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基于T-S模糊模型的新型非线性系统控制器设计
引用本文:李丽芳,董秀娟,王红,张友.基于T-S模糊模型的新型非线性系统控制器设计[J].东北师大学报(自然科学版),2011,43(3):54-59.
作者姓名:李丽芳  董秀娟  王红  张友
作者单位:1. 吉林警察学院信息工程系,吉林长春,130117
2. 东北大学信息科学与工程学院,辽宁沈阳,110006
3. 齐齐哈尔大学数学系,黑龙江齐齐哈尔,161006
4. 东北师范大学计算机科学与信息学院,吉林长春,130117
基金项目:国家自然科学基金资助项目(10971021)
摘    要:针对非线性系统的镇定控制问题,设计了一种新型的基于T-S模糊模型的非-并联分布补偿(PDC)控制器.在控制器设计的过程中,采用了一种新颖的模糊李亚普诺夫函数和一种松弛变量技术.这些措施的应用可以为控制器的设计引入更多的自由度,因而可以获得比以往结果保守性更小的镇定条件.由于控制条件是以线性矩阵不等式形式给出的,因此可以...

关 键 词:非-PDC控制律  T-S模糊模型  松弛变量技术  线性矩阵不等式

Novel control synthesis of nonlinear systems based on the T-S fuzzy model
LI Li-fang,DONG Xiu-juan,WANG Hong,ZHANG You.Novel control synthesis of nonlinear systems based on the T-S fuzzy model[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(3):54-59.
Authors:LI Li-fang  DONG Xiu-juan  WANG Hong  ZHANG You
Institution:LI Li-fang1,DONG Xiu-juan2,WANG Hong3,ZHANG You4(1.Department of Information Engineering,Jilin Police College,Changchun 130117,China,2.School of Information and Engineering,Northeast University,Shenyang 110006,3.Department of Mathematics,Qiqihar University,Qiqihar 161006,4.College of Computer Science and Information Technology,Northeast Normal University,China)
Abstract:A new kind of non-PDC control scheme has been proposed for dealing with the problem of stabilizing nonlinear systems based on the Takagi-Sugeno fuzzy model.Both a novel fuzzy Lyapunov function and a slack variable technique have been applied in the process of control synthesis.Because more freedom could be introduced in virtue of the above measures,the obtained stabilization condition is less conservative than before.Indeed,all the results proposed in this paper are in terms of linear matrix inequality whic...
Keywords:Non-PDC control scheme  T-S fuzzy model  slack variable technique  linear matrix inequality  
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