Robust adaptive boundary control of a vibrating string with time-varying constraints

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we present the vibration control design for a string with the boundary time-varying output constraints. To prevent the constraint violations, a novel barrier Lyapunov function is proposed for the control design and stability analysis. The dynamics of the string is a distributed parameter system described by a partial differential equations (PDE) and two ordinary differential equations (ODEs). Firstly, model-based barrier control is employed to suppress the vibration of a nonlinear string under the boundary time-varying output constraints. Subsequently, adaptive control is designed to handle the system parametric uncertainties. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed design.

Original languageEnglish
Title of host publicationProceedings of the 36th Chinese Control Conference, CCC 2017
EditorsTao Liu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1660-1664
Number of pages5
ISBN (Electronic)9789881563934
DOIs
StatePublished - 7 Sep 2017
Externally publishedYes
Event36th Chinese Control Conference, CCC 2017 - Dalian, China
Duration: 26 Jul 201728 Jul 2017

Publication series

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

Conference

Conference36th Chinese Control Conference, CCC 2017
Country/TerritoryChina
CityDalian
Period26/07/1728/07/17

Keywords

  • Boundary control
  • Flexible structures
  • Time-varying output constraints
  • Vibration control

Fingerprint

Dive into the research topics of 'Robust adaptive boundary control of a vibrating string with time-varying constraints'. Together they form a unique fingerprint.

Cite this