The stability of Schrödinger equation with boundary control matched disturbance

被引:0
作者
Xiaoying Zhang
Shugen Chai
机构
[1] Shanxi University,School of Mathematical Sciences
[2] Shanxi Agriculture University,Department of Mathematics
来源
Journal of Systems Science and Complexity | 2017年 / 30卷
关键词
Active disturbance rejection control; extended state observer; Schrödinger equation; stability;
D O I
暂无
中图分类号
学科分类号
摘要
This paper studies the stability of Schrödinger equation with boundary control matched disturbance. The time-varying gain extended state observer is utilized to estimate disturbance and state. Meanwhile, the authors get a continuous controller by the active disturbance rejection control strategy, which shows that the closed-loop system of Schrödinger equation is asymptotically stable. These results are illustrated by simulation examples.
引用
收藏
页码:1258 / 1269
页数:11
相关论文
共 31 条
[1]  
Guo B Z(2015)Output feedback stabilization for one-dimensional wave equation subject to boundary disturbance IEEE Transactions on Automatic Control 60 824-830
[2]  
Jin F F(2014)Stabilization of Euler-Bernoulli beam equation with boundary moment control and disturbance by active disturbance rejection control and sliding mode control approaches Journal of Dynamic and Control Systems 20 539-558
[3]  
Guo B Z(2014)Active disturbance rejection control for rejecting boundary disturbance from multi-dimensional Kirchhoff plate via boundary control SIAM Journal on Control and Optimization 52 2800-2830
[4]  
Zhou H C(2014)Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schrödinger equation subject to boundary control matched disturbance International Robust Nonlinear Control 24 2194-2212
[5]  
AL-Fhaid A S(2010)Output feedback stabilization of one-dimensional Schrödinger equation by boundary observation with time delay IEEE Transactions on Automatic Control 55 1226-1232
[6]  
Guo B Z(2014)Output feedback stabilization of an unstable wave equation with general corrupted boundary observation Automatica 50 3164-3172
[7]  
Zhou H C(2013)Parameter estimation and non-collocated adaptive stabilization for a wave equation subject to general boundary harmonic disturbance IEEE Transactions on Automatic Control 58 1631-1643
[8]  
Guo B Z(2013)Stabilization and regulator design for a one-dimensional unstable wave equation with input harmonic disturbance International Journal of Robust and Nonlinear Control 23 514-533
[9]  
Liu J J(2009)From PID to active distubancee rejection control IEEE Transactions on Industrial Electronics 56 900-906
[10]  
Guo B Z(2015)On active disturbance rejection control for nonlinear systems using time-varying again European Journal of Control 23 62-70