引用本文:苗志宏, 李洪兴.鲁棒极点配置约束下的模糊控制系统设计[J].控制理论与应用,2004,21(5):729~734.[点击复制]
MIAO Zhi-hong, LI Hong-xing.Design of fuzzy control system with robust pole placement constraints[J].Control Theory and Technology,2004,21(5):729~734.[点击复制]
鲁棒极点配置约束下的模糊控制系统设计
Design of fuzzy control system with robust pole placement constraints
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DOI编号  10.7641/j.issn.1000-8152.2004.5.014
  2004,21(5):729-734
中文关键词  模糊控制器  模糊状态观测器  鲁棒极点配置  线性矩阵不等式
英文关键词  fuzzy controller  fuzzy state observer  robust pole llacement  linear matrix inequalities
基金项目  国家自然科学基金资助项目(60174013); 教育部博士点基金资助项目(20020027013); 教育部科学技术重点项目(03184); 973国家重大基础研究计划基金资助项目(2002CB312200).
作者单位
苗志宏, 李洪兴 中国人民武装警察部队学院基础部,河北 廊坊 065000
北京师范大学 数学系,北京 100875 
中文摘要
      针对一类利用T-S模糊模型近似描述的不确定非线性系统,给出了一种具有鲁棒极点配置功能的模糊控制器和模糊状态观测器的设计方法.首先,利用并行分配补偿(PDC)设计思想和基于线性矩阵不等式(LMI)的鲁棒极点配置理论,得到了使整个闭环系统全局渐近稳定并满足希望的动态性能的充分条件.然后将这些条件转化为标准的LMI问题.最后将该设计方法应用于倒立摆的平衡控制中,验证了本方法的有效性.
英文摘要
      A method of designing fuzzy controllers and fuzzy state observers with robust pole placement constraints for a class of uncertain nonlinear systems approximatively expressed by Takagi-Sugeno(T-S) fuzzy dynamic model was proposed.Firstly,based on the concept of the prallel distributed compensation(PDC) and the theory of robust pole placement,a sufficient condition which guarantees global asymptotic stability of the whole system and satisfies desired performance was obtained.Then,the condition was converted to a standard linear matrix inequalities(LMI) problem in the design procedures.Finally,the simulation of an inverted pendulum verified the effectiveness of the design method.