[1]WU Zhu,LIU Guo-dong.Robust and nonfragile H∞ control for linear discretetimesystems with timedelay and uncertainties[J].CAAI Transactions on Intelligent Systems,2008,3(1):66-70.
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Robust and nonfragile H∞ control for linear discretetimesystems with timedelay and uncertainties

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 3 Number of periods: 2008 1 Page number: 66-70 Column: 学术论文—智能系统 Public date: 2008-02-25
Title:
Robust and nonfragile H∞ control for linear discretetimesystems with timedelay and uncertainties
Author(s):
WU Zhu;  LIU Guo-dong
College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
Keywords:
uncertain system;  timedelay;  nonfragile;  robust H∞ control;  linear matrix inequalities
CLC:
TP13
DOI:
-
Abstract:
This paper deals with the problem of robust and nonfragile H∞ control via s tate feedback for linear discretetime systems with timedelay and normbound ed parametric uncertainties by using a method of linear matrix inequality (LMI). Both the gain perturbations of the controller and the uncertain terms of the sy stem are timevarying and normbounded with linear fractional form. Moreover, the gain perturbations of the controller are considered to be either additive or multiplicative. Sufficient conditions for the existence of a robust and nonfr agile controller are given in terms of LMI, so the resulting closedloop system is robustly stable and attains a certain H∞ attenuation level. A numerical e xample is provided to demonstrate the effectiveness of the method.
References:
［1］ YU L, CHU J, SU H Y. Robust memoryless H∞ controller design for line ar timedelay systems with norm bounded timevarying uncertainty［J］. Autom atica, 1996, 32(12): 17591762.
［2］De SOUZA C E, LI X. Delaydependent robust H∞ control of uncertain li near statedelayed systems［J］. Automatica, 1999,35(9):13131321.
［3］KIM J H, PARK H B. H∞ state feedback control for generalized continuous /discrete timedelay system［J］. Automatica,1999,35(8):14431451.
［4］KEEL L H,BHATTACHARYYA S P. Robust,fragile or optimal［J］. IEEE Trans Aut omatica Control,1997,42(8): 10981105.
［5］YANG G H, WANG J L. Nonfragile H∞ control for linear systems with mul tiplicative controller gain variations［J］. Automatica,2001,37(5):727737.
［6］王 武,杨富文.具有控制器增益变化的不确定时滞系统的鲁棒H∞控制［J］ .自动化学报,2002,28(6):10431046.
 WANG Wu, YANG Fuwen. Robust H∞ control for linear timedelay uncetain system s w ith controller gain variations［J］. Acta Automatica Sinica,2002,28(6):1043 10 4 6. 
［7］XIE N, TANG G Y. Delaydependent nonfragile guaranteed cost c ontrol f or nonlinear timedelay systems［J］. Nonlinear Analysis, 2006, 64(9): 208420 9 7.
［8］王 武,杨富文.不确定离散系统的鲁棒非脆弱H∞控制［J］.控制工程,2005 ,12(4):335338.
WANG Wu, YANG Fuwen. Robust and nonfragile 〖LL〗H∞ control for discretet ime un certain linear systems［J］. Control Engineering of China,2005,12(4):335338.
［9］XIE L. Output feedback H∞ control of systems with parameter uncer tainty［J］. Int J Control,1996,63(4):741750.
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