systems of source control. Acta Automatica Sinica, 2022, 48(12): 1−5 doi: 10.16383/j.aas.c190612
Citation: Zhou Bi-Feng, Luo Yi-Ping, Tang Guo-Ning. Distributed parameter systems of source control. Acta Automatica Sinica, 2022, 48(12): 1−5 doi: 10.16383/j.aas.c190612

分布参数系统源控制系统设计

doi: 10.16383/j.aas.c190612
基金项目: 国家自然科学基金(11972156), 湖南省教育厅科学研究项目(19C0418)资助
详细信息
    作者简介:

    周笔锋:湖南科技大学博士研究生. 2015年获得湖南工程学院硕士学位. 主要研究方向为复杂网络系统, 分布参数系统, 永磁同步电机失磁故障诊断. E-mail: zhoubifeng99@163.com

    罗毅平:湖南工程学院教授. 2006年获得华南理工大学博士学位. 主要研究方向为复杂网络系统, 分布参数系统. 本文通信作者.E-mail: lyp8688@sohu.com

    唐果宁:湖南科技大学教授. 主要研究方向为永磁同步电机失磁故障诊断, 摩擦磨损及耐磨材料研究.E-mail: tangguoning99@163.com

Distributed Parameter Systems of Source Control

Funds: Supported by National Natural Science Foundation of China (11972156) and Science Research Projects of Hunan Province Education Department (19C0418)
More Information
    Author Bio:

    ZHOU Bi-Feng Ph. D. candidate at Hunan University of Science and Technology. He received his master degree in power engineering from Hunan Institute of Engineering in 2015. His current research interest covers: complex networks and distributed parameter systems

    LUO Yi-Ping Professor at Hunan Institute of Engineering. He received his Ph.D. degree from South China University of Technology. His research interest covers neural network, pattern recognition, complex network and distributed parameter systems. Corresponding author of this paper

    TANG Guo-Ning Professor at Hunan University of Science and Technology. His research interest covers fault diagnosis of demagnetization of PMSM, wear resistant materials

  • 摘要: 针对一类分布参数系统(Distributed parameter system, DPS), 提出了源控制方法. 将构成分布参数系统的空间分成若干分, 每份为一个节点, 在所有的节点中, 将能产生量变源头的节点定义为源节点, 跟随源节点变化的节点为跟随节点, 以此构建分布参数系统模型. 对于源节点, 根据经验函数结合反馈偏差调节设计控制器, 对跟随节点考虑源节点控制的逸散作用控制. 利用Lyapunov稳定性理论并结合线性矩阵不等式(linear matrix inequality, LMI)处理方法, 得出了分布式参数系统稳定源控制器存在的充分条件. 最后结合所给条件, 给出一个数值仿真说明其有效性.
  • 图  1  系统源节点$W_{L}(x,t)$状态图

    Fig.  1  The system state of source nodes $W_{L}(x,t)$

    图  2  系统跟随节点$W_{g}(x,t)$状态图

    Fig.  2  The system state of following nodes $W_{g}(x,t)$

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出版历程
  • 收稿日期:  2019-09-02
  • 录用日期:  2019-12-23
  • 网络出版日期:  2020-01-02

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