A comparison H ∞ control method for uncertain system with time-varying delay
作者： Xiao Min , Shi Zhongke
DOI: 10.1109/ICMIC.2011.5973737
关键词: Exponential stability 、 Control theory 、 Full state feedback 、 Function (mathematics) 、 Upper and lower bounds 、 Weighting 、 Interval (mathematics) 、 Nonlinear system 、 Bounding overwatch 、 Mathematics
摘要: This paper deals with the problem of delay-dependent guaranteed cost H ∞ control for an improvement interval system time-varying delay. The delay is assumed to be in and derivative not restricted, where only upper lower bounds are known, this allows a fast function. Based on Lyapunov-Ktasovskii functional, which fractionizes average bound deal easily 0, free weighting matrices approach without using general model transformation, bounding technique handle uncertain nonlinear between B K. A bounded real lemma (BRL) then criterion existence state feedback controller established. guarantees function disturbance attenuation lever all admissible uncertainties. comparison Numerical example given illustrate effectiveness proposed design method.
sci-hub.se 参考文章(17)
R.M. Palhares, C.D. Campos, M.C.R. Leles, P.Y. Ekel, M.F.S.V. D'Angelo, On delay-dependent robust /spl Hscr//sub /spl infin// control of uncertain continuous-and discrete-time linear systems with lumped delays conference on decision and control. ,vol. 4, pp. 4032- 4037 ,(2003) , 10.1109/CDC.2003.1271781
Xiefu Jiang, Qing-Long Han, On H∞ control for linear systems with interval time-varying delay Automatica. ,vol. 41, pp. 2099- 2106 ,(2005) , 10.1016/J.AUTOMATICA.2005.06.012
Dongmei Zhang, Li Yu, Non-fragile guaranteed cost control for a class of uncertain singular time-delay systems world congress on intelligent control and automation. ,vol. 1, pp. 923- 927 ,(2004) , 10.1109/WCICA.2004.1340732
Yong He, Qing-Guo Wang, Chong Lin, Min Wu, Technical communique: Delay-range-dependent stability for systems with time-varying delay Automatica. ,vol. 43, pp. 371- 376 ,(2007) , 10.1016/J.AUTOMATICA.2006.08.015
Xiefu Jiang, Qing-Long Han, Technical communique: Delay-dependent robust stability for uncertain linear systems with interval time-varying delay Automatica. ,vol. 42, pp. 1059- 1065 ,(2006) , 10.1016/J.AUTOMATICA.2006.02.019
Huijun Gao, Changhong Wang, Comments and further results on "A descriptor system approach to H/sub /spl infin// control of linear time-delay systems" IEEE Transactions on Automatic Control. ,vol. 48, pp. 520- 525 ,(2003) , 10.1109/TAC.2003.809154
Huai-Ning Wu, Han-Xiong Li, None, New Approach to Delay-Dependent Stability Analysis and Stabilization for Continuous-Time Fuzzy Systems With Time-Varying Delay IEEE Transactions on Fuzzy Systems. ,vol. 15, pp. 482- 493 ,(2007) , 10.1109/TFUZZ.2006.889963
Li Yu, Jian Chu, Technical Communique: An LMI approach to guaranteed cost control of linear uncertain time-delay systems Automatica. ,vol. 35, pp. 1155- 1159 ,(1999) , 10.1016/S0005-1098(99)00007-2
Huaguang Zhang, Yingchun Wang, Derong Liu, Delay-Dependent Guaranteed Cost Control for Uncertain Stochastic Fuzzy Systems With Multiple Time Delays systems man and cybernetics. ,vol. 38, pp. 126- 140 ,(2008) , 10.1109/TSMCB.2007.910532
Yong He, Min Wu, Jin-Hua She, Guo-Ping Liu, Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Systems & Control Letters. ,vol. 51, pp. 57- 65 ,(2004) , 10.1016/S0167-6911(03)00207-X