ROBUSTNESS OF OUTPUT FEEDBACK CONTROL FOR A WAVE-ODE CASCADED SYSTEM TO THE INPUT DELAY MISMATCH

被引：0

作者：

Feng, Xiaodan ^{[1
]}

Zhang, Zhifei ^{[2
]}

Zou, Yiyang ^{[3
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[3] Nanjing Univ Informat Sci & Technol, Reading Acad, Nanjing 210044, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Wave-ODE cascaded system; backstepping; time-varying delays; ro-; bustness; exponential stabilization; UNIFORM STABILIZATION; EQUATION; DESIGN;

D O I：

10.3934/eect.2024017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This paper investigates the robustness of output feedback control to the input delay mismatch for a wave-ODE cascaded system with the timevarying input and output delays. Firstly, we convert the output delay into a transport equation, resulting in a wave-ODE-transport coupled system. Secondly, we design an output feedback control for the coupled system without input delay mismatch, and prove the well-posedness and exponential stability of the closed-loop system. Then, the key point is that we prove that this control still works when there exists an input delay mismatch. Finally, some numerical simulations are given, which illustrate the effectiveness and robustness of the proposed control.

引用

页码：1076 / 1100

页数：25

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