Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Zhou, Hua-Cheng^1,2  Guo, Bao-Zhu^1,3 

[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Tel Aviv Univ, Sch Elect Engn, IL-69978 Ramat Aviv, Israel

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

关键词: Wave equation;    Boundary control;    Active disturbance rejection control;    Disturbance rejection;    Output feedback stabilization;   

DOI  :  10.1016/j.jde.2017.03.043

来源: Elsevier

【 摘 要 】

In this paper, we consider boundary output feedback stabilization for a multi-dimensional wave equation with boundary control matched unknown nonlinear internal uncertainty and external disturbance. A new unknown input type extended state observer is proposed to recover both state and total disturbance which consists of internal uncertainty and external disturbance. A key feature of the proposed observer in this paper is that we do not use the high-gain to estimate the disturbance. By the active disturbance rejection control (ADRC) strategy, the total disturbance is compensated (canceled) in the feedback loop, which together with a collocated stabilizing controller without uncertainty, leads to an output feedback stabilizing feedback control. It is shown that the resulting closed-loop system is well-posed and asymptotically stable under weak assumption on internal uncertainty and external disturbance. The numerical experiments are carried out to show the effectiveness of the proposed scheme. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free