引用本文:王永超,张胜修,曹立佳,扈晓翔.输入受限的非线性系统自适应模糊backstepping控制[J].控制理论与应用,2015,32(12):1669~1675.[点击复制]
WANG Yong-chao,ZHANG Sheng-xiu,CAO Li-jia,HU Xiao-xiang.Adaptive fuzzy backstepping control for nonlinear system with input saturation[J].Control Theory and Technology,2015,32(12):1669~1675.[点击复制]
输入受限的非线性系统自适应模糊backstepping控制
Adaptive fuzzy backstepping control for nonlinear system with input saturation
摘要点击 3632  全文点击 2085  投稿时间:2014-12-25  修订日期:2015-07-23
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DOI编号  10.7641/CTA.2015.41193
  2015,32(12):1669-1675
中文关键词  输入受限  非线性系统  自适应模糊控制  backstepping  高超声速飞行器
英文关键词  input saturation  nonlinear system  adaptive fuzzy control  backstepping  hypersonic vehicle
基金项目  国家自然科学基金项目(61304001, 61304239)资助
作者单位E-mail
王永超* 第二炮兵工程大学 wyc031566@163.com 
张胜修 第二炮兵工程大学  
曹立佳 第二炮兵工程大学  
扈晓翔 第二炮兵工程大学  
中文摘要
      针对一类输入受限的非线性系统, 提出了一种自适应模糊backsteppig控制器的设计方法. 在控制器的设计 过程当中, 采用模糊系统对不确定非线性函数在线逼近; 利用双曲正切函数和Nussbaum函数对系统输入饱和函数 进行处理; 将动态面法与backstepping法相结合解决“计算膨胀”的问题. 通过Lyapunov理论分析证明了所设计的控 制器能够使闭环系统所有信号半全局一致有界(SGUUB). 最后应用于高超声速飞行器的攻角跟踪控制中, 仿真结 果表明该方法的有效性.
英文摘要
      We propose a method for designing the adaptive fuzzy backstepping controller for a nonlinear system with input saturation. In this method, we use the fuzzy logic system to identify the uncertain nonlinear functions online, and employ the hyperbolic tangent function and Nussbaum function to handle the input saturation. By combining the backstepping recursive design with dynamic surface control (DSC) technique, we solve the problem of “computation explosion”. By using Lyapunov theory, we prove that this controller ensures all signals in the closed-loop system to be semi-globally uniformly ultimately bounded (SGUUB) in probability. This method has been applied to the design of the attack angle of a hypersonic vehicle. Simulation results are given to show the effectiveness of the proposed method.