引用本文:刘国荣, 罗毅平, 万百五.基于模糊观测器的非线性MIMO系统H2/H∞模糊状态反馈控制[J].控制理论与应用,2005,22(1):12~16.[点击复制]
LIU Guo-rong, LUO Yi-ping, WAN Bai-wu.H-two/H-infinity fuzzy state feedback control based on fuzzy observer for nonlinear MIMO systems[J].Control Theory and Technology,2005,22(1):12~16.[点击复制]
基于模糊观测器的非线性MIMO系统H2/H∞模糊状态反馈控制
H-two/H-infinity fuzzy state feedback control based on fuzzy observer for nonlinear MIMO systems
摘要点击 1335  全文点击 1005  投稿时间：2002-12-03  修订日期：2004-05-09
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DOI编号  
  2005,22(1):12-16
中文关键词  非线性系统  H2/H∞控制  模糊控制  线性矩阵不等式(LMI)
英文关键词  nonlinear system  H-two/H-infinity control  fuzzy control  linear matrix inequality(LMI)
基金项目  湖南省自然科学基金资助项目(01JJY2062).
作者单位
刘国荣, 罗毅平, 万百五 西安交通大学 系统工程研究所,陕西 西安 710049
湖南工程学院,湖南 湘潭 411101 
中文摘要
      研究了非线性系统H2/H∞模糊状态反馈控制问题.采用局部线性化方法,用T-S模糊线性模型逼近非线性系统,用模糊观测器重构系统状态.在希望的H∞干扰抑制约束下,通过最小化H2控制性能指标,实现了模糊状态反馈次优控制.通过将优化问题转化成2个特征值问题(EVP),应用线性矩阵不等式(LMI)优化方法求解,使问题的求解大大简化.所设计的闭环系统在平衡点是局部二次型稳定的,系统抗扰性能和动态性能均较好.
英文摘要
      The problem of mixed H-two/H-infinity fuzzy state feedback control for nonlinear systems is studied.A nonlinear plant is approximated by a Takagi-Sugeno fuzzy linear model using local linearization method.The system states are estimated by a fuzzy linear observer.The fuzzy state feedback suboptimal controller is achieved by minimizing the H-two control performance with a desired H-infinity disturbance rejection constraint.The optimization problem is transformed into two eigenvalue problems(EVP'S)-One for observer and the other for controller.The EVP'S can be solved very efficiently using the linear matrix inequality(LMI) optimization techniques;so it can simplify the design.The closed-loop system designed by the proposed method is locally quadratically stable at equilibrium and its disturbance rejection and dynamic performance are satiefying as well.