Tracking Control of a Wave Equation with Boundary Disturbance: Combining ADRC and Differential Flatness

被引：0

作者：

Zhang, Yu-Long ^{[1
]}

Wang, Jun-Min ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC) | 2021年

关键词：

Wave Equation; Tracking Control; ADRC; Differential Flatness; UNBOUNDED CONTROL; OUTPUT REGULATION; REJECTION; STABILIZATION; SUBJECT; SYSTEMS;

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：

In this paper, we study the tracking control problem of a wave equation with boundary disturbance. Applying the active disturbance rejection control (ADRC) method, the unknown disturbance is estimated by the extended state observer (ESO). The flatness-based method for trajectory planning is applied to derive the feedforward controller, which allows us to realize the tracking of suitably prescribed trajectories for the system output. Combining the disturbance estimation and the feedforward controller, a feedback controller is designed to stabilize the tracking error system. The closed-loop system of the tracing error is proved to be asymptotically stable and the tracking performance is illustrated by numerical simulation.

引用

页码：897 / 902

页数：6

共 21 条

[1]

[Anonymous], 2003, BERICHTE STEUERUNGS

[2]

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

[3]

Cu J. J., 2018, J DYN CONTROL SYST, V24, P563

[4] Trajectory Planning Approach to Output Tracking for a 1-D Wave Equation [J].

Feng, Hongyinping ;

Guo, Bao-Zhu ;

Wu, Xiao-Hui .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (05) :1841-1854

[5] FLATNESS AND DEFECT OF NONLINEAR-SYSTEMS - INTRODUCTORY THEORY AND EXAMPLES [J].

FLIESS, M ;

LEVINE, J ;

MARTIN, P ;

ROUCHON, P .

INTERNATIONAL JOURNAL OF CONTROL, 1995, 61 (06) :1327-1361

[6] PDE-based multi-agent formation control using flatness and backstepping: Analysis, design and robot experiments [J].

Freudenthaler, Gerhard ;

Meurer, Thomas .

AUTOMATICA, 2020, 115

[7] Backstepping-based output regulation of ordinary differential equations cascaded by wave equation with in-domain anti-damping [J].

Gu, Jianjun ;

Wei, Chunqiu ;

Wang, Junmin .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (01) :246-262

[8] Robust output regulation for Timoshenko beam equation with two inputs and two outputs [J].

Guo, Bao-Zhu ;

Meng, Tingting .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (04) :1245-1269

[9] Robust error based non-collocated output tracking control for a heat equation [J].

Guo, Bao-Zhu ;

Meng, Tingting .

AUTOMATICA, 2020, 114

[10] 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

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