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
  • [41] Sliding Mode Control with a Time-Varying Ellipsoidal Sliding Surface
    Mizoshiri, Taichi
    Mori, Yasuchika
    [J]. 2019 IEEE/SICE INTERNATIONAL SYMPOSIUM ON SYSTEM INTEGRATION (SII), 2019, : 165 - 170
  • [42] Design of a Class of Sliding Mode Observer with Time-Varying Delay
    Xie, Fa-Xiang
    Ji, Bo-Hai
    [J]. ASIAN JOURNAL OF CONTROL, 2016, 18 (01) : 406 - 414
  • [43] Robust Finite-Time Control of Linear System with Non-Differentiable Time-Varying Delay
    Puangmalai, Wanwisa
    Puangmalai, Jirapong
    Rojsiraphisal, Thaned
    [J]. SYMMETRY-BASEL, 2020, 12 (04):
  • [44] Adaptive Fast Terminal Sliding Mode Control for a Class of Nonlinear Systems with Time-Varying Uncertainties via LMI Approach
    Chiang, Tung-Sheng
    Chiu, Chian-Song
    [J]. 2008 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC), VOLS 1-6, 2008, : 2845 - +
  • [45] Discrete-time sliding mode control design for linear time-varying systems: Application to steering control of highway vehicles
    Jalili-Kharaajoo, M
    [J]. ICM '04: PROCEEDINGS OF THE IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS 2004, 2004, : 113 - 116
  • [46] Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations
    Piyapong Niamsup
    Vu N.Phat
    [J]. Machine Intelligence Research, 2018, (03) : 355 - 363
  • [47] Adaptive Robust H∞ Sliding Mode Control for Singular Systems with Time-varying Delay and Uncertain Derivative Matrix
    Liu, Qi
    Li, Rongchang
    Zhang, Qingling
    Li, Jianxun
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (12) : 3179 - 3193
  • [48] Robust Finite-time H ∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations
    Niamsup P.
    Phat V.N.
    [J]. International Journal of Automation and Computing, 2018, 15 (3) : 355 - 363
  • [49] Adaptive Robust H∞ Sliding Mode Control for Singular Systems with Time-varying Delay and Uncertain Derivative Matrix
    Qi Liu
    Rongchang Li
    Qingling Zhang
    Jianxun Li
    [J]. International Journal of Control, Automation and Systems, 2019, 17 : 3179 - 3193
  • [50] Time-Varying Sliding Mode Adaptive Control for Rotary Drilling System
    Li, Lin
    Zhang, Qi-zhi
    Rasol, Nurzat
    [J]. JOURNAL OF COMPUTERS, 2011, 6 (03) : 564 - 570