引用本文:刘 亚,胡寿松.基于模糊模型的时滞不确定系统的模糊H∞鲁棒反馈控制[J].控制理论与应用,2003,20(4):497~502.[点击复制]
LIU Ya,HU Shou-song.Fuzzy H-infinity, robust feedback control for uncertain nonlinear system with time-delay based on fuzzy model[J].Control Theory and Technology,2003,20(4):497~502.[点击复制]
基于模糊模型的时滞不确定系统的模糊H∞鲁棒反馈控制
Fuzzy H-infinity, robust feedback control for uncertain nonlinear system with time-delay based on fuzzy model
摘要点击 1676  全文点击 1403  投稿时间：2001-12-25  修订日期：2002-05-30
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DOI编号  10.7641/j.issn.1000-8152.2003.4.003
  2003,20(4):497-502
中文关键词  不确定性  时滞  T-S模糊模型  线性矩阵不等式(LMI)  鲁棒H∞ 控制
英文关键词  uncertainty  time-delay  T-S fuzzy mcxlel  linear matrix inequality (LMI)  robust H-infinity, control
基金项目  国家自然科学基金(60234010); 高校博士点基金(2000028704)
作者单位E-mail
刘 亚 南京航空航天大学 自动化工程学院, 江苏 南京 210016 liuyaly@263.net 
胡寿松 南京航空航天大学 自动化工程学院, 江苏 南京 210016  
中文摘要
      讨论了一类具有状态和控制时滞的不确定非线性系统的模糊H∞ 状态反馈控制问题. 采用具有时滞的不确定Takagi-Sugeno(T-S)模糊模型对非线性系统进行建模, 提出了一套基于LMI的模糊鲁棒控制器的系统设计方法, 给出了模糊H∞状态反馈控制器存在的充分条件, 以保证闭环模糊系统渐近稳定并满足从干扰输入到控制输出的H∞范数界约束. 示例仿真表明了该方法的有效性.
英文摘要
      The problem of the fuzzy H-infinity state feedback control for a class of uncertain nonlinear systems with input and state time delay was addressed. The uncertain Takagi-Sugeno (T-S) fuzzy model with time delay was adopted for fuzzy modeling of nonlinear system. The systematic design procedures based on LMI for the fuzzy robust controller design were given and some sufficient conditions were derived for the existence of fuzzy H-infinity state feedback controllers such that the closed-loop system was asymptotically stable and the effect of the disturbance input on the controlled output was reduced to a prescribed level. Simulation results show the effectiveness of the proposed method.