Approximate local output regulation for a class of nonlinear fluid flows

We consider output tracking for a class of viscous nonlinear fluid flows including the incompressible 2D Navier–Stokes equations. The fluid is subject to in-domain inputs and disturbances. We construct an error feedback controller which guarantees approximate local velocity output tracking for a cla...

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Bibliographic Details
Published inEuropean journal of control Vol. 62; pp. 136 - 142
Main Authors Huhtala, Konsta, Paunonen, Lassi
Format Journal Article
LanguageEnglish
Published Philadelphia Elsevier Ltd 01.11.2021
Elsevier Limited
Subjects
Closed loop systems
Controllers
Design
Distributed parameter systems
Error feedback
Feedback control
Fluid dynamics
Fluid flow
Fluid flow systems
Hilbert space
Incompressible flow
Nonlinear systems
Output regulation
Tracking
Velocity
Output regulation
Fluid flow systems
Distributed parameter systems
Nonlinear systems
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Summary:We consider output tracking for a class of viscous nonlinear fluid flows including the incompressible 2D Navier–Stokes equations. The fluid is subject to in-domain inputs and disturbances. We construct an error feedback controller which guarantees approximate local velocity output tracking for a class of reference outputs. The control solution covers point velocity observations and assumes a smooth enough state space. Efficacy of the control solution is illustrated through a numerical example.
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ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2021.06.025