Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays:: LMI optimization approach

被引:24
作者
Chen, Jenq-Der [1 ]
机构
[1] Natl Kinmen Inst Technol, Dept Elect Engn, Jinning 892, Kinmen, Taiwan
关键词
D O I
10.1016/j.chaos.2006.01.024
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The H(infinity) robust control problem for a class of uncertain neutral system with both state and input delays is considered. By choosing a Lyapunov-Krasovskii functional, some delay-dependent criteria are proposed to guarantee stabilization and disturbance attenuation of the systems. Linear matrix inequality (LMI) optimization approach is used to solve the H(infinity) control disturbance attenuation problem. Significant improvement for the delay-dependent results has been reached. Computer software Matlab can be applied to obtain all the proposed results. Finally, some numerical examples are given to illustrate the improvement archived in this paper. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:595 / 606
页数:12
相关论文
共 20 条
[1]   Output feedback H∞ control problem for linear neutral systems:: Delay independent case [J].
Baser, U .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02) :177-185
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]   LMI-based robust H∞ control of uncertain neutral systems with state and input delays [J].
Chen, JD .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (03) :553-570
[4]   New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems [J].
Fridman, E .
SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :309-319
[5]  
Gahinet P., 1995, LMI Control Toolbox
[6]   Robust H-infinity state feedback control for linear systems with state delay and parameter uncertainty [J].
Ge, JH ;
Frank, PM ;
Lin, CF .
AUTOMATICA, 1996, 32 (08) :1183-1185
[7]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[8]  
Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7
[9]   Robust stability of uncertain delay-differential systems of neutral type [J].
Han, QL .
AUTOMATICA, 2002, 38 (04) :719-723
[10]   Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65