Parameter-dependent H∞ Control for Time-varying Delay Polytopic Systems

被引：0

作者：

V. N. Phat

Q. P. Ha

H. Trinh

机构：

[1] VAST,Institute of Mathematics

[2] University of Technology Sydney,Faculty of Engineering and Information Technology

[3] Deakin University,School of Engineering

来源：

Journal of Optimization Theory and Applications | 2010年 / 147卷

关键词：

control; Polytopic uncertain systems; Time-delay; Robust stabilization; Linear matrix inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper addresses the robust stabilization and H∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H∞ control are established in terms of linear matrix inequalities.

引用

页码：58 / 70

页数：12

共 50 条

[41] Stability analysis of uncertain discrete-time systems with time-varying state delay: A parameter-dependent Lyapunov function approach
Gao, Huijun
Lam, James
Chen, Tongwen
Wang, Changhong
[J]. ASIAN JOURNAL OF CONTROL, 2006, 8 (04) : 433 - 440
[42] Stability analysis of time-varying systems via parameter-dependent homogeneous Lyapunov functions
[J]. Zhang, Huasheng, 1600, Southeast University (30):
[43] Linear matrix inequality stability conditions from a parameter-dependent Lyapunov functional for linear systems with a time-varying delay
Fong, I-K
Lin, C-P
Huang, J-S
[J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2010, 224 (I6) : 701 - 712
[44] A Parameter-Dependent Approach to Robust H∞ Filtering for Time-Delay Systems
Gao, Huijun
Meng, Xiangyu
Chen, Tongwen
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (10) : 2420 - 2425
[45] Local adaptive observer for linear time-varying systems with parameter-dependent state matrices
Postoyan, Romain
Zhang, Qinghua
[J]. 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 4649 - 4654
[46] Parameter-dependent homogeneous Lyapunov functions for robust stability of linear time-varying systems
Chesi, G
Garulli, A
Tesi, A
Vicino, A
[J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 4095 - 4100
[47] H∞ state feedback switched control for discrete time-varying polytopic systems
Deaecto, Grace S.
Geromel, Jose C.
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (04) : 591 - 598
[48] Mixed H2/H∞ filtering for continuous-time polytopic systems:: A parameter-dependent approach
Gao, HJ
Lam, J
Wang, CH
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2005, 24 (06) : 689 - 702
[49] Delay-dependent H∞ control for uncertain fuzzy systems with time-varying delays
Liu, Xingwen
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) : 1352 - 1361
[50] Delay-dependent robust H∞ control for uncertain systems with time-varying delays
Cao, YY
Sun, YX
Lam, J
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (03): : 338 - 344

← 1 2 3 4 5 →