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] |
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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 3877 全文点击 2183 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 |
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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. |