FUNNEL CONTROL FOR THE BOUNDARY CONTROLLED HEAT EQUATION

被引：12

作者：

Reis, Timo ^{[1
]}

Selig, Tilman ^{[2
]}

机构：

[1] Univ Hamburg, Inst Math, D-20146 Hamburg, Germany

[2] Tech Univ Ilmenau, Inst Math, D-98693 Ilmenau, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2015年 / 53卷 / 01期

关键词：

infinite-dimensional linear systems; adaptive control; funnel control; heat equation; boundary control; REGULAR LINEAR-SYSTEMS; ADAPTIVE STABILIZATION; HIGH-GAIN; TRACKING;

D O I：

10.1137/140971567

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 consider an output regulation problem for a single input single output system with dynamics described by the heat equation on some bounded domain Omega subset of R-d with sufficiently smooth boundary. The input is formed by Neumann boundary control, and the output is the surface integral of the state at the boundary. We show that the funnel controller can be applied to this system in order to track a given output reference signal within a prespecified performance funnel.

引用

页码：547 / 574

页数：28

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