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状态依赖型切换系统的数据驱动方法建模

王涛 谭吉 刘东 杨叶江

王涛, 谭吉, 刘东, 杨叶江. 状态依赖型切换系统的数据驱动方法建模[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20210579
引用本文: 王涛, 谭吉, 刘东, 杨叶江. 状态依赖型切换系统的数据驱动方法建模[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20210579
WANG Tao, TAN Ji, LIU Dong, YANG Yejiang. Modeling of State-Dependent Switching System Based on Data-Driven[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20210579
Citation: WANG Tao, TAN Ji, LIU Dong, YANG Yejiang. Modeling of State-Dependent Switching System Based on Data-Driven[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20210579

状态依赖型切换系统的数据驱动方法建模

doi: 10.3969/j.issn.0258-2724.20210579
基金项目: 国家自然科学基金(51477146);四川省科技厅区域创新合作项目(21QYCX0096)
详细信息
    作者简介:

    王涛(1972—),男,教授,博士,博士生导师,研究方向为计算机控制技术,E-mail:wangtao618@126.com

  • 中图分类号: TP391

Modeling of State-Dependent Switching System Based on Data-Driven

  • 摘要:

    切换系统是由一系列连续或离散的子系统和切换机制组合而成的一类复杂系统,状态依赖型切换系统因其复杂性而尚未被深入研究. 因此,通过系统的输入输出轨迹来对状态依赖的切换系统进行数据驱动建模,利用数据挖掘技术寻找数据之间的有用信息,建立输入与输出之间更形象的表达形式;在此基础上提出一种结构框架,根据辨识轨迹的切换时刻将数据分段,借助神经网络建立子系统的模型以及切换规则,深度挖掘状态依赖切换系统的信息,得到切换系统中子系统及子系统间的信息. 实验结果表明:相比传统的机理建模,本文提出的数据驱动方法将建模的复杂度降低了17.3%.

     

  • 图 1  运行示例跟踪

    Figure 1.  Tracking of running example

    图 2  状态依赖切换过程

    Figure 2.  Process of state-dependent switching

    图 3  电压轨迹采样

    Figure 3.  Sampling of voltage trajectory

    图 4  流程框架概述

    Figure 4.  Overview of flowchart framework

    图 5  电压小波变换结果

    Figure 5.  Results of voltage wavelet transformation

    图 6  电压分段编号

    Figure 6.  Numbers of voltage segment

    图 7  最小二乘拟合切换规则

    Figure 7.  Switching rule of least squares fitting

    图 8  神经网络拟合切换规则

    Figure 8.  Switching rule of neural network fitting

    图 9  状态空间输出与所提出框架建模的输出对比

    Figure 9.  Comparison of state space output and proposed framework modeling output

    图 10  替代电路输出电流预测和测试对比

    Figure 10.  Comparison of predicted and test output currents of alternative circuit

    图 11  替代电路输出电压预测和测试对比

    Figure 11.  Comparison of predicted and test output voltages of alternative circuit

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出版历程
  • 收稿日期:  2021-07-16
  • 修回日期:  2021-11-03
  • 网络出版日期:  2024-04-16

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