Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

Jun Min Wang, Li Li Wang, Jun Jun Liu, Beibei Ren

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

Abstract

In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

Original languageEnglish
Title of host publicationProceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages856-860
Number of pages5
EditionMarch
ISBN (Electronic)9781479958252
DOIs
StatePublished - Mar 2 2015
Event2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China
Duration: Jun 29 2014Jul 4 2014

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)
NumberMarch
Volume2015-March

Conference

Conference2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
CountryChina
CityShenyang
Period06/29/1407/4/14

Keywords

  • Backstepping
  • Boundary control
  • Cascade systems
  • Disturbance rejection
  • Sliding mode control

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