多入多出非仿射系统的径向基网络逆控制方法

李朝旭, 刘忠, 高志华

系统工程理论与实践 ›› 2013, Vol. 33 ›› Issue (6) : 1601-1607.

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PDF(676 KB)
系统工程理论与实践 ›› 2013, Vol. 33 ›› Issue (6) : 1601-1607. DOI: 10.12011/1000-6788(2013)6-1601
论文

多入多出非仿射系统的径向基网络逆控制方法

    李朝旭1,2, 刘忠1, 高志华1
作者信息 +

RBF network inverse control method for MIMO nonaffine system

    LI Chao-xu1,2, LIU Zhong1, GAO Zhi-hua1
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文章历史 +

摘要

针对多入多出非仿射非线性系统, 提出了一种径向基网络补偿逆模型误差的自适应控制方法. 将难以求逆的非仿射项分解为可逆部分和不可逆部分, 可逆部分作为理想逆来近似系统的直接逆, 逆模型误差用径向基网络的自适应控制信号补偿, 网络权值利用不可逆部分非仿射信息更新, 应用均值理论和Lyapunov函数证明了自适应控制律的稳定性. 仿真结果验证了该方法的有效性.

Abstract

A radius basis function (RBF) network inverse control method is considered for a class of multi-input multi-output (MIMO) nonaffine nonlinear system. In this method, the nonaffine term which is hard to invert is decomposed into invertible part and un-invertible part, the invertible part is used to approximate the inversion of system and the invert error is approximately canceled by the adaptive signal, the un-invertible part is used to update the RBF network's weights. Using Lyapunov's direct method, it is shown that all the signals of the closed-loop system are uniformly ultimately bounded. Simulation results are provided to show the good tracking performance and effectiveness of the proposed method.

关键词

非仿射系统 / 多入多出 / 径向基网络 / 自适应控制

Key words

nonaffine system / MIMO / RBF neural network / adaptive control

引用本文

导出引用
李朝旭 , 刘忠 , 高志华. 多入多出非仿射系统的径向基网络逆控制方法. 系统工程理论与实践, 2013, 33(6): 1601-1607 https://doi.org/10.12011/1000-6788(2013)6-1601
LI Chao-xu , LIU Zhong , GAO Zhi-hua. RBF network inverse control method for MIMO nonaffine system. Systems Engineering - Theory & Practice, 2013, 33(6): 1601-1607 https://doi.org/10.12011/1000-6788(2013)6-1601
中图分类号: TP273+.2   

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基金

国家自然科学基金(60904038)

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