Sliding mode control design using canonical homogeneous norm

被引:67
|
作者
Polyakov, Andrey [1 ,2 ]
机构
[1] Inria Lille Nord Europe, NON A Team, Villeneuve Dascq, France
[2] ITMO Univ, Dept Control Syst & Informat, St Petersburg, Russia
基金
俄罗斯科学基金会;
关键词
homogeneous systems; sliding mode control; stability; FINITE-TIME STABILITY; LYAPUNOV FUNCTION; STABILIZATION; SYSTEMS; ORDER; STABILIZABILITY;
D O I
10.1002/rnc.4058
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of sliding mode control design for a nonlinear plant is studied. The necessary and sufficient conditions of quadratic-like stability (stabilizability) for a nonlinear homogeneous (control) system are obtained. Sufficient conditions of robust stability/stabilizability are deduced. The results are supported with academic examples of sliding mode control design.
引用
收藏
页码:682 / 701
页数:20
相关论文
共 50 条
  • [21] Chaos control in AFM system using sliding mode control by backstepping design
    Wang, Cheng-Chi
    Pai, Neng-Sheng
    Yau, Her-Terng
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (03) : 741 - 751
  • [22] Resource Prospector Lander Control Design Using Sliding Mode Control Toolbox
    Kode, Sai Susheel Praneeth
    Shtessel, Yuri
    SOUTHEASTCON 2021, 2021, : 133 - 140
  • [23] Design and Control of Electrorheological Suspension Using Fuzzy Moving Sliding Mode Control
    Sung, Kum-Gil
    Choi, Seung-Bok
    Park, Min-Kyu
    ADVANCED SCIENCE LETTERS, 2011, 4 (03) : 885 - 890
  • [24] Design of electronic stability control for rollover prevention using sliding mode control
    Chen, Bo-Chiuan
    Yu, Cheng-Chi
    Hsu, Wei-Feng
    Lo, Min-Fang
    INTERNATIONAL JOURNAL OF VEHICLE DESIGN, 2011, 56 (1-4) : 224 - 245
  • [25] Homogeneous High Order Sliding Mode design: A Lyapunov approach
    Cruz-Zavala, Emmanuel
    Moreno, Jaime A.
    AUTOMATICA, 2017, 80 : 232 - 238
  • [26] Robust control design using sliding mode observer for uncertain systems
    Ghogare, M. G.
    Musmade, B. B.
    Patil, C. Y.
    Patre, B. M.
    2016 IEEE ANNUAL INDIA CONFERENCE (INDICON), 2016,
  • [27] DESIGN OF TYPE l SERVOMECHANISM USING SLIDING MODE CONTROL.
    Hikita, Hiromitsu
    Kawashima, Yoshinobu
    Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, 1988, 54 (497): : 183 - 188
  • [28] Design of a fuzzy gain scheduler using sliding mode control principles
    Palm, R
    Driankov, D
    FUZZY SETS AND SYSTEMS, 2001, 121 (01) : 13 - 23
  • [29] DESIGN OF A MULTIVARIABLE SERVOMECHANISM USING SLIDING-MODE CONTROL.
    Hikita, Hiromitsu
    Kawashima, Yoshinobu
    Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, 1987, 53 (496): : 2551 - 2554
  • [30] Path following controller design using sliding mode control theory
    Dagci, OH
    Ogras, ÜY
    Özgüner, O
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 903 - 908