基于模糊观测器的非线性MIMO系统H_2/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

作　　者：刘国荣[1] 罗毅平[2] 万百五[1] 

机构地区：[1]西安交通大学系统工程研究所,陕西西安710049 [2]湖南工程学院,湖南湘潭411101

出　　处：《控制理论与应用》2005年第1期12-16,共5页Control Theory & Applications

基　　金：湖南省自然科学基金资助项目(01JJY2062).

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.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.

关 键 词：非线性系统 H2/H∞控制 模糊控制 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]