Delayed sliding mode control

被引:33
|
作者
Efimov, Denis [1 ,2 ,3 ]
Polyakov, Andrey [1 ,2 ,3 ]
Fridman, Leonid [4 ]
Perruquetti, Wilfrid [1 ,2 ]
Richard, Jean-Pierre [1 ,2 ]
机构
[1] Inria, NonA Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
[2] Ecole Cent Lille, CNRS, CRIStAL, UMR 9189, BP 48,Cite Sci, F-59651 Villeneuve Dascq, France
[3] ITMO Univ, Dept Control Syst & Informat, 49 Kronverkskiy Ave, St Petersburg 197101, Russia
[4] 4430 Inst Regelungs & Automatisierungstech, Kopernikusgasse 24-2, A-8010 Graz, Austria
关键词
Sliding mode; Time delay; Stability analysis; VARIABLE STRUCTURE CONTROL; FINITE-TIME STABILITY; SYSTEMS;
D O I
10.1016/j.automatica.2015.10.055
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new sliding mode control approach is introduced in this work with the dedicated mathematical tools. A time-delay modification/approximation of sign function is proposed, and it is shown that by substituting this new "sign" realization in the conventional sliding mode algorithms the main advantages of the sliding mode tools are preserved (like rejection of matched disturbances and hyper-exponential convergence, i.e. the rate of convergence to the origin is much faster than any exponential (Polyakov, Efimov, Perruquetti, & Richard, 2014)), while the chattering is reduced. These results are illustrated and confirmed by numerical simulations for the first order sliding mode control and the super-twisting algorithm. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:37 / 43
页数:7
相关论文
共 50 条
  • [41] Disturbance Observer-Based Control to Guarantee a Sliding Mode Without Sliding Mode Control
    Lee, Keonwoo
    Cha, Jaejun
    Park, Seungkyu
    IEEE ACCESS, 2023, 11 : 95632 - 95638
  • [42] Sliding Mode Control of Fractional-Order Delayed Memristive Chaotic System with Uncertainty and Disturbance
    丁大为
    刘芳芳
    陈辉
    王年
    梁栋
    Communications in Theoretical Physics, 2017, 68 (12) : 741 - 748
  • [43] Fractional order sliding mode control based on delayed output observer for unmanned aircraft system
    Sondhi, Swati
    Bist, Ashutosh
    AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY, 2022, 94 (08) : 1303 - 1311
  • [44] Event-triggered Integral Sliding Mode Control
    Yesmin, Asifa
    Bera, Manas Kumar
    PROCEEDINGS OF THE 2019 IEEE REGION 10 CONFERENCE (TENCON 2019): TECHNOLOGY, KNOWLEDGE, AND SOCIETY, 2019, : 1387 - 1392
  • [45] APPLICATION OF SLIDING MODE CONTROL TO SWARMS UNDER CONFLICT
    Cepeda-Gomez, Rudy
    Olgac, Nejat
    Sierra, Daniel A.
    PROCEEDINGS OF THE ASME DYNAMIC SYSTEMS AND CONTROL CONFERENCE 2010, VOL 2, 2010, : 615 - 622
  • [46] Robust Sliding Mode Control of a Vapor Compression Cycle
    Kim, Nakhoon
    Park, Yunki
    Son, Jung E.
    Shin, Seongjin
    Min, Byounghyuk
    Park, Hyungjin
    Kang, Seokhyun
    Hur, Hyun
    Ha, Man Yeoung
    Lee, Min Cheol
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (01) : 62 - 78
  • [47] A new terminal sliding mode control for robotic manipulators
    Zhao, Dongya
    Li, Shaoyuan
    Gao, Feng
    INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (10) : 1804 - 1813
  • [48] Discussions on Smooth Modifications of Integral Sliding Mode Control
    Pan, Yongping
    Joo, Young Hoon
    Yu, Haoyong
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (02) : 586 - 593
  • [49] Sliding Mode Control of Fractional-Order Delayed Memristive Chaotic System with Uncertainty and Disturbance
    Ding, Da-Wei
    Liu, Fang-Fang
    Chen, Hui
    Wang, Nian
    Liang, Dong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 68 (06) : 741 - 748
  • [50] Discrete Sliding Mode Control for Hypersonic Cruise Missile
    Fan, Yong Hua
    Yan, Peng Peng
    Wang, Fan
    Xu, Hong Yang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016