Stabilization of a class of stochastic nonlinear systems using a bang-bang controller

被引:0
|
作者
Barbata, Asma [1 ,2 ]
Zasadzinski, Michel [3 ]
Ali, Harouna Souley [3 ]
机构
[1] Univ Polytech Hauts France, LAMIH UMR CNRS 8201, F-59313 Valenciennes, France
[2] Univ Monastir, Fac Sci, Dept Math, Monastir, Tunisia
[3] Univ Lorraine, CRAN UMR CNRS 7039, Cosnes Et Romain, France
关键词
almost sure exponential stability; bang-bang control; linear matrix inequalities (LMIs); observer-based control; stochastic differential equation; SLIDING-MODE CONTROL; H-INFINITY CONTROL; DIFFERENTIAL-EQUATIONS; FEEDBACK-CONTROL; STABILITY; DESIGN; STATE;
D O I
10.1002/rnc.6175
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 article, a bang-bang control strategy is proposed to almost surely exponentially stabilize a class of nonlinear stochastic systems driven by multiplicative noises. Two cases are considered: first, a state feedback control if the whole state is measured and, second, an observer-based feedback control if the state is partially measured.
引用
收藏
页码:6849 / 6865
页数:17
相关论文
共 50 条
  • [1] The Bang-Bang Funnel Controller for Uncertain Nonlinear Systems With Arbitrary Relative Degree
    Liberzon, Daniel
    Trenn, Stephan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (12) : 3126 - 3141
  • [2] The Bang-Bang Funnel Controller
    Liberzon, Daniel
    Trenn, Stephan
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 690 - 695
  • [3] STOCHASTIC BANG-BANG CONTROL
    AHMED, NU
    TEO, KL
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (01) : 73 - 75
  • [4] ON ASYMMETRIC STOCHASTIC BANG-BANG CONTROL
    WEINER, HJ
    INTERNATIONAL JOURNAL OF CONTROL, 1981, 34 (06) : 1215 - 1219
  • [5] ON A CLASS OF NONLINEAR DIFFERENTIAL GAMES WITH BANG-BANG CONTROLLABILITY.
    Wolanowski, M.A.
    Polish Academy of Sciences, Institute of Fundamental Technical Research, Nonlinear Vibration Problems/Zagadnienia Drgan Nieliniowych, 1979, (19): : 85 - 93
  • [6] Approximate bang-bang control assisted rapid switching feedback stabilization for stochastic qubit systems
    Li, Gan
    Liu, Yanan
    Kuang, Sen
    Xiang, Chengdi
    Journal of the Franklin Institute, 2022, 359 (05) : 2073 - 2091
  • [7] Feedback stabilization of N-dimensional stochastic quantum systems based on bang-bang control
    Sun X.
    Kuang S.
    Liu Y.
    Zhou J.
    Cong S.
    Control Theory and Technology, 2017, 15 (3) : 206 - 218
  • [8] Approximate bang-bang control assisted rapid switching feedback stabilization for stochastic qubit systems
    Li, Gan
    Liu, Yanan
    Kuang, Sen
    Xiang, Chengdi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (05): : 2073 - 2091
  • [9] BANG-BANG PROBLEM FOR STOCHASTIC MATRICES
    JOHANSEN, S
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 26 (03): : 191 - 195
  • [10] SUB-OPTIMAL BANG-BANG CONTROL OF STOCHASTIC SYSTEMS
    NAKAMIZO, T
    IMAI, Y
    INTERNATIONAL JOURNAL OF CONTROL, 1971, 14 (06) : 1183 - +