引用本文:耿宝亮,胡云安.控制方向未知的不确定系统预设性能自适应神经网络反演控制[J].控制理论与应用,2014,31(3):397~403.[点击复制]
GENG Bao-liang,HU Yun-an.Prescribed performance adaptive neural backstepping control for nonlinear system with uncertainties and unknown control directions[J].Control Theory and Technology,2014,31(3):397~403.[点击复制]
控制方向未知的不确定系统预设性能自适应神经网络反演控制
Prescribed performance adaptive neural backstepping control for nonlinear system with uncertainties and unknown control directions
摘要点击 3625  全文点击 3042  投稿时间:2013-05-05  修订日期:2013-10-07
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DOI编号  10.7641/CTA.2014.30436
  2014,31(3):397-403
中文关键词  预设性能  神经网络  Nussbaum函数  反演
英文关键词  prescribed performance  neural networks  Nussbaum function  backstepping
基金项目  国家自然科学基金资助项目(61174031).
作者单位E-mail
耿宝亮* 海军航空工程学院 gbl404173223@163.com 
胡云安 海军航空工程学院 hya507@sina.com 
中文摘要
      对一类控制方向未知的不确定严格反馈非线性系统的预设性能自适应神经网络反演控制问题进行了研究. 系统中含有时变非匹配不确定项且控制方向未知. 首先, 提出了一种新的误差转化方法, 放宽了对初始误差已知的 限制; 随后, 利用径向基函数(radial basis function, RBF)神经网络及跟踪微分器分别实现了对未知函数和虚拟控制 量导数的逼近, 并综合运用Nussbaum函数和反演控制技术设计了控制器. 所设计的控制器能保证系统内所有信号 有界且输出误差满足预设的瞬态和稳态性能要求. 最后的仿真研究验证了控制器设计方法的有效性.
英文摘要
      We investigate prescribed performance adaptive neural backstepping control for a class of strict-feedback nonlinear systems with time-varying uncertainties and unknown control directions. Firstly, a novel error transformation is proposed to eliminate the limitation that initial error must be known. Subsequently, radial basis function (RBF) neural networks and track differentiators are proposed to approximate unknown functions and derivatives of virtual controls respectively. At the same time, Nussbaum function and backstepping technique are combined to design the controller. The controller guarantees that all state variables are bounded and the prescribed transient and steady state error bounds are satisfied. Finally, the effectiveness of proposed scheme is validated by simulation research.