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

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

张国山^,,
王岩浩

1.
天津大学电气与自动化工程学院天津 300072

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

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- 文章访问数: 1503
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- 被引次数: 0
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

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

ZHANG Guo-Shan^,,
WANG Yan-Hao

1.
School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072

Funds:

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

摘要

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.
- 仿射非线性系统 /
- 数据驱动控制 /
- 最小二乘支持向量机 /
- 滚动时间窗 /
- 机器学习
Abstract: A new method named online unbiased least square support vector machines (LS-SVMs) is proposed by using online sampling data to find the approximate solution of a class of partially unknown affine nonlinear systems within the infinite interval. Firstly, we eliminate the bias of LS-SVMs by introducing a parameter to avoid redundant computation, meanwhile, we give the data points which are closer to the current moment more weights by introducing a weight function to the optimized target, thus the computational accuracy is improved. Secondly, the method of sliding time window is employed to achieve the approximate solution for affine nonlinear systems within the infinite interval and meet the requirement of real-time solving. Finally, simulations of numerical examples demonstrate the efficiency and superiority of the proposed method.
- Affine nonlinear system /
- data-driven control /
- least square support vector machines (LS-SVM) /
- sliding time window /
- machine learning

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参考文献(21)

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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

doi: 10.16383/j.aas.2015.c150272

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

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

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留言板

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

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

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出版历程

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

计量

出版历程

目录

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