T-S模糊系统的部分状态反馈H_∞控制  

H_∞ Controller design on partial state information feedback of T-S fuzzy system

作　　者：周林娜[1] 张庆灵[1] 朴凤贤[2] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004 [2]沈阳航空工业学院,辽宁沈阳110034

出　　处：《沈阳航空工业学院学报》2006年第4期78-80,共3页Journal of Shenyang Institute of Aeronautical Engineering

摘　　要：基于部分状态信息的控制器是一类特殊的静态输出反馈控制器,一般难以利用线性矩阵不等式工具求解.本文研究T-S模糊系统的部分状态反馈镇定及部分状态反馈H∞控制问题.首先,通过矩阵变换,将T-S模糊系统的部分状态反馈镇定问题转换成求解一组线性矩阵不等式(LM Is);然后,以此为基础得到基于LM I的部分状态反馈H∞控制器设计方法;最后,通数值例子验证所给方法的有效性.Controller based on partial state information belong to a class of static output feedback controller,and is difficult to obtain by using LMI technique.This paper investigates the problems of stabilization and control for T-S fuzzy systems via partial state information.Firstly,by matrix transformations,the stabilization of T-S fuzzy systems by partial state information is concluded as the feasibility problem of LMI based given conditions.Then,using the above results,a LMI based on controller design method is given.Finally,a numerical example illustrating the method is given in the paper and to testify the obtained results.

关 键 词：T-S模糊系统 部分状态反馈 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]