Super-Twisting Algorithm in presence of time and state dependent perturbations

被引:72
作者
Castillo, I [1 ]
Fridman, L. [1 ]
Moreno, J. A. [2 ]
机构
[1] Univ Nacl Autonoma Mexico, Fac Ingn, Mexico City, DF, Mexico
[2] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City, DF, Mexico
关键词
Sliding modes; super-twisting algorithm;
D O I
10.1080/00207179.2016.1269952
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, generalized Super-Twisting Algorithm is applied to a class of systems whose perturbation and uncertain control coefficient are time- and state-dependent. A non-smooth strict Lyapunov function is used to obtain the conditions for the global finite-time stability and to estimate the time of convergence.
引用
收藏
页码:2535 / 2548
页数:14
相关论文
共 17 条
  • [1] Verification of ISS, iISS and IOSS properties applying weighted homogeneity
    Bernuau, Emmanuel
    Polyakov, Andrey
    Efimov, Denis
    Perruquetti, Wilfrid
    [J]. SYSTEMS & CONTROL LETTERS, 2013, 62 (12) : 1159 - 1167
  • [2] Analysis of chattering in continuous sliding-mode controllers
    Boiko, I
    Fridman, L
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (09) : 1442 - 1446
  • [3] Variable Gain Super-Twisting Sliding Mode Control
    Gonzalez, Tenoch
    Moreno, Jaime A.
    Fridman, Leonid
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) : 2100 - 2105
  • [4] Super-twisting observer for second-order systems with time-varying coefficient
    Guzman, Eder
    Moreno, Jaime A.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (04) : 553 - 562
  • [5] Robust exact differentiation via sliding mode technique
    Levant, A
    [J]. AUTOMATICA, 1998, 34 (03) : 379 - 384
  • [6] SLIDING ORDER AND SLIDING ACCURACY IN SLIDING MODE CONTROL
    LEVANT, A
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) : 1247 - 1263
  • [7] Moreno J. A., 2009, 2009 6 IEEE INT C EL, P1
  • [8] Moreno JA, 2011, LECT NOTES CONTR INF, V412, P113
  • [9] Moreno JA, 2008, IEEE DECIS CONTR P, P2856, DOI 10.1109/CDC.2008.4739356
  • [10] Finite Time Stabilization of a Perturbed Double Integrator - Part I: Continuous Sliding Mode-Based Output Feedback Synthesis
    Orlov, Yury
    Aoustin, Yannick
    Chevallereau, Christine
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (03) : 614 - 618