Performance boundary output tracking for one-dimensional heat equation with boundary unmatched disturbance

被引：41

作者：

Jin, Feng-Fei ^{[1
]}

Guo, Bao-Zhu ^{[2
,3
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

[2] Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

[3] Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China

来源：

AUTOMATICA | 2018年 / 96卷

基金：

中国国家自然科学基金;

关键词：

Boundary tracking; Heat equation; Unmatched disturbance; Boundary control; DISTRIBUTED-PARAMETER SYSTEMS; WAVE-EQUATION; FEEDBACK STABILIZATION; HARMONIC DISTURBANCE; ACTIVE DISTURBANCE; UNBOUNDED CONTROL; REJECTION CONTROL; SLIDING-MODE; SUBJECT;

D O I：

10.1016/j.automatica.2018.06.020

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, we consider boundary output tracking for a one-dimensional heat equation with external disturbance at the opposite end of the bar. First, an unknown input infinite-dimensional observer is designed and an estimate of disturbance is obtained from the observer. Second, with reference signal and estimate of disturbance, we design a servo system which has bounded solution given that the reference signal and its derivative are bounded. The output feedback boundary control is then designed by the states of servo system and observer. It is proved that the state of closed-loop system tracks the state of the servo system. As a result, the output tracking is included. Finally, some simulation results are presented to illustrate the effectiveness of the proposed scheme. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1 / 10

页数：10

共 21 条

[1]

Byrnes CI, 2000, IEEE T AUTOMAT CONTR, V45, P2236, DOI 10.1109/9.895561

[2]

CALLIER FM, 1980, ANN SOC SCI BRUX, V94, P7

[3] ROBUST CONTROL OF A SERVOMECHANISM PROBLEM FOR LINEAR TIME-INVARIANT MULTIVARIABLE SYSTEMS [J].

DAVISON, EJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (01) :25-34

[4] TRACKING AND DISTURBANCE REJECTION OF MIMO NONLINEAR-SYSTEMS WITH PI CONTROLLER [J].

DESOER, CA ;

LIN, CA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (09) :861-867

[5] A backstepping approach to the output regulation of boundary controlled parabolic PDEs [J].

Deutscher, Joachim .

AUTOMATICA, 2015, 57 :56-64

[6] A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance [J].

Feng, Hongyinping ;

Guo, Bao-Zhu .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) :3774-3787

[7] LINEAR-MULTIVARIABLE REGULATOR PROBLEM [J].

FRANCIS, BA .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (03) :486-505

[8] 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

[9] Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input [J].

Guo, Bao-Zhu ;

Jin, Feng-Fei .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (05) :1269-1274

[10] Adaptive rejection of harmonic disturbance anticollocated with control in 1D wave equation [J].

Guo, Wei ;

Shao, Zhi-Chao ;

Krstic, Miroslav .

AUTOMATICA, 2017, 79 :17-26

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