航空学报 > 2008, Vol. 29 Issue (5): 1302-1307

基于神经网络的MIMO非线性最小相位系统鲁棒自适应控制

张绍杰,胡寿松   

  1. 南京航空航天大学 自动化学院
  • 收稿日期:2007-08-29 修回日期:2008-04-03 出版日期:2008-09-25 发布日期:2008-09-25
  • 通讯作者: 张绍杰

Neural Network Based Robust Adaptive Control for MIMO  Nonlinear Minimum Phase Systems

Zhang Shaojie,Hu Shousong   

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics
  • Received:2007-08-29 Revised:2008-04-03 Online:2008-09-25 Published:2008-09-25
  • Contact: Zhang Shaojie

摘要: 针对一类模型未知的具有不确定性和外部干扰的多输入多输出(MIMO)非线性最小相位系统提出了鲁棒自适应输出反馈跟踪控制方案。用高斯径向基函数(RBF)神经网络逼近对象未知非线性,用高增益观测器估计系统不可测量状态。所设计的鲁棒自适应控制器不仅能使闭环系统稳定,所有状态有界,而且跟踪误差一致最终有界,并保证最终边界足够小。仿真结果表明了所提出方法的有效性。

关键词: MIMO, 非线性最小相位系统, 鲁棒自适应控制, 输出反馈, RBF神经网络, 高增益观测器

Abstract: A robust adaptive tracking control scheme is presented for a class of multi-input multi-output (MIMO) nonlinearminimum phase systems with unknown mathematical models, uncertainties and external disturbances. Gaussian based radial basis function (RBF) neural networks are used to approximate the plant’s unknown nonlinearities, and a high-gain observer is used to estimate the unmeasured states of the system. The proposed robust adaptive controller can guarantee that: the closed-loop system is stable; all the states are bounded; the tracking errors are uniformly ultimately bounded; and the ultimate bound can be made arbitrarily small. Simulation results demonstrate the effectiveness of the proposed method.

Key words: MIMO, nonlinear minimum phase systems, robust adaptive control, output feedback, RBF neural network, high-gain observer

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