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基于数据的一类部分未知仿射非线性系统近似解

张国山 王岩浩

张国山, 王岩浩. 基于数据的一类部分未知仿射非线性系统近似解. 自动化学报, 2015, 41(10): 1745-1753. doi: 10.16383/j.aas.2015.c150272
引用本文: 张国山, 王岩浩. 基于数据的一类部分未知仿射非线性系统近似解. 自动化学报, 2015, 41(10): 1745-1753. doi: 10.16383/j.aas.2015.c150272
ZHANG Guo-Shan, WANG Yan-Hao. Data-based Approximate Solution for a Class of Affine Nonlinear Systems with Partially Unknown Functions. ACTA AUTOMATICA SINICA, 2015, 41(10): 1745-1753. doi: 10.16383/j.aas.2015.c150272
Citation: ZHANG Guo-Shan, WANG Yan-Hao. Data-based Approximate Solution for a Class of Affine Nonlinear Systems with Partially Unknown Functions. ACTA AUTOMATICA SINICA, 2015, 41(10): 1745-1753. doi: 10.16383/j.aas.2015.c150272

基于数据的一类部分未知仿射非线性系统近似解

doi: 10.16383/j.aas.2015.c150272
基金项目: 

国家自然科学基金(61074088, 61473202)资助

详细信息
    作者简介:

    王岩浩 天津大学电气与自动化工程学 院硕士研究生. 主要研究方向为机器学 习, 数据驱动控制. E-mail: hhsnh2013@tju.edu.cn

    通讯作者:

    张国山 天津大学电气与自动化工程学 院教授. 主要研究方向为线性与非线性 系统控制, 智能控制与混沌控制及应用. 本文通信作者. E-mail: zhanggs@tju.edu.cn

Data-based Approximate Solution for a Class of Affine Nonlinear Systems with Partially Unknown Functions

Funds: 

Supported by National Natural Science Foundation of China (61074088, 61473202)

  • 摘要: 针对一类部分未知仿射非线性系统无穷区间求解问题,利用在线采样数据,提出了 在线无偏最小二乘支持向量机(Least square support vector machines, LS-SVM)的方法. 首先,通过引入一个参数消除了LS-SVM的偏置项,避免了冗余计算,同时在优化目标中引入权值 函数,对靠近当前时刻的数据样本点赋予更高权重,提高了计算精度; 其次,采用滚动时间窗的方法,实现非线性系统无穷区间求解,并满足求解实时性要求;最后,通过 数值算例仿真验证了本文方法的有效性和优越性.
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出版历程
  • 收稿日期:  2015-05-11
  • 修回日期:  2015-07-27
  • 刊出日期:  2015-10-20

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