H∞-control design for systems with multiple delays

被引:15
|
作者
Zribi, M [1 ]
Mahmoud, MS [1 ]
机构
[1] Kuwait Univ, Dept Elect & Comp Engn, Safat 13060, Kuwait
关键词
H infinity; control; design; multiple delays; state and input delays; linear matrix inequality;
D O I
10.1016/S0045-7906(99)00016-6
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, H-infinity-control design is developed for a class of linear dynamical systems with multiple state and input delays. Both the asymptotic stability conditions and the H-infinity-norm bound of the closed-loop transfer function are established. Feedback control synthesis is developed using state feedback. In addition, when the class of linear systems with multiple state and input delays undergoes norm-bound uncertainties, H-infinity-control synthesis is established. The developed results are conveniently cast into linear matrix inequality (LMI) framework. Simulation examples are given to illustrate the theoretical developments. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:451 / 475
页数:25
相关论文
共 50 条
  • [42] H∞ control for continuous-time systems with multiple input delays:: A smoothing estimation approach
    Zhang, Huanshui
    Xie, Lihua
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4358 - +
  • [43] A Control Method for MIMO Systems with Multiple Time Delays
    Tong, Bufan
    Chen, Juan
    Wang, Hang
    Yu, Yakun
    2017 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2017, : 2203 - 2208
  • [44] Delay-dependent robust H∞ control for uncertain descriptor systems with multiple state delays
    Du, Zhaoping
    Zhang, Qingling
    Chang, Guisong
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2010, 31 (04): : 375 - 387
  • [45] Delay-dependent robust H∞ control for uncertain singular systems with multiple state delays
    Du, Z. P.
    Zhang, Q. L.
    Li, Y.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06): : 731 - 740
  • [46] Supervised Networked Control Systems with Multiple Time Delays
    Shi, Meifang
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2356 - 2359
  • [47] Robust controllability of linear systems with multiple delays in control
    Chen, S. -H.
    Chou, F. -I
    Chou, J. -H.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (10): : 1552 - 1556
  • [48] Controllability of Semilinear Systems with Multiple Variable Delays in Control
    Klamka, Jerzy
    MATHEMATICS, 2020, 8 (11) : 1 - 9
  • [49] Optimal Control for Stochastic Systems with Multiple Input Delays
    Li Lin
    Zhang Huanshui
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2281 - 2286
  • [50] H∞ CONTROL SYNTHESIS FOR LURIE NETWORKED CONTROL SYSTEMS WITH MULTIPLE DELAYS BASED ON THE NON-UNIFORM CHARACTERISTIC
    Li, Peiran
    Bao, Zhejing
    Yang, Qiang
    Yan, Wenjun
    ASIAN JOURNAL OF CONTROL, 2013, 15 (04) : 1112 - 1123