Prescribed-time stabilisation for uncertain reaction-diffusion equations with Neumann boundary control

被引：9

作者：

Wei, Chengzhou ^{[1
]}

Li, Junmin ^{[1
]}

He, Chao ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710126, Shaanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2023年 / 96卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Reaction-diffusion equations; prescribed-time stabilisation; disturbances estimator; time-varying feedback gain; Neumann boundary control; FINITE-TIME; HEAT-EQUATION; FEEDBACK; SUBJECT; PDES; SYSTEMS; SPACE;

D O I：

10.1080/00207179.2022.2094837

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the Neumann boundary feedback stabilisation for reaction-diffusion equations with matched boundary uncertainties (including internal uncertainty and external disturbance) within a prescribed time, where the convergence time is independent of initial conditions and can be prescribed a priori. We first estimate the uncertainties within the prescribed time by constructing an estimator and then propose the prescribed-time boundary control law by utilising backstepping transformation with a time-varying kernel. Neumann boundary control is verified to be uniformly bounded.

引用

页码：2374 / 2383

页数：10

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