Output Tracking of an Anti-Stable Wave Equation Subject to Boundary Disturbance with Non-Collocated Feedback

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Abstract

In this paper, we study the output tracking problem of an anti-stable wave equation subject to boundary control matched disturbance. The desired reference tracking is derived by using the differential flatness method, which allows us to realize the tracking of suitably prescribed trajectories for the system output. To stabilize the tracking error system, a feedback control is designed, which contains a non-collocated part and an estimation of disturbance based on the active disturbance rejection control (ADRC) approach. The closed-loop tracking error system is proved to be asymptotically stable and the tracking performance is illustrated by numerical simulation.

Original languageEnglish
Title of host publication2023 42nd Chinese Control Conference, CCC 2023
PublisherIEEE Computer Society
Pages944-949
Number of pages6
ISBN (Electronic)9789887581543
DOIs
Publication statusPublished - 2023
Event42nd Chinese Control Conference, CCC 2023 - Tianjin, China
Duration: 24 Jul 202326 Jul 2023

Publication series

NameChinese Control Conference, CCC
Volume2023-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference42nd Chinese Control Conference, CCC 2023
Country/TerritoryChina
CityTianjin
Period24/07/2326/07/23

Keywords

  • ADRC
  • Anti-stable Wave Equation
  • Non-collocated control
  • Tracking Control

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