模糊系统H_∞控制器设计的LMI方法  

LMI-based H_∞-control design for T-S fuzzy systems

作　　者：刘晓东[1] 张庆灵[2] 

机构地区：[1]大连海事大学数理系,辽宁大连116024 [2]东北大学理学院,辽宁沈阳110004

出　　处：《控制理论与应用》2004年第1期120-124,共5页Control Theory & Applications

基　　金：国家自然科学基金项目(60174014);大连海事大学自选项目.

摘　　要：应用LMI(线性矩阵不等式)方法,研究了T＿S模糊系统H∞控制器的设计问题.首先给出了T＿S模糊系统基于状态反馈H∞控制存在的两个新的充分条件.新条件不但简洁而且把模糊子系统间的相互作用表示为由子系统的系数矩阵构成的矩阵不等式.然后新条件被转化为可直接应用Matlab求解的线性矩阵不等式.最后应用线性矩阵不等式方法和Matlab,给出了T＿S模糊系统H∞控制器的设计方法.Using the LMI (linear matrix inequality) methods, the problem of H_∞ control design for T-S fuzzy systems was studied. Firstly two new sufficient conditions in terms of matrix inequalities, which guaranteed the existence of the state feedback H_∞ control for the T-S fuzzy systems, were proposed. The conditions were simple and also had the interactions among the fuzzy subsystems as matrix inequalities composed by the coefficient matrices of the subsystems. Secondly the new conditions were converted to the LMIs which could be solved by MATLAB. Finally applying the LMIs and Matlab, the controller designing method for the H_∞ controller of the T-S fuzzy systems was given.

关 键 词：非线性控制 线性矩阵不等式 LMI 模糊系统 H∞控制器 设计 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]