Boundary stabilization of distributed parameter systems governed by symmetric linear hyperbolic system using backstepping approach

Jun Jun Liu, Jun Min Wang

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

Abstract

In this paper, we are concerned with the frequency and time domain behavior of a heat exchanger network system. The system is governed by first-order symmetric hyperbolic linear partial differential equations with spatially varying coefficients. We use a backstepping approach to transform the system into a target system which has arbitrary decay rate. The state feedback is thus designed. It is shown that the original closed-loop system is exponentially stable with given arbitrary decay rate. Then, we construct a collocated boundary observer which only needs measurements on the controlled boundary, and show the convergence of observer estimates. Both results are combined to obtain a collocated output feedback law.

Original languageEnglish
Title of host publicationProceedings of the 32nd Chinese Control Conference, CCC 2013
PublisherIEEE Computer Society
Pages1264-1269
Number of pages6
ISBN (Print)9789881563835
Publication statusPublished - 18 Oct 2013
Event32nd Chinese Control Conference, CCC 2013 - Xi'an, China
Duration: 26 Jul 201328 Jul 2013

Publication series

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

Conference

Conference32nd Chinese Control Conference, CCC 2013
Country/TerritoryChina
CityXi'an
Period26/07/1328/07/13

Keywords

  • Backstepping method
  • Boundary control
  • Hyperbolic equations
  • Stability

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