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

被引：0
|
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
收藏
页数：12
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