Prescribed-time and output feedback stabilization of heat equation with intermediate-point heat source and boundary control

被引：1

作者：

Wei, Chengzhou ^{[1
]}

Xia, Zhile ^{[1
]}

机构：

[1] Taizhou Univ, Sch Elect & Informat Engn, 1139 Shifu Ave, Taizhou 318000, Zhejiang, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2024年 / 192卷

关键词：

Prescribed time stabilization; Time-varying feedback; Heat equation; Intermediate point heat source; Boundary control; LINEAR-SYSTEMS; SPACE; PDES;

D O I：

10.1016/j.sysconle.2024.105891

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper addresses the problem of prescribed-time stabilization for the heat equation with an interior point heat source under output feedback. The study employs a two-step backstepping approach along with time- varying feedback techniques. A prescribed-time state observer and an observer-based boundary control law are developed. The proposed method extends the applicability of the prescribed time-stabilizing algorithm to heat equations with non-strict feedback terms. Numerical simulations validate its effectiveness.

引用

页数：12

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