The stability of Schrodinger equation with boundary control matched disturbance

被引：1

作者：

Zhang, Xiaoying ^{[1
,2
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[2] Shanxi Agr Univ, Dept Math, Taigu 030800, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2017年 / 30卷 / 06期

关键词：

Active disturbance rejection control; extended state observer; Schrodinger equation; stability; OUTPUT-FEEDBACK STABILIZATION; UNSTABLE WAVE-EQUATION; ACTIVE DISTURBANCE; REJECTION CONTROL; SUBJECT;

D O I：

10.1007/s11424-017-6048-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the stability of Schrodinger 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 Schrodinger equation is asymptotically stable. These results are illustrated by simulation examples.

引用

页码：1258 / 1269

页数：12

共 20 条

[1] Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam [J].

Chen, G ;

Coleman, MP .

JOURNAL OF SOUND AND VIBRATION, 1997, 204 (04) :696-704

[2] Output feedback stabilization of an unstable wave equation with general corrupted boundary observation [J].

Feng, Hongyinping ;

Guo, Bao-Zhu .

AUTOMATICA, 2014, 50 (12) :3164-3172

[3]

Gohberg I C, 1969, T MATH MONOGRAPHS

[4]

Guo B., 2014, SYSTEM, V20, P539

[5]

Guo B Z, 2012, CONTROL THEORY INFIN

[6] Output Feedback Stabilization for One-Dimensional Wave Equation Subject to Boundary Disturbance [J].

Guo, Bao-Zhu ;

Jin, Feng-Fei .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) :824-830

[7] ACTIVE DISTURBANCE REJECTION CONTROL FOR REJECTING BOUNDARY DISTURBANCE FROM MULTIDIMENSIONAL KIRCHHOFF PLATE VIA BOUNDARY CONTROL [J].

Guo, Bao-Zhu ;

Zhou, Hua-Cheng .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (05) :2800-2830

[8] Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schrodinger equation subject to boundary control matched disturbance [J].

Guo, Bao-Zhu ;

Liu, Jun-Jun .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (16) :2194-2212

[9] On the convergence of an extended state observer for nonlinear systems with uncertainty [J].

Guo, Bao-Zhu ;

Zhao, Zhi-liang .

SYSTEMS & CONTROL LETTERS, 2011, 60 (06) :420-430

[10] Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay [J].

Guo, Bao-Zhu ;

Yang, Kun-Yi .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) :1226-1232

← 1 2 →