[1]马宝萍,赵谨.广义T-S模糊系统的鲁棒非脆弱控制[J].南京师范大学学报(工程技术版),2006,06(03):010-13.
　MA Baoping,ZHAO Jin.Robust and Non-Fragile Control for Descriptor T-S Fuzzy System[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(03):010-13.
点击复制

广义T-S模糊系统的鲁棒非脆弱控制
分享到：

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
06卷
期数:
2006年03期
页码:
010-13
栏目:
出版日期:
2006-09-30

文章信息/Info

Title:
Robust and Non-Fragile Control for Descriptor T-S Fuzzy System
作者:
马宝萍;赵谨;
南京师范大学电气与自动化工程学院, 江苏南京210042
Author(s):
MA Baoping; ZHAO Jin
School of Electrical and Automatic Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
模糊广义系统;  非脆弱控制;  线性矩阵不等式
Keywords:
fuzzy descr iptor system s;  non- frag ile con tro ; l linearm atrix inequa lities ( LM I)
分类号:
TP273.4
摘要:
在控制器的实现过程中,由于A/D、D/A转换,有限字长限制以及舍入误差等因素的影响,使得控制器自身具有不确定性.非脆弱控制的目的就是使控制器能够克服这种不确定性,保证系统的稳定性,并满足性能指标要求.研究了广义T-S模糊系统的鲁棒非脆弱控制,考虑控制器增益为加法式摄动,基于李亚普诺夫稳定性定理和线性矩阵不等式(LM I)方法,给出了非脆弱鲁棒控制器的存在条件与求解方法.仿真实例表明了该方法的有效性和可行性.
Abstract:
In ac tua l app lications, im precision in contro ller im plem entation, caused by A /D, D /A transform a tion, f-i n ite word leng th and erro rs, is unavo idab le. Recently, non- frag ile controller, w hich is robust to contro lle r ga in va riations, has a ttracted mo re and mo re attention. This paper is concerned w ith the design prob lem o f non- frag ile contro-l ler fo r descriptorT-S fuzzy sy stem, using L inearM a trix Inequalities ( LM I) . The con tro ller uncerta inties are assumed to be a c lass o f additive. Based on theLyapunovm ethod, the state feedback contro l design for robust stability is g iven in te rm s o f so lutions to a LM I. A num er ica l exam ple is presented to show the e ffectiv eness and feasib ility o f th ism ethod.

参考文献/References:

[ 1] TAMOGICH IT, TANAKA K, YAMAFU JI K, et a.l Fuzzy descripto r system s: stab ility ana lys is and design v ia LM Is[ C ] / / Proceedings o f Am er ican Contro l Conference. San D iego: Am er ican Automa tic Contro l Counci,l 1999: 1827-1831.
[ 2] TAN IGUCH IT, TANAKA K, YAMAFUJIK, et a .l Fuzzy descr iptor system s and nonlinearmodel fo llow ing contro l[ J] . IEEE T ransactions on Fuzzy System s, 2000, 8( 4): 442-452.
[ 3] KEEL L H, BHATTACHARYYA S P, ROBUST. Frag ile, or Optim a l[ J]. IEEE Trans on Automa tic Control, 1997, 42( 8): 1098-1105.
[ 4] HYUN, SANG C KIM K TAE, PARK H BAE. Robust and non- frag ileH] contro ller design for affine param eter uncerta in system s[ C] / / Pro ceedings of the 39th IEEE Conference on Dec ision and Contro .l Sydney, NSW: Austra lia IEEE, 2000: 3224-3229.
[ 5] JADBABAIE A, CHAOUKI T A, ABDALAH, e t a .l Robust, non-frag ile and optim a l contro ller design v ia linear m atr ix inequa lities[ C] / / Proceed ing s of the Am erican Contro l Con fe rence. Ph ilade lphia, Pennsy lvania: Am erican Autom atic Contro l Counci,l 1998: 2842-2846.
[ 6] DOMEN ICO F, CHAOUKIT A. Robust non- frag ile LQ contro llers: the static sta te feedback case[ C] / / Proceed ings of the Am erican Contro l Conference. Philadelphia, Pennsy lvan ia: Am er ican Autom a tic Contro l Counci,l 1998: 1109-1113.
[ 7] 舒伟仁, 张庆灵. 不确定时滞广义系统的鲁棒非脆弱H ] 控制[ J] . 控制与决策, 2005, 20( 6): 629-633.
SHU W e iren, ZHANG Q ing ling. Robust and non-frag ileH ] contro l for uncerta in singu lar sy stem sw ith tim e-delay in state[ J]. Con tro l and Decision, 2005, 20( 6): 629-633. ( in Chinese)
[ 8] 朱宝彦, 张庆灵. 参数不确定的广义T- S模糊系统的最优保成本控制. [ J] 系统工程理论与实践, 2004, 25( 12): 49- 57.
ZHU Baoyan, ZHANG Q ing ling. Optim a l guranteed cost contro l fo r T- S fuzzy descriptor sy stem s w ith uncertain pa rame ters [ J] . Sy stem s Eng inee ring-Theory and Practice, 2004, 25( 12) : 49-57. ( in Ch inese)
[ 9] KHARGONEKAR P, PETERSEN IR, ZHOU K. Robust stab ilization of uncerta in system s andH ] optim al contro l[ J]. IEEE T rans on Automa tic Contro,l 1990, 35( 3) : 351-361.

相似文献/References:

[1]马宝萍,许洁,赵瑾.具有多时滞的不确定广义T-S模糊网络控制系统的时滞相关稳定性分析[J].南京师范大学学报(工程技术版),2010,10(01):012.
　Ma Baoping,Xu Jie,Zhao Jin.Delay-Dependent Robust Stability for Uncertain T-S Fuzzy Descriptor Networked Control System With Multiple Time Delays[J].Journal of Nanjing Normal University(Engineering and Technology),2010,10(03):012.

备注/Memo

备注/Memo:
基金项目: 江苏省教育厅自然科学资助项目( 2004113TSJB142 ).
作者简介: 马宝萍( 1973-) , 女, 博士研究生, 讲师, 主要从事广义系统、模糊控制、智能控制等方面的教学与研究.E-m ai:l m abaoping@ n jnu. edu. cn
更新日期/Last Update: 2013-04-29