引用本文:巩长忠, 刘全利, 王　伟.基于观测器的非线性不确定离散系统的鲁棒模糊控制[J].控制理论与应用,2005,22(1):96~100.[点击复制]
GONG Chang-zhong, WANG Wei, LIU Quan-li.Observer-based robust fuzzy control of nonlinear discrete systems with parametric uncertainties[J].Control Theory and Technology,2005,22(1):96~100.[点击复制]
基于观测器的非线性不确定离散系统的鲁棒模糊控制
Observer-based robust fuzzy control of nonlinear discrete systems with parametric uncertainties
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DOI编号  10.7641/j.issn.1000-8152.2005.1.019
  2005,22(1):96-100
中文关键词  离散非线性系统  模糊控制  模糊观测器  线性矩阵不等式  参数不确定性
英文关键词  discrete nonlinear system  fuzzy control  fuzzy observer  linear matrix inequality  parametric uncertainty
基金项目  
作者单位
巩长忠, 刘全利, 王　伟 渤海大学 数学系,辽宁 锦州 121000
大连理工大学 信息与控制研究中心,辽宁 大连 116024 
中文摘要
      研究了参数不确定及状态变量难以获取的非线性系统的鲁棒模糊控制问题.采用离散模糊T-S模型对离散非线性系统进行建模并建立了模糊观测器.用矩阵不等式的形式推导出了在Lyapunov意义下鲁棒镇定的充分条件.利用线性矩阵不等式(LMI)导出了模糊反馈增益和模糊观测器增益存在的充分条件.
英文摘要
      The robust fuzzy control problem is addressed for nonlinear systems in the presence of parametric uncertainties and the state variables unavailable for measurement.The Tagaki-Sugeno (T-S) discrete fuzzy model system with parametric uncertainties is adopted for modeling the nonlinear system and establishing fuzzy observer.Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of matrix inequalities.Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities (LMI).