Sliding mode control of linear time delay systems: A design via LMIs

被引:0
|
作者
Gouaisbaut, Frederic [1 ]
Dambrine, Michel [1 ]
Richard, Jean Pierre [1 ]
机构
[1] LAIL-UPRESA CNRS 8021, Ecole Centrale, LILLE, BP 48, 59651 Villeneuve d'Ascq Cedex, France
关键词
Constraint theory - Delay control systems - Linear control systems - Lyapunov methods - Matrix algebra - Optimization - Relay control systems - Uncertain systems;
D O I
暂无
中图分类号
学科分类号
摘要
Two types of sliding mode controllers for uncertain time delay system are designed. The conditions for the existence of the sliding regime are studied via Lyapunov-Krasovskii functionals. The upper bound of the delay is then shown to be the solution of a convex minimization problem expressed in terms of LMIs. A third-order example illustrates the design methods.
引用
收藏
页码:83 / 94
相关论文
共 50 条
  • [21] Design of quasi-sliding mode observers via LMIs
    Javier Fraguio, Alberto
    Luis Mancilla-Aguilar, Jose
    Zanini, Anibal
    REVISTA IBEROAMERICANA DE AUTOMATICA E INFORMATICA INDUSTRIAL, 2008, 5 (03): : 54 - +
  • [22] Delay-independent sliding mode control of time-delay linear fractional order systems
    Yousefi, M.
    Binazadeh, T.
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (04) : 1212 - 1222
  • [23] Robust observer design for uncertain Itô neutral stochastic time-delay systems via sliding mode control
    Li Q.-P.
    Li W.-L.
    Journal of Mathematical Sciences, 2009, 161 (2) : 283 - 296
  • [24] H∞ Control for Stochastic Systems with Markovian Switching and Time-Varying Delay via Sliding Mode Design
    Gao, Lijun
    Wu, Yuqiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [25] Quantized feedback control for time-delay systems via sliding mode observers
    Tang, Hongji
    Zhang, Xiaomei
    Zhu, Hong
    Lv, Jing
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (01) : 1 - 23
  • [26] Robust Stability Analysis and Synthesis of Linear Time-Delay Systems via LMIs
    Sarabi, Fatemeh Eghbal
    Khatibi, Hamid
    Momeni, Hamid Reza
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 615 - 620
  • [27] Delay estimation via sliding mode for nonlinear time-delay systems
    Zheng, Gang
    Polyakov, Andrey
    Levant, Arie
    AUTOMATICA, 2018, 89 : 266 - 273
  • [28] Sliding mode predictive control for long delay time systems
    Da, FP
    PHYSICS LETTERS A, 2006, 348 (3-6) : 228 - 232
  • [29] A sliding mode control for uncertain time-delay systems
    Wu, Jun-Sheng
    Weng, Zheng-Xin
    Tian, Zuo-Hua
    Shi, Song-Jiao
    Journal of Donghua University (English Edition), 2008, 25 (03) : 297 - 303
  • [30] A Sliding Mode Control for Uncertain Time-delay Systems
    吴军生
    翁正新
    田作华
    施颂椒
    JournalofDonghuaUniversity(EnglishEdition), 2008, (03) : 297 - 303