Sliding mode control to the stabilization of a linear 2×2 hyperbolic system with boundary input disturbance

Shuxia Tang, Miroslav Krstic

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

18 Scopus citations

Abstract

In this paper, sliding mode control approach is used to stabilize a 2×2 system of first-order linear hyperbolic PDEs subject to boundary input disturbance. Disturbance rejection is achieved, and with the designed first-order sliding mode controller, the resulting closed-loop system admits a unique (mild) solution without chattering. Convergence to the chosen infinite-dimensional sliding surface of state trajectories takes place in a finite time. Then on the sliding surface, the system is exponentially stable with a decay rate depending on the spatially varying system coefficients. A simulation example is presented to illustrate the effectiveness and performance of sliding mode control method.

Original languageEnglish
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1027-1032
Number of pages6
ISBN (Print)9781479932726
DOIs
StatePublished - 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR
Period06/4/1406/6/14

Keywords

  • Backstepping
  • Disturbance rejection
  • First-order sliding mode control
  • Linear 2×2 hyperbolic system

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