Disturbance rejection in general heterodirectional 1-D linear hyperbolic systems using collocated sensing and control

We solve a disturbance rejection problem for a general class of heterodirectional 1-D linear hyperbolic partial differential equations (PDEs). The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary. We do this by combining a separately designed contro...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 76; pp. 230 - 242
Main Authors Anfinsen, Henrik, Aamo, Ole Morten
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2017
Subjects
Backstepping
Distributed systems
Disturbance rejection
Partial differential equations
Disturbance rejection
Backstepping
Partial differential equations
Distributed systems
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Summary:We solve a disturbance rejection problem for a general class of heterodirectional 1-D linear hyperbolic partial differential equations (PDEs). The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary. We do this by combining a separately designed controller and observer into an output feedback controller, and proving stability of the overall closed loop system and exponential regulation of the control objective to zero. The theory is demonstrated in a simulation.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2016.10.027