Robust control of linear system with a time-varying delay: A sliding mode control design via LMI.

被引:0
|
作者
Gouaisbaut, F [1 ]
Dambrine, M [1 ]
Richard, JP [1 ]
机构
[1] Ecole Cent Lille, CNRS, UPRESA 8021, LAIL, F-59651 Villeneuve Dascq, France
关键词
sliding mode control; time delay systems; convex optimization;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers the sliding mode control of uncertain systems with single, time-varying state-delay, submitted to additive perturbations (possibly nonvanishing). The sliding surface is designed so to maximize the calculable set of admissible delays (this means, those which don't destabilize the relay-delay system)The conditions for the existence of the sliding regime are studied by using a Liapunov-Razumikhin function. LMIs are used for the optimization procedure. An example illustrates the proposed method. Copyright (C) 2001 IFAC.
引用
收藏
页码:443 / 447
页数:5
相关论文
共 50 条
  • [31] Flexible Robust Sliding Mode Control for Uncertain Stochastic Systems with Time-Varying Delay and Structural Uncertainties
    Wang, Sheng-Guo
    Bai, Libin
    [J]. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 1536 - 1541
  • [32] ROBUST FINITE-TIME CONTROL FOR LINEAR TIME-VARYING DELAY SYSTEMS WITH BOUNDED CONTROL
    Niamsup, P.
    Phat, V. N.
    [J]. ASIAN JOURNAL OF CONTROL, 2016, 18 (06) : 2317 - 2324
  • [33] Robust H∞ control for linear delay systems with time-varying uncertainties
    Zheng, Lian-Wei
    Liu, Xiao-Ping
    Zhang, Qing-Ling
    [J]. Zidonghua Xuebao/Acta Automatica Sinica, 2001, 27 (03): : 377 - 380
  • [34] Design of sliding mode control for structural vibration system with time-varying transmission delays
    Dipesh Shah
    Devesh Soni
    [J]. International Journal of Dynamics and Control, 2021, 9 : 645 - 657
  • [35] Design of sliding mode control for structural vibration system with time-varying transmission delays
    Shah, Dipesh
    Soni, Devesh
    [J]. INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2021, 9 (02) : 645 - 657
  • [36] State estimation and sliding mode control for non-linear singular systems with time-varying delay
    Kchaou, Mourad
    El-Hajjaji, Ahmed
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 4145 - 4150
  • [37] Delay-Dependent Robust Control for Uncertain Linear System with Time-Varying Delay Based on LMIs
    Jei, Jin
    [J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4375 - 4380
  • [38] Noise Observer Based Sliding Mode Control for Time-Varying Delay Systems
    Cui, Yanliang
    Shi, Guangtian
    Xu, Lanlan
    Zhang, Xiaoan
    Li, Xue
    [J]. INTELLIGENT COMPUTING, NETWORKED CONTROL, AND THEIR ENGINEERING APPLICATIONS, PT II, 2017, 762 : 641 - 651
  • [39] Exponential Admissibility for Singular Systems with Time-varying Delay by Sliding Mode Control
    Zhao Jiemei
    Hu Zhonghui
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 200 - 204
  • [40] Robust Sliding Mode Control for Time-Varying Systems With Adaptive Prescribed Performance
    Li, Hongjun
    Wen, Shengjun
    Yu, Jun
    Li, Hengyi
    [J]. IEEE ACCESS, 2024, 12 : 89046 - 89054