引用本文:贺向雷,佟绍成.动态不确定非线性系统直接自适应模糊backstepping控制[J].控制理论与应用,2009,26(10):1081~1086.[点击复制]
HE Xiang-lei,TONG Shao-cheng.Direct adaptive fuzzy backstepping control of nonlinear systems with dynamic uncertainties[J].Control Theory and Technology,2009,26(10):1081~1086.[点击复制]
动态不确定非线性系统直接自适应模糊backstepping控制
Direct adaptive fuzzy backstepping control of nonlinear systems with dynamic uncertainties
摘要点击 1817  全文点击 1061  投稿时间:2008-09-07  修订日期:2008-12-25
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DOI编号  10.7641/j.issn.1000-8152.2009.10.CCTA080942
  2009,26(10):1081-1086
中文关键词  非线性系统  动态不确定  自适应模糊控制  backstepping 设计  小增益定理
英文关键词  nonlinear system  dynamic uncertainties  adaptive fuzzy control  backstepping design  small-gain theorem
基金项目  国家自然科学基金资助项目(60674056): 辽宁省优秀人才基金资助项目(2005219001); 辽宁省教育厅优秀人才基金资助项目(2006R29); 辽宁省教育厅项目(2007T80).
作者单位E-mail
贺向雷 辽宁工业大学 数理系  
佟绍成* 辽宁工业大学数理科学系 jztsc@sohu.com 
中文摘要
      对一类单输入单输出动态不确定非线性系统, 提出一种直接自适应模糊backstepping和小增益相结合的控制方法. 设计中, 首先用模糊逻辑系统逼近虚拟控制器; 其次把自适应模糊控制和backstepping控制设计技术相结合, 给出了直接自适应模糊控制设计方法. 最后基于Lyapunov函数和小增益方法证明了整个闭环系统的稳定性. 仿真实例进一步验证了所提方法的有效性.
英文摘要
      A direct adaptive fuzzy backstepping control approach and a small-gain theorem are proposed for the singleinput/single-output(SISO) nonlinear system with dynamic uncertainties. In this design, fuzzy logic systems are first employed to approximate the virtual controllers, and then, a direct adaptive fuzzy control approach is developed by combining the adaptive fuzzy control with the backstepping control design technique. Finally, we prove the stability of the closedloop system by using Lyapunov function and the small-gain theorem. Simulation studies are included to illustrate the effectiveness of the proposed approach.