Controller design for a Schrodinger Equation with an input delay via backstepping method

被引：0
作者：
Liu, Dongyi [1 ]
Han, Rumeng [1 ]
Xu, Genqi [1 ]
机构：
[1] Tianjin Univ, Sch Math, Tianjin 300350, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
关键词：
Schrodinger Equation; Backstepping Method; State-Feedback Control; Stability; SMALL TIME-DELAYS; WAVE-EQUATIONS; BOUNDARY CONTROL; STABILIZATION; SYSTEMS; FEEDBACKS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the controller design for a one dimensional Schrodinger equation with an input delay on the boundary. A state-feedback control law is presented via the backstepping method to stabilize the delayed system. The numerical simulation verifies the feasibility of the suggested control law.
引用
收藏
页码：1654 / 1659
页数：6
相关论文
共 19 条
  • [1] Uniform decay rate estimates for Schrodinger and plate equations with nonlinear locally distributed damping
    Bortot, C. A.
    Cavalcanti, M. M.
    Correa, W. J.
    Domingos Cavalcanti, V. N.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (09) : 3729 - 3764
  • [2] Cui H., ASYMPTOTIC BEHAV SCH
  • [3] Stabilization for Schrodinger equation with a time delay in the boundary input
    Cui, Hao-Yue
    Han, Zhong-Jie
    Xu, Gen-Qi
    [J]. APPLICABLE ANALYSIS, 2016, 95 (05) : 963 - 977
  • [4] NOT ALL FEEDBACK STABILIZED HYPERBOLIC SYSTEMS ARE ROBUST WITH RESPECT TO SMALL TIME DELAYS IN THEIR FEEDBACKS
    DATKO, R
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (03) : 697 - 713
  • [5] AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS
    DATKO, R
    LAGNESE, J
    POLIS, MP
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) : 152 - 156
  • [6] Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay
    Guo, Bao-Zhu
    Yang, Kun-Yi
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) : 1226 - 1232
  • [7] Exponential stabilization of variable coefficient wave equations in a generic tree with small time-delays in the nodal feedbacks
    Guo, Yanni
    Chen, Yunlan
    Xu, Genqi
    Zhang, Yaxuan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (02) : 727 - 746
  • [8] Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
    Krstic, Miroslav
    Smyshlyaev, Andrey
    [J]. SYSTEMS & CONTROL LETTERS, 2008, 57 (09) : 750 - 758
  • [9] BOUNDARY CONTROLLERS AND OBSERVERS FOR THE LINEARIZED SCHRODINGER EQUATION
    Krstic, Miroslav
    Guo, Bao-Zhu
    Smyshlyaev, Andrey
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (04) : 1479 - 1497
  • [10] Liang JS, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P809
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