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多入多出非仿射系统的径向基网络逆控制方法
引用本文: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[J]. 系统工程理论与实践, 2013, 33(6): 1601-1607. DOI: 10.12011/1000-6788(2013)6-1601
作者姓名:李朝旭  刘忠  高志华
作者单位:1. 海军工程大学 电子工程学院, 武汉 430033;2. 空军工程大学 工程学院, 西安 710038
基金项目:国家自然科学基金(60904038)
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.

关 键 词:非仿射系统  多入多出  径向基网络  自适应控制  
收稿时间:2012-02-21

RBF network inverse control method for MIMO nonaffine system
LI Chao-xu , LIU Zhong , GAO Zhi-hua. RBF network inverse control method for MIMO nonaffine system[J]. Systems Engineering —Theory & Practice, 2013, 33(6): 1601-1607. DOI: 10.12011/1000-6788(2013)6-1601
Authors:LI Chao-xu    LIU Zhong    GAO Zhi-hua
Affiliation:1. Electronics Engineering College, Naval University of Engineering, Wuhan 430033, China;2. Engineering College, Air Force Engineering University, Xi'an 710038, China
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.
Keywords:nonaffine system  MIMO  RBF neural network  adaptive control
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