Prescribed-Time Stabilization of a Thermally Actuated Valve System with a Spring-Mass-Damper

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Abstract

In this paper, we consider the problem of prescribed-time stabilization of a thermally actuated valve system with a spring-mass-damper. By utilizing an invertible time-varying backstepping transformation, a time-varying boundary feedback controller is designed to stabilize the system within a prescribed-time. By employing an appropriate target system with time-varying coefficients, it can be concluded that the kernel of the backstepping transformation becomes time-varying, which conse-quently leads to the time-varying control feedback. The prescribed-time stabilization of the closed-loop system is proven through Lyapunov approach analysis.

Original languageEnglish
Title of host publicationProceedings of the 44th Chinese Control Conference, CCC 2025
EditorsJian Sun, Hongpeng Yin
PublisherIEEE Computer Society
Pages1095-1100
Number of pages6
ISBN (Electronic)9789887581611
DOIs
Publication statusPublished - 2025
Externally publishedYes
Event44th Chinese Control Conference, CCC 2025 - Chongqing, China
Duration: 28 Jul 202530 Jul 2025

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference44th Chinese Control Conference, CCC 2025
Country/TerritoryChina
CityChongqing
Period28/07/2530/07/25

Keywords

  • Backstepping method
  • Cascade system
  • Prescribed-time stabilization
  • Time-varying feedback

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